Faculty Publications

Refereed Journal Papers


B. Freyberg. Face-magic labelings of type (a, b, c) from edge-magic total labelings of type (alpha, beta). Bulletin of the Institute of Combinatorics and its Applications, 93: 80-102, 2021.

D. Froncek (with M.R. Khorsandi, S.R. Musawi, and J. Qiu) A note on nearly Platonic graphs with connectivity one, El. J. Graph Th. Applic., 9 (2021), 195–205.

D. Froncek (with A. Crenshaw) Box-object redistribution problem, Amer. Math. Monthly, 128:5 (2021), 456-456.

D. Froncek (with M. Kubesa) Decomposition of complete graphs into connected unicyclic bipartite graphs with seven edges, Bull. Inst. Combin. Appl., 93 (2021), 52–80.

D. Froncek (with M. Anholcer, S. Cichacz, R. Simanjuntak, J. Qiu) Group distance magic and antimagic hypercubes, Discrete Math. 344(12) (2021), 112625.

D. Froncek (with F.F. Hadiputra, K.A. Sugeng, D.R. Silaban, T.K. Maryati) Chromatic number of super vertex local antimagic total labelings of graphs, El. J. Graph Th. Applic. 9(2) 2021, 485–498.

D. Froncek (with K. Paramasivan and A.V. Prajeesh) Quasi-magic rectangles, J. Combin. Des., (2021) jcd.21820, 1–10.

Joseph A. Gallian, Contemporary Abstract Algebra, 10th ed, CRC Press, 2021

R. Evans, J. Greene, M. Van Veen, Nullities for a class of 0-1 symmetric Toeplitz band matrices, The Electronic Journal of Linear Algebra, 37 (2021), 177-192.

M. Broderius, J. Greene, Lucas sequences containing few primes, The Fibonacci Quarterly, 59 (2021), 136-144.

Nectar biosynthesis is conserved among floral and extrafloral nectaries, Elizabeth C Chatt, Siti-Nabilla Mahalim, Nur-Aziatull Mohd-Fadzil, Rahul Roy, Peter M Klinkenberg, Harry T Horner, Marshall Hampton, Clay J Carter, and Basil J Nikolau, Plant Physiology, 185:4, 1595-1616

Probabilistic models of biological enzymatic polymerizationMarshall Hampton, Miranda Galey, Clara Smoniewski, and Sara L. Zimmer, PLOS ONE

Jain HV, Sorribes IC, Handelman SK, Barnaby JP, Jackson TL. Standing variations modeling captures inter-individual heterogeneity in a deterministic model of prostate cancer response to combination therapy, Cancers, 13(8):1872.
Barnaby JP, Sorribes IC, Jain HV, Relating prostate-specific antigen leakage with vascular tumor growth in a mathematical model of prostate cancer response to androgen deprivation, Computational and Systems Oncology, 1:e1014.

G. Gomez Avalos, Z. Liu, and J.E. Munoz Rivera Gevrey class of locally dissipative Euler-Bernoulli beam equation, SIAM J. Control Optimization, 59 (2021), No. 3, 2174-2194.

Z. Kuang, Z. Liu, and H. Fernandez Sare, Regularity Analysis for an abstract thermoelastic system with inertial term, ESAIM Control Optim. Calc. Var 27 (2021), suppl., Paper No. S24, 29pp.

Z. Liu, R. Quintanilla and Y. Wang, On the regularity and stability of three-phase-lag thermoelastic plate, J. Applicable Analysis, (2021) (0), 1-10.

Z. Liu, R. Quintanilla, Dual-phase-lag one-dimensional thermos-porous-elasticity with microtemperatures, Comput. Appl. Math. 40 (2021), no. 6, Paper No. 231, 12 pp.

Qi, Y. and Zhao, H. (2021).  Limiting empirical spectral distribution for products of rectangular matrices.  Journal of Mathematical Analysis and Application 502, 125237

Qi. Y. (2021).  Discussion on paper "On studying extreme values and systematic risks with nonlinear time series models and tail dependence measures."  Statistical Theory and Related Fields 5, 37-37.  https://doi.org/10.1080/24754269.2020.1862589

Sellers, J. A., and Zanello, F., On the Parity of the Number of Partitions with Odd Multiplicities, International Journal of Number Theory 17, no. 7 (2021), 1717–1728

Alladi, K., Berndt, B. C., Paule, P., Sellers, J., Yee, A. J. (editors), George Andrews:  80 Years of Combinatory Analysis, Trends in Mathematics, Birkhauser, 2021, ISBN 978-3-030-57049-1


B. Freyberg. On constant sum partitions of integers with applications to distance magic-type graphs. AKCE International Journal of Graphs and Combinatorics, 17(1): 373-379, 2020.

