Undergraduate Research Opportunities | Graduate Research Opportunities |

#### Recent Faculty Publications

### Refereed Journal Papers

**D. Froncek**, Submitted Decompositin of certain complete bipartite graphs into prisms. *Discussiones Mathematicae--Graph Theory.*

**D.Froncek**, Submitted Alpha labelings full of hexagonal caterpillars. *AKCE Int. J. Graphs Comb.*

**G.Fei**, "On reproduction number and infectious disease modeling," Continue on this topic.

**G.Fei**, "Minimal period problem and Rabinowitz's Conjecture," Continue on this topic.

**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.

Bjonnes, E.E., V.L. Hansen, **B. James**, J.B. Swenson, Equilibrium resurfacing of Venus: Results from new Monte Carlo modeling and implications for Venus surface histories*. Icarus* 217(2012), 451-461.

**S.S. Chabysheva**, J.R. Hiller. Nonperturbative Pauli-Villars regularization of vacuum polarization in light-front QED. Physical Review D 82 (2010) 034004

**S.S. Chabysheva,** J.R. Hiller. A nonperturbative calculation of the electron's magnetic moment with truncation extended to two photons. Physical Review D 81 (2010) 074030

**S.S. Chabysheva**, J.R. Hiller. On the nonperturbative solution of Pauli--Villars-regulated light-front QED: A comparison of the sector-dependent and standard parameterizations. Annals of Physics 325 (2010) 2435-2450

**S.S. Chabysheva**, J.R. Hiller. A First nonperturbative calculation in light-front QED for an arbitrary covariant gauge. Physical Review D 84 (2011) 034001

**S.S. Chabysheva**, J.R. Hiller. A light-front coupled-cluster method for the nonperturbative solution of quantum field theories. Physics Letters B 711 (2012) 417-422

J.R. Hiller, **S.S. Chabysheva**. A light-front coupled cluster method. Few Body Systems 52 (2012) 315-321

**S.S. Chabysheva**, J.R. Hiller. Application of a light-front coupled cluster method. Few Body Sysems 52 (2012) 323-329

**D. Froncek**, P. Kovar, T. Kovarova, M. Kubesa: "Factorizations of complete graphs into caterpillars of diameter 5:, *Discrete Math*. 3010 (2010) 537-556

**D. Froncek**, P. Kovar, M. Kubesa: "Decomposition of complete graphs into ", 22 pages, *Discrete Math*. 310 (2010) 1003-1115.

**D. Froncek**: "Scheduling a Tournament", chapter in "Mathematics and Sports" (Joseph A. Gallian, Ed.), Dolciani Mathematical Expositions #43, *Mathematical association of America*, 2010

**D. Froncek**, P. Kovar, M. Kubesa: "Factorizations of complete graphs into trees with at most four non-leave vertices", *Graphs and Combinatorics*, 27 (2011), 621-646.

**D. Froncek**, P. Kovar, T. Kovarova: "Constructing distance magic graphs from regular graphs", *J. Combin. Math. Combin. Comput.* 78(2011), 349-354.

**D. Froncek**, M. Kubesa, "Rectangular table negotiation problem revisited," *Cent. Eur. J. Math*. 9 (2011), no. 5m 1114-1120.

**D. Froncek**, L. Tollefson: "Decompositions of complete graphs into kayak paddles with two odd-cycled", *Congressus Numerantium*, 207 (2011), 161-169.

S. Cichacz, **D. Froncek**: "Bipartite graphs decomposable into closed trails", *J. Combin. Math. Combin. Comput*. 74(2010), 207-216.

**D. Froncek** (with P. Kovar, T. Kovarova, and M. Kubesa) *Factorizations of complete graphs into caterpillars of diameter *5, Discr. Math. **310 **(2010), 537–556.

**D. Froncek** (with P. Kovar, M. Kubesa)* Decomposition of complete graphs into C _{m}*[2]

*,*Discr. Math.,

**310**(2010) 1003–1115.

**D. Froncek*** Decomposition of complete graphs into small rosy graphs, *Opuscula Mathematica, **30/3** (2010),277–280.

**D. Froncek** (with S. Cichacz)* Bipartite graphs decomposable into closed trails, *J. Combin. Math. Combin. Comput. **74** (2010), 207–216.

**D. Froncek** (with M. Meszka) *Factorizations of complete graphs **into long double brooms*, Congressus Numerantium, **206** (2010), 151–155.

**D. Froncek** (with P. Kovar and M. Kubesa) *Factorizations of complete graphs **into trees with at most four non-leave vertices*, Graphs and Combinatorics, **27 **(2011), 621–646.

**D. Froncek** (with P. Kovar and T. Kovarova) *Constructing distance magic graphs from regular graphs, *J. Combin. Math. Combin. Comput*. ***78 **(2011), 349–354.

**D. Froncek** (with L. Tollefson) *Decompositions of complete graphs into kayak paddles with two odd cycles*, Congressus Numerantium, **207 **(2011), 161–169.

