Faculty Publications

Mathematics & Statistics Department

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Refereed Journal Papers


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

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)


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.

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.


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.

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.


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.

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.

Snyder, K. L., Kline, J. E., Huang, H. J., & Ferris, D. P. (2015). Independent Component Analysis of Gait-Related  Movement Artifact Recorded using EEG Electrodes during Treadmill Walking. Frontiers in human neuroscience, 9.

Kline, J. E., Huang, H. J., Snyder, K. L., & Ferris, D. P. (2015). Isolating gait-related movement artifacts in electroencephalography during human walking.Journal of neural engineering, 12(4), 046022.


S. Cichacz, Note on a group distance magic complete bipartite graphs, Central European Journal of Mathematics 12(3) (2014) 529-533.

S. Cichacz, Note on group distance magic graphs G[C4], Graphs and Combinatorics 30(3) (2014) 565-571.

S. Cichacz, Group distance magic graphs GxCn, Discrete Applied Mathematics 177(20) (2014) 80-87

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


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)