B. Freyberg and D. Froncek. Decomposition of complete graphs into unicyclic graphs with eight edges. Journal of Combinatorial Mathematics and Combinatorial Computing, 114: 113-132, 2020.

B. Freyberg and N. Tran. Decomposition of complete graphs into unicyclic bipartite graphs with eight edges. Journal of Combinatorial Mathematics and Combinatorial Computing, 114: 133-142,

D. Froncek (with J. Lee) Decomposition of complete graphs into bi-cyclic graphs with eight edges, Bull. Inst. Combin. Appl., 88 (2020), 30–49. 

D. Froncek (with M. McKeown) Note on diagonal construction of Z 2nm -supermagic labeling of C n  C m , AKCE IJGC, 17(3) (2020), 952–954.

D. Froncek (with S. Cichacz and P. Dyrlaga) Group distance magic Cartesian product of two cycles, Discrete Math., 343(5) (2020), 12 pages, article number 111807.

D. Froncek and B. Kubik. Decomposition of complete graphs into tri-cyclic graphs with eight edges, J.
Combin. Math. Combin. Comput. 114 (2020), 143–166.

Joseph A. Gallian, A dynamic survey of graph labeling, 23st edition, 23 page update of my survey in the Electronic Journal of Combinatorics, (2020) 1-553 #DS6.

Joseph A. Gallian, My journey from Slippery Rock to Duluth, Notices of the American Mathematical Society 67(7) 2020 1008--1009.(August). Reprinted from Living Proof: Stories of Resilience Along the Mathematical Journey, co-published by AMS and MAA,

Joseph A. Gallian, The William Lowell Putnam Mathematical Competition 2001–2016: Problems, Solutions, and Commentary Kiran S. Kedlaya, Daniel M. Kane, Jonathan M. Kane, and Evan M. O’Dorney, Chapter: Analysis of Results 2001–2016 Pages 340-346. Analysis of Results 2001–2016 (by Joseph A. Gallian) Volume: 37; 2020; AMS | MAA Press, 2020.

Joseph A. Gallian, Article in "Count me in: Community and belonging in mathematics," Della Dumbaugh & Deanna Haunsperger (Editors), 73-82, to be published by AMS.

Joseph A. Gallian, David P. Moulton, and Karlee Westrem, Groups of units of Z_p{x] modulo f(x), accepted subject to revision by Involve, a Journal of Mathematics}.

R. Evans, J. Greene, M. Van Veen, Nullities for a class of skew-symmetric Toeplitz band matrices, Linear Algebra and its Applications, 593 (2020), 276-304.

A Global Analysis of Enzyme Compartmentalization to Glycosomes, Hina Durrani, Marshall Hampton, Jon N. Rumbley, and Sara L. Zimmer, 2020, Pathogens, 9:281

Perfahl HP, Jain HV, Joshi T et al. Hybrid modelling of transarterial chemoembolisation therapies (TACE) for hepatocellular carcinoma (HCC), Nature Scientific Reports, 10:10571.
Sorribes IC, Handelman SK, Jain HV, Mitigating temozolomide resistance in glioblastoma via DNA damage-repair inhibition, Journal of the Royal Society Interface, 17:20190722.

Latterell, C. M., & Wilson, J. L. (2020). Mathematical metaphors, memories, and mindsets: An examination of personal, social, and cultural influences on the perception of mathematics. Lanham, MD: Rowman & Littlefield Education.

Latterell, C. M., & Wilson, J. L. (2020). Pre-service elementary education majors’ attitudes toward mathematics: A semantic differential. In P. M. Jenlink (Ed.), The language of mathematics (pp. 33-48). Rowman & Littlef

Z. Liu, R. Quintanilla and Y. Wang, On the regularity and stability of the dual-phase-lag equation, Appl. Math. Lett. 100 (2020) 106038, 8 pp.

K. Ammari, Z. Liu, and F. Shel, Stability of wave equations on a tree with local Kelvin-Voigtdamping, Semigroup Forum, 100 (2020), no. 2, 364-382.

Z. Liu, B. Rao, and Q. Zhang, Polynomial stability of the Rao-Nakra beam with a single internal viscous damping, J. Differential Equations, 269 (2020), no. 7, 6125-6162.

