Department of Mathematical Sciences

Research Highlights

Publications

Hammo, B., Sleit' A., Baarah· A., & AbuSalem, H. A. (2013). Computational Approach for Identifying Quranic Themes, accepted to be published in the International Journal of Computer Processing of Oriental Languages (IJCPOL)

T. Chen, J. Ma, & Z. Deng. (2013). The attributes of color represented by a spherical model, Journal of Electronic imaging, 22 (4), 043032 ; doi: 10.1117/1. JEl.22.4.043032

T. Chen, D. Edwards, & J. Ma. (2013). Binary search tree with vine, Natural Science Journal of Xiangtan University, Vol. 35, No. 3, pages 106-113

T. Chen, & R. Koo. (2013). Two-term Egyptian Fractions