**D. Froncek** (with S. Arumugam and N. Kamatchi) *Distance Magic Graphs—A Survey*, Journal of the Indonesian Mathematical Society, Special Edition 2011, 1–9.

**D. Froncek** (with L. Tollefson) *Decompositions of complete graphs into kayak paddles*, Journal of the Indonesian Mathematical Society, Special Edition 2011, 39–44.

**D. Froncek** (with P. Kovar and T. Kovarova) *A note on 4-regular distance magic graphs*, Australasian J. of Combinatorics, **54 **(2012), 127–132.

**D. Froncek** (with S. Cichacz and M. Meszka)* Decomposition of complete graphs into small bipartite prisms, *Congressus Numerantium, **211 **(2012), 133–140.

**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 C _{k} ?C_{m}*, 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.

**D. Froncek** (with A. Hlavacek, and S. Rosenberg) *Edge reconstruction and the swapping number of a graph,* Australasian J. of Combinatorics , accepted 2012.*Incomplete tournaments and handicap distance antimagic graphs*, 7 pages, Congressus Numerantium, accepted 2012

**D. Froncek** (with S. Cichacz and S. Dib) *Decomposition of complete graphs into *(0, 2)–* prisms*, 7 pages, Czechoslovak Math. J.*, *accepted

**D. Froncek** (with S. Cichacz, K. Sugeng, Sanming Zhou) *Group distance magic and antimagic graphs*, 17 pages, submitted

### Book Chapters

**D. Froncek*** Scheduling a Tournament*, chapter in "Mathematics and Sports" (**Joseph A. Gallian**, Ed.), Dolciani Mathematical Expositions #43, Mathematical Association of America, 2010

**J. A. Gallian**, Living with the labeling disease for 25
years, Journal of Indonesian Mathematical Society, Special Edition, Year
2011 45-58.

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

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

**Hampton, M**., Nelson, B.T., and Andrews, M.T., "Circulation and Metabolic Rates in a Natural Hibernator: an integrative physiological model", published in the *American Journal of Physiology, Regulatory, Integrative, and Comparative Physiology*, 299 (2010), 14-1488.

**Hampton, M**., "Finiteness of kite relative equilibria in the five-vortex and five-body problems", published in *Qualitative Theory of Dynamical Systems* 8(2)(2010).

**Hampton, M**., Wayne W. Xu, Brian W. Kram, Emily M. Chambers, Jerad S. Ehrnriter, Johnathan H. Gralewski, Teresa Joyal, and Clay J. Carter, "Identification of differential gene expression in Brassica rapa nectarines through expressed sequence tag analysis", published in *PloS ONE*, 5(1)(2010): e8782. Doi:10.1371/journal.pone.0008782.

**Hampton, M**., and Jensen, A., "Finiteness of spatial central configurations in the five-body problem", published in *Celestial Mechanics and Dynamical Astronomy*.

**Hampton, M**., Melvin, R.G., Kendall, A.H., Kirkpatrick, B.R., Peterson, N., and Andrews, M.T., "Deep Sequencing the Transcriptome Reveals Seasonal Adaptive Mechanisms in a Hibernating Mammal", submitted and published in *PLoS ONE*.

**Latterell, C.M**. (2011). Should liberal arts math courses be taught through mathematics inquiry? *Liberal Education*, 97(3/4), 60-64

**Latterell,
C. M.** (in press). What do people think mathematics is and why does it matter? *ETC: A Review of General Semantics. *

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/

**Latterell,
C. M.**, & Wilson, J. L. (2012). Students' perceptions of what mathematicians
do. *The Mathematics Educator, 13*(2),
73-84

**Latterell,
C. M.** (2012). What is mathematics? *Mathematics
in School, 41*(2), 34-35

**Latterell,
C. M.** (2011). Should liberal arts math
courses be taught through mathematics inquiry? *Liberal Education, 97*(3/4), 60-64.

**Lenz, K.E**., Host, G.E., Roskoski, K., Noormets, A., Sober, A., Karnosky, D.F., 2010. Analysis of a Farquhar-von Caemmerer-Berry Leaf-level photosynthetic rate model for *Populus tremuloids* in the context of modeling and measurement limitations. Environmental Pollution 158: 1015=1022.

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.

**Li, Xuan**; Wang, Xikui Variance-penalized response-adaptive randomization with mismeasurement. *J. Statist. Plann. Inference* 142 (2012), no. 7, 2128–2135.

**Liu, Z**., Quintanilla, R. Analyticity of thermoelastic plate equation of type III, *IMA J. of Applied Mathematics*, 75(2010), No.4, 637-646.

**Liu, Z**., **Trogdon, S**. Surface heating and three-dimensional motion of a thermoelastic beam, *MCM*, 51(2010), no. 9-10, 1051-1063.