K. Petersen and A. Reid. Gonality and Genus of Canonical Components of Character Varieties, Characters in low-dimensional topology, Contemporary Mathematics, Centre de Recherches Mathéma- tiques Proceedings 760 (2020) pp. 263–292.

Miao, Yu and Qi, Y.  (2020) Spectral radii of circular unitary matrices under light truncation.  Journal of Theoretical Probability   https://doi.org/10.1007/s10959-020-01037-6

Chang, S., Jiang , T. and  Qi. Y. (2020).   Eigenvalues of large chiral non-Hermitian random matrices. Journal of Mathematical Physics 61, 013508 (31 p.)  https://doi.org/10.1063/1.5088607

Li, Y. and Qi, Y.  (2020) Asymptotic distribution of modularity in networks.    Metrika 83, 467-484 https://doi.org/10.1007/s00184-019-00740-7

Qi, Y. and Xie, M. (2020)   Spectral radii of products of random rectangular matrices.  Journal of Theoretical Probability 33, 2185-2212.   https://doi.org/10.1007/s10959-019-00942-9

da Silva, R., Hopkins, B., and Sellers, J. A., Garden of Eden States in Austrian Solitaire, European Journal of Combinatorics 83 (2020), Article 103023
da Silva, R. and Sellers, J. A., New Congruences for 3-Regular Partitions with Designated Summands, INTEGERS 20A (2020), Article A6
da Silva, R. and Sellers, J. A, Infinite Families of Congruences for k-Regular Partitions with Designated Summands, Bulletin of the Brazilian Mathematical Society 51 (2020), 357–370
da Silva, R. and Sellers, J. A., Parity Considerations for Mex-Related Partition Functions of Andrews and Newman, Journal of Integer Sequences 23, no. 5 (2020), Article 20.5.7
Hopkins, B. and Sellers, J. A., Turning the Partition Crank, American Mathematical Monthly 127, no. 7 (2020), 654–657
Hirschhorn, M. D. and Sellers, J. A., Congruences for Overpartitions with Restricted Odd Differences, Ramanujan Journal 53, no. 1 (2020), 167–180


S. Cichacz, B. Freyberg, and D. Froncek. Orientable Zn-distance magic graphs. Discussiones Mathematica Graph Theory, 39(2): 533-546, 2019.

D. Froncek (with J. Qiu) Balanced 3-nearly Platonic graphs, Bull. Inst. Combin. Appl, 86 (2019), 34–63.

D. Froncek (with O. Kingston) Decomposition of complete graphs into connected unicyclic graphs with eight edges and pentagon, Indonesian J. Combin. 3(1) (2019), 24–33.

D. Froncek (with J. Fahnenstiel) Decomposition of complete graphs into connected bipartite unicyclic
graphs with eight edges, Electron. J. Graph Theory Appl. (EJGTA), 9(2) (2019), 235–250.

D. Froncek (with J. Qiu) Supermagic graphs with many odd degrees, Lecture Notes in Comput. Sci., 11638,
Springer, Berlin, 2019, 229–236.

Joseph A. Gallian, The first twenty-five winners of the AWM Alice T. Schafer Prize, Notices of the American Mathematical Society, 66(6) (2019) 870-874.

Joseph A. Gallian, My journey from Slippery Rock to Duluth, Living Proof: Stories of Resilience Along the Mathematical Journey, Allison K. Henrich, Emille D. Lawrence, Matthew A. Pons, David G. Taylor, editors. Providence, Rhode Island : American Mathematical Society: Mathematical Association of America, (2019) 117-119.

Joseph A. Gallian and Shahriyar Roshan Zamir, Factoring subgroups and factor groups of groups of units modulo n, Mathematics Magazine, accepted.

An integrated transcriptomics and metabolomics analysis of the Cucurbita pepo nectary implicates key modules of primary metabolism involved in nectar synthesis and secretion,  Erik M. Solhaug, Rahul Roy, Elizabeth C. Chatt, Peter M. Klinkenberg, Nur-Aziatull Mohd-Fadzil, Marshall Hampton, Basil J. Nikolau, and Clay J. Carter, Plant Direct, 3.

Planar N-body central configurations with a homogeneous potentialMarshall HamptonCelestial Mechanics and Dynamical Astronomy, 131:20

Sorribes IC, Moore MNJ, Byrne HM, Jain HV, A biomechanical model of tumor-induced intracranial pressure and edema in brain tissue, Biophysical Journal, 116:1560–1574

H. Gao, L. Li, and Z. Liu, Stability of degenerate heat equation in non-cylindrical/cylindrical domain, Z. Angew.Math. Phys. 70 (2019), no. 4, Art. 120, 17 pp.

