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# Faculty Publications

## Mathematics & Statistics Department

### Refereed Journal Papers

### 2018

**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.* Z*_{2nm}*-supermagic labeling of C _{n }\Box C_{m}, *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.

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. *

**Qi, Y.**, Wang, F. and Zhang, L. (2018) Likelihood ratio test of independence of components for high-dimensional normal vectors. Annals of the Institute of Statistical Mathematics. https://doi.org/10.1007/s10463-018-0666-9

Jiang, T. and **Qi, Y.** (2018). Empirical distributions of eigenvalues of product ensembles. Journal of Theoretical Probability. https://doi.org/10.1007/s10959-017-0799-4

Wang, F., Peng, L., **Qi, Y.** and Xu, M. (2018) Maximum penalized likelihood estimation for the endpoint and exponent of a distribution. Statistica Sinica https://doi.org/10.5705/ss.202016.0336

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.

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.

### 2017

**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.

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 cenocepacia*. *Antimicrobial 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.

### 2016

**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.

### 2015

**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.

### 2014

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.

### 2013

**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

### 2017

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

### 2016

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

### 2014

**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

### 2014

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)