**Liu, Z**., Quintanilla, R. Energy decay rate of a mixed type II and type III thermoelastic system, *Discrete Contin. Dyn. Syst. Ser. B*, 14(2010), no. 4, 1433-1444.

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

Lin Laurence, **Peckham B B**, **Stech H W** and Pastor J, "Enrichment in a stoichiometric model of two producers and one consumer," *Journal of Biological Dynamics*, Epub January 2011.

L.L. Lin, **B. Peckham**, **H.Stech** and J. Pastor, A Stoichiometric Model of Two Producers and One Consumer ,*Journal of Biological Dynamics*, Volume 5, 2011, 1-20.

Li, D., **Qi, Y**. and Rosalsky, A. (2010) On the set of limit points of normed sums of geometrically weighted i.i.d. bounded random variables. Stochastic Analysis and Applications 28, 86-102.

**Qi, Y**. (2010) On the index of a heavy tailed distribution. Annals of the Institute of Statistical Mathematics 62, 277-298.

Peng, L. and **Qi, Y**. (2010) Smoothed jackknife empirical likelihood method for tail copulas. Test 19, 514-536.

Li, D., **Qi, Y**. and Rosalsky, A. (2010) On the set of limit points for normed sums of geometrically weighted i.i.d. unbounded random variables. Stochastic Analysis and Applications 28, 862-883.

Gong, Y., Peng, L. and **Qi, Y**. (2010) Smoothes jackknife empirical likelihood method for ROC curve. Journal of Multivariate Analysis 101, 1520-1531

Li, D., **Qi, Y**. and Rosalsky, A. (2011) A refinement of the Kolmogorav-Marcinkiewicz-Zygmund strong law of large numbers. *Journal of Theoretical Probability* 24, 1130-1156.

Li, D., Peng, L. and **Qi, Y**. (2011) Empirical likelihood confidence intervals for the endpoint of a distribution function. Test 20, 353-366.

Ha, H-T, Li, D. and **Qi, Y**. (2011) A generalization of the Strassen converse. *Journal of Mathematical Analysis and Applications *374, 729-735.

Li, D., **Qi, Y**. and Rosalsky, A. (2011) On the set of limit points of normed sums of geometrically weighted i.i.d. unbounded random variables. II *Stochastic Analysis and Applications* 29, 486-502.

Li, M., Peng, L. and **Qi, Y**. (2011) Reduce computation in profile empirical likelihood method. *The Canadian Journal of Statistics* 38, 370-384.

Zhang, Z., **Qi, Y**. and Ma, X. (2011) Asymptotic independence of correlation coefficients with application to testing hypothesis of independence. *Electronic Journal of Statistics* 5, 342-372.

Blake, Martinovi?, Gray, Wilson, **Regal**, Villeneuve, Ankley. Characterization of the Androgen-Sensitive MDA-kb2 Cell Line for Assessing Comples Environmental Mixtures. *Environmental Toxicology and Chemisrty,* 29 (2010), 1367-1376.

T. Liebich, S.D. McCormick, D. Kircheis, K. Johnson, **R. Regal** and T. Hrabik. Water chemistry and its effects in the physiology and survival of Atlantic salmon Salmo Salar Smolts. *Journal of Fish Biology* (2011) 79, 502-519.

Kundel DW, Stromquist E, Greene AL, Zhdankin O, **Regal RR**, and Rose-Hellekant TA. Molecular characterizations of Nop16 in murine mammory tumors with varying levels of c-Myc.* Transgenic Research*, PMID 2186348 (Epub 2011).

**Sharp, A.M.**, "Enhancing Student Participation and Attitudes in a Large-Lecture Calculus Course", 2011, MAA Notes, 79 pp 121-126

**Sharp, A.M.**, J. Pastor, "Stable limit cycles and the paradox of enrichment in a model of chronic wasting disease", 2011, Ecological Applications, 21(4) pp 1024-1030

### Technical Reports

Chen, A., **B.R. James and K.L. James**, "regression on a Cylinder". [Technical Report at Berkley(2010)]

Chen, A., **B.R. James and K.L. James**, "Measuring Error in the Estimate of a Minimum". [Technical Report at Berkley(2010)]

Gamst, A., **B.R. James and K.L. James**, "Approximating Cache-Fault Probabilities". [Technical Report at Berkley(2010)]

Chen, A., **B.R. James and K.L. James**, and Y. Ritov, "Tail area in a high-dimensional Gaussian mixture". [Technical Report at Berkley(2011)]

Chen, A., **B.R. James and K.L. James**, and Y. Ritov, "Electoral methods for many candidates". [Technical Report at Berkley(2011)]

Chen, A., A. Gamst, **B.R. James and K.L. James**, and Y. Ritov, "Assessing distributional similarity". [Technical Report at Berkley(2011)]

**K. Lenz**, "Students' Success in 1000-level UMD Mathematics Courses Fall'06 - Spring'10". [Technical Report at UMD (2011)]