Z. Han, Z. Liu, Regularity and stability of coupled plate equations with indirect structural or Kelvin-Voigt damping, ESAIM Control Optim. Calc. Var, 25 (2019), Art 51, 14 pp.

H. Fernandez Sare, Z. Liu, and R.Racke, Stability of Thermoelastic Systems with inertial
terms, J. Differential Equations, 267 (2019), pp. 7085-7134.

S. Holmin, N. Jones, P. Kurlberg, C. McLeman, and K. Petersen. Missing class groups and class number statistics for imaginary quadratic fields, Experimental Mathematics, 28 (2019) no. 2, 233-25

Li, Y. and Qi, Y. (2019)  Adjusted empirical likelihood method for the tail Index of a heavy-tailed distribution.   Statistics and Probability Letters 152, 50-58

Wang, F., Peng, L., Qi, Y. and Xu, M. (2019) Maximum penalized likelihood estimation for the endpoint and exponent of a distribution.  Statistica Sinica  29, 203-224 https://doi.org/10.5705/ss.202016.0336

Qi, Y., Wang, F. and Zhang, L. (2019) Likelihood ratio test of independence of components for high-dimensional normal vectors. Annals of the Institute of Statistical Mathematics 71, 911-946  https://doi.org/10.1007/s10463-018-0666-9

Jiang, T. and Qi, Y. (2019).  Empirical distributions of eigenvalues of product ensembles. Journal of Theoretical Probability 32, 353 394.  https://doi.org/10.1007/s10959-017-0799-4

Hirschhorn, M. D. and Sellers, J. A., Parity Results for Partitions Wherein Each Part Appears an Odd Number of Times, Bulletin of the Australian Mathematical Society 99, no. 1 (2019), 51–55
Benjamin, A. T., Crouch, J., and Sellers, J. A., Unified Tiling Proofs of a Family of Fibonacci Identities, Fibonacci Quarterly 57, no. 1 (2019), 29–31 
Brietzke, E. H. M., da Silva, R., and Sellers, J. A., Congruences Related to an Eighth Order Mock Theta Function of Gordon and McIntosh, Journal of Mathematical Analysis and Applications 479, no. 1 (2019), 62–89


N. Bushek.  Dimensions of Group-Based Phylogenetic Mixtures, Bulletin of Mathematical Biology. 1-21.

B. Freyberg. d-Handicap graphs of even order. Bulletin of the Institute of Combinatorics and its Applications, 83:102-111, 2018.

B. Freyberg and M. Keranen. Orientable Zn-distance magic graphs via products. Australasian Journal of Combinatorics, 70(3):319-328, 2018.

D. Froncek with P. Kovar and T. Kovarova. Note on a conjecture of Marimuthu et al., J. Graph Labeling 4(1) (2018), 35–37.

D. Froncek  Full spectrum of regular incomplete 2-handicap tournaments of order n ≡ 0 (mod 16), J. Combin. Math. Combin. Comput. 106 (2018), 175–184.

D. Froncek You can’t always get what you want, Bull. ICA, 84 (2018), 98–108.

D. Froncek and A. Shepanik Regular handicap graphs of order n ≡ 0 mod 8, El. J. Graph Th. Applic, 6 (2) (2018), 208–218.

D. Froncek with J. McKeown, J. McKeown, M. McKeown. Z2nm-supermagic labeling of Cn \Box  Cm, Indonesian J. Combin., 2 (2) (2018), 57–71.

Joseph  A. Gallian, A dynamic survey of graph labeling, 21st edition, 32 page update of my survey in the Electronic Journal of Combinatorics}, (2018) 1-503 #DS6.

J. Greene, Lucas Sequences and traces of Matrix Products, The Fibonacci Quarterly, 56(3) (2018) 200-211.

Using Nectar-Related Traits to Enhance Crop-Pollinator Interactions, Marshall Hampton with Jarrad R. Prasifka, Rachel E. Mallinger, Zoe M. Portlas, Brent S. Hulke, Karen K. Fugate, Travis Paradis, and Clay J. Carter, 2018, Frontiers in Plant Science, 9:812.

Identification of transcripts potentially involved in neural tube closure using RNA sequencing, Marshall Hampton with Lexy M. Kindt, Alicia R. Coughlin, Tianna R. Perosino, Haley N. Ersfeld, and Jennifer O. Liang, 2018 Genesis: The Journal of Genetics and Development, 56.

Tail characteristics of Trypanosoma brucei mitochondrial transcripts are developmentally altered in a transcript-specific manner, Marshall Hampton with Vahid H. Gazestani, Aubie K. Shaw, Reza Salavati, and Sara L. Zimmer, 2018, International Journal for Parasitology, 48, 179-189.

B. Kubik. Lattice Point Visibility on Generalized Lines of Sight, with E. H. Goins, P. E. Harris, and a. Mbirika, American Mathematical Monthly Volume 125 Issue 7 (2018)

Latterell, C. M., & Wilson, J. L. Measuring attitudes about mathematics: Using a semantic differential. International Journal for Research in Mathematics Education, 8(1), 2-22.  

Yanqing Yi, Xuan Li (2018). Response adaptive designs with asymptotic optimality. Canadian Journal of Statistics, 46:458–469.

David Glesener, Gwendolyn Anderson, Xuan Li, Jacob Brown, James Amell, Ronald Regal, Donald Ferguson (2018). Psychotropic Medication Patterns for American Indian Children in Foster Care. Journal of child and adolescent psychopharmacology, 28(3):225-231.

Sarah Beehler, Sy Han Steven Chiou, Brandi Balmer, Xuan Li (2018). Intrarural variation in mental health status and help-seeking of veterans in the upper midwest. Journal of Rural Mental Health,42(3-4),161-173.

Andrew M Hogan, Viola C Scoffone, Vadim Makarov, April S Gislason, Haben Tesfu, Maria S Stietz, Ann Karen C Brassinga, Michael Domaratzki, Xuan Li, Alberto Azzalin, Marco Biggiogera, Olga Riabova, Natalia Monakhova, Laurent R Chiarelli, Giovanna Riccardi, Silvia Buroni, Silvia T Cardona (2018). Competitive fitness of essential gene knockdowns reveals a broad-spectrum antibacterial inhibitor of the cell division protein FtsZ. Antimicrobial agents and chemotherapy, 62 (12).

Z. Liu and R. Quintanilla, Time Decay in Dual-phase-lag Thermoelasticity: Critical Case,  Comm. Pure Appl. Analysis, Vol. 17, No. 1 (2018), 177-190.

Z. Liu and Q. Zhang,  Stability and Regularity of Solution to the Timoshenko Beam Equation with Local Kelvin-Voigt Damping, (with Q. Zhang), SIAM J. Control Optim, Vol. 56, No. 6 (2018), 3919-3947.

Y. Li, Z. Liu, and Y. Wang,  Weak Stability of a laminated beam,  Math. Control Related Fields, Volume 8, Number 3& 4, (2018), 789-808.

Pan, J. and Shang, J. (2018). A simultaneous variable selection methodology for linear mixed models. Journal of Statistical Computation and Simulation, 88(17), 3323-3337.

Pan, J. and Shang, J. (2018). Adaptive LASSO for linear mixed model selection via profile log-likelihood. Communications in Statistics – Theory and Methods ,47(8), 1882-1900. 

Chang, S. and Qi, Y. (2018) On Schott’s and Mao's test statistics for independence of normal random vectors. Statistics and Probability Letters 140, 132-141.

Qi, Y. (2018). Jackknife empirical likelihood methods.  Biostat Biometrics Open Acc J. 7(2), 555708.  DOI:10.19080/BBOAJ.2018.07.555708

Chang, S., Li, D., Qi, Y. and Rosalsky A. (2018) A method for estimating the power of moments. Journal of Inequalities and Applications.  2018:54.

Chang, S., Li, D. and Qi, Y. (2018).  Limiting distributions of spectral radii for product of matrices from the spherical ensemble.  Journal of Mathematical Analysis and Applications 461, 1165-1176.

Gui, W. and Qi, Y. (2018). Spectral radii of truncated circular unitary matrices.  Journal of Mathematical Analysis and Applications 458, 536-554.


B. Freyberg and M. Keranen. Orientable Zn-distance magic labeling of the Cartesian product of many cycles. Electronic Journal of Graph Theory and Applications, 5(2):304-311, 2017.

B. Freyberg and M. Keranen. Orientable Zn-distance magic labeling of the Cartesian product of two cycles. Australasian Journal of Combinatorics, 69(2):222-235, 2017.

D. Froncek. (with S. Cichacz and I. Singgih), Vertex magic total labelings of 2-regular graphs, Disc. Math., 340 (2017), 3117–3124.

D. Froncek. Decomposition of certain complete bipartite graphs into prisms, Discussiones Mathematicae—Graph Theory, 37 (2017), 55­–62.

D. Froncek. Magic rectangle sets of odd order, Australas. J. Combin., 67(2) 2017, 345–351.

D. Froncek. A note on incomplete regular tournaments with handicap two of order n ≡ 8(mod 16), Opuscula Mathematica, 37(4) 2017, 557–566.

D. Froncek. (with P. Kovar, T. Kovarova, B. Krajc, M. Kravcenko, A. Shepanik, A. Silber) On regular handicap graphs of even order, Electronic Notes in Discrete Mathematics 60 (2017), 69–76.

D. Froncek. (with A. Shepanik, P. Kovar, M. Kravcenko, A. Silber, T. Kovarova, B. Krajc) On regular handicap graphs of even order (survey paper), in: 9th International Workshop on Graph Labelings (IWOGL 2016), Electron. Notes Discrete Math. 60, Elsevier Sci. B. V., Amsterdam, 2017, 69–76.

J. Greene, J Schmieg, Continued fractions with non-integer numerators, Journal of Integer Sequences 20 (2017) Article 17.1.2

R. Evans, J. Greene, Some mixed character sum identities of Katz II, Research in Number Theory 3 (2017)

R. Evans, J. Greene, A Quadratic Hypergeometric 2F1 Transformation over Finite Fields, Proceedings of the AMS 145 (2017) 1071-1076

Wilson, J. L., & Latterell, C. M. (2017). Elementary education majors’ stories about math: An analysis of students’ mathematics autobiographies. Issues and Ideas in Education, 5(1), 25-37.

Latterell, C. M., & Wilson, J. L. (2017). Metaphors and mathematical identity: Math is like a tornado in Kansas. Journal of Humanistic Mathematics, 7(1), 46-61.

April S Gislason, Matthew Choy, Ruhi AM Bloodworth, Wubin Qu, Maria S Stietz, Xuan Li, Chenggang Zhang, Silvia T Cardona (2017). Competitive Growth Enhances Conditional Growth Mutant Sensitivity to Antibiotics and Exposes a Two-Component System as an Emerging Antibacterial Target in Burkholderia cenocepaciaAntimicrobial Agents and Chemotherapy, 61(1).

Z. Liu and Q. Zhang, Eventual differentiability of wave equation with local Kelvin-Voigt damping, ESAIM Control Optim. Cala. Var, Volume 23, No. 2 (2017), pp. 443-454.

Z. Liu and R. Quintanilla, and Y. Wang, On the time decay for the phase-lag heat equation with spatial dependent lags,  J. Math. Anal. Appl. 455 No. 1, (2017), pp. 422-438.

Chang, S. and Qi, Y.  (2017) Empirical distribution of scaled eigenvalues for product of matrices from the spherical ensemble. Statistics and Probability Letters 128,  8-13.  

Jiang, T. and Qi, Y. (2017) Spectral radii of large non-Hermitian random matrices.  Journal of Theoretical Probability 30, 326-364.


D. Froncek. Alpha labelings of full hexagonal caterpillars, AKCE Int. J. Graphs. Comb., 13 (2016), 85–89.

D. Froncek. (with S. Cichacz, E. Krop, C. Raridan) Distance magic Cartesian products of graphs, Discussiones Mathematicae—Graph Theory, 36 (2) (2016), 299–308.

D. Froncek. (with A. Shepanik) Regular handicap tournaments of high degree, J. Algebra Comb. Discrete Struct. Appl., 3(3), 2016, 159–164.

D. Froncek. (with S. Cichacz, K. Sugeng, Sanming Zhou) Group distance magic and antimagic graphs (full paper), Acta Mathematica Sinica, 32(10) (2016), 1159–1176.

D. Froncek. Regular incomplete tournaments with handicap two, Congressus Numerantium, 227 (2016), 277–285.

Latterell, C. M., & Wilson, J. L. (2016). Math is like a lion hunting a sleeping gazelle: Preservice elementary teachers’ metaphors of mathematics. European Journal of Science and Mathematics Education, 4(3), 283-292.

Latterell, C. M., & Wilson, J. L. (2016). Stories about math: An analysis of students’ mathematical autobiographies. International Journal of Research in Education and Science (IJFES), 2(2), 279-285.

Xiaodong Wang, Jungang Hu, Guang Cao, Xu Zhu, Yong Cui, Xinqiang Ji, Xuan Li, Renjie Yang, Hui Chen, Haifeng Xu, Peng Liu, Jian Li, Jie Li, Chunyi Hao, Baocai Xing, Lin Shen (2016). Phase II study of hepatic arterial infusion chemotherapy with oxaliplatin and 5-fluorouracil for advanced perihilar cholangiocarcinoma. Radiology, 283(2):580-589.

A. Magana, Z. Liu, and R. Quintanilla, On the time decay of solutions for non-simple elasticity with voids,, ZAMM, Volume 96, No. 7 (2016), pp. 857-873.

K. Liu, Z. Liu, and Q. Zhang, Stability of a string with local Kelvin-Voigt damping and nonsmooth coefficient at interface,  SIAM J. Control Optim, Vol. 54, No. 4 (2016), pp.1859-1871. 

Nien C-H, Peckham B B and McGehee R P, `Classification of critical sets and their images for quadratic maps of the plane,'' arXiv.org:arXiv:1507.02732 [math.DS] 2015, and Journal of Difference Equations and Applications, 2016.

Li, D., Qi, Y. and Rosalsky, A. (2016) A characterization of a new type of strong law of large numbers.   Transactions of the American Mathematics Society 368,  539-561.


D. Froncek, (with S. Cichacz, K. Sugeng, Sanming Zhou) Group distance magic and antimagic graphs, Electronic Notes in Discrete Mathematics 48 (2015) 41–48.

D. Froncek, (with S. Cichacz) Distance magic circulant graphs, Discrete Math, 339 (2015), 84–94.

J. A. Gallian and D. Stewart, Properly  even harmonious labelings of disconnected graphs,  AKCE J. Graphs Combin.,12, Issues 2–3, (2015) 193-203

J. A. Gallian and D. Stewart, Even harmonious labelings of disjoint graphs with a small component,  AKCE J. Graphs Combin.,12 Issues 2–3, (2015) 204-215.

J. A. Gallian and  D. Stewart, Even harmonious labelings of disjoint unions with even sequential graphs,  J. Graph Labeling, 1(1) (2015) 1-10.

J. A. Gallian The Morgan Prize for Outstanding Research by an Undergraduate Turns Twenty, Notices of the American Mathematical Society, Vol. 62 #4, (2015) 395-397.

J. A. Gallian, A history of undergraduate research in mathematics,  A Century of Advancing Mathematics, Stephen F. Kennedy, Editor, Mathematical Association of America, 2015, 263-274.

Vermillion, K., Anderson, K., Hampton, M., Andrews, M. (2015). Gene expression changes controlling distinct adaptations in the heart and skeletal muscle of a hibernating mammal. Physiological Genomics.

Schwartz, C., Hampton, M., Andrews, M. (2015). Hypothalamicgene expression underlying prehibernation satiety, Genes, Brain, and Behavior.

Hao, Xuemiao and Li, Xuan (2015). Pricing credit default swaps with a random recovery rate by a double inverse Fourier transform. Insurance Math. Econom. 56: 103-110.

Xuemiao Hao and Xuan Li (2015). Pricing Credit Default Swaps with a Random Recovery Rate by a Double Inverse Fourier Transform. Insurance: Mathematics and Economics. 56:103-110.

G. Chen, R. J. Fries, J. I. Kapusta, and Y. Li, Early time dynamics of gluon fields in high energy nuclear collisions, Physical Review C, 92, 064912 (2015).

Z. Liu, A Note on the Polynomial Stability of a Weakly Damping Elastic Abstract System, (with Q. Zhang), ZAMP, 66, No.4 (2015), pp. 1799-1804.

Z. Liu, Regularity of an abstract system of coupled hyperbolic and parabolic equations, (with J.Hao and J. Yong), JDE, 259 (2015), no. 9, 4763-4798.

Jiang, T.  and Qi, Y. (2015)   Likelihood ratio tests for high-dimensional normal distributions.  Scandinavian Journal of Statistics  42, 988-1009.

Li, D., Qi, Y. and Rosalsky, A. (2015) An extension of a theorem of Hechner and Heinkel.  Asymptotic Laws and Methods in Stochastics:  A Volume in Honour of Miklos Csorgo on the occasion on his 80th birthday.  Eds: Don Dawson, Rafal Kulik, Mohamedou Ould Haye, Barbara Szyszkowicz and Yiqiang Zhao.  Springer.  Fields Institute Communications 76, 129-147.


S. Cichacz, S. Dib, D. Froncek, Decomposition of complete graphs into (0,2) prisms, Czechoslovak Mathematical Journal 64 No. 1 (2014) 37-43.

D. Froncek, Hlavacek, A., Rosenberg, S.J. Published (2014). Edge reconstruction and the swapping number of a graph. Australasian Journal of Combinatorics, 58(1), 1-15.

D. Froncek, Kingston, O., Vezina, K. Published (2014). (Submitted abd Accepted 2014) Alpha labelings of straight simple polynomial caterpillars. Congressus Numerantium, 222, 57-64.

J. Gallian and L.A. Schoenhard, Even harmonious graphs, AKCE Int. J. Graphs Comb., 11, No. 1 (2014) 27-49. [refereed journal]

J. Greene "Traces of Matrix Products," Electronic Jounal of Linear Algebra 27 (2014), 716-734. (Journal), This paper was also accepted in 2014.

Joyati Debnath and Joseph A. Gallian, The MAA undergraduate poster session 1991-2013, Involve, a Journal of Mathematics 7-3 (2014), 295-302. DOI 10.2140/involve.2014.7.295 [refereed journal]

Hampton, M. (2014), Cosines and Cayley, Triangles and Tetrahedra. American Mathematical Monthly, 121 (10), 937-941.

Latterell, C.M., Wilson, J.L. (2014). What do people think mathematics is and why does it matter? ETC: A Review of General Semantics, 70(4), 387-394.

Wilson, J.L., Latterell, C.M. (2014). What does non-mathematics intensive major think mathematics is? MountainRise, 8(2). http://moutainrise.wcu.edu/index.php/MtnRise/index

Z. Liu and Q. Zhang, Stabilization of a Joint-leg-beam System with Boundary Damping, Journal of Math. Anal.Appl., 420 (2014), No. 2, 1455-1467. [journal]

Peng, L., Qi, Y., and Wang, R. (2014) Empirical likelihood test for high-demensional linear models. Statistics and Probability Letters 86, 85-90.

Peng, L., Qi. Y. and Wang, F. (2014) Test for a mean vector fixed or divergent dimension. Statistical Science 29, 113 - 127.


D. Froncek (with S. Cichacz and P. Kovar) Decomposition of complete bipartite graphs into generalized prisms, European J. of Combinatorics, 34 (2013), 104–110.

D. Froncek Group distance magic labeling of Ck ?Cm, Australasian J. of Combinatorics, 55 (2013), 167–174.

D. Froncek Handicap distance antimagic graphs and incomplete tournaments, AKCE Int. J. Graphs Comb., 10, No. 2 (2013), 119–­­127.

D. Froncek (with G.A. Saputri and K.A. Sugeng) The odd harmonious labeling of dumbbell and generalised prism graphs, AKCE Int. J. Graphs Comb., 10, No. 2 (2013), 221–228.

D. Froncek (with S. Cichacz and M. Meszka) Decomposition of complete graphs into small generalized prisms, AKCE International Journal of Graphs and Combinatorics 10 No. 3 (2013), 285–293.

J. A. Gallian, A dynamic survey of graph labeling, Electronic Journal of Combinatorics, (2013) DS6, 318 pages.

Hao, Xuemiao; Li, Xuan; Shimizu, Yasutaka Finite-time survival probability and credit default swaps pricing under geometric Lévy markets. Insurance Math. Econom. 53 (2013), no. 1, 14–23.

Li, Xuan; Wang, Xikui Response adaptive designs with misclassified responses. Comm. Statist. Theory Methods 42 (2013), no. 11, 2071–2083.

J. Hao and Liu, Z., Stability of an abstract system of coupled hyperbolic and parabolic equations, Z. Angew. Math. Phys. 64 (2013), 1145—1159

Book Chapters


Peng, L. and Qi, Y. (2017), Heavy-Tailed Data: Applications in Insurance and Finance. Academic Press.



J. A. Gallian, For All Practical Purposes, W. H. Freeman, New York, New York, Tenth edition, 2016, 2 chapters 67 pages.


J. A. Gallian and L. A. Schoenhard, Even harmonious graphs, AKCE International Journal of Graphs and Combinatorics, 11, No. 1 (2014) 27-49.

Wilson, J. L., & Latterell, C. M. (2014). What does the non-mathematics intensive major think mathematics is? MountainRise, 8(2). Available online http://mountainrise.wcu.edu/index.php/MtnRise/index

Technical Reports


E.J. Zlonis, A. Grinde, E. Condon, H. Panci, Y.Li, R. R. Regal, and G.J. Niemi, "Summary of breeding bird trends in the Chippewa and Superior national forests of Minnesota (1995-2-14)", NRRI technical report NRRI/TR - 2014/44, University of Minnesota Duluth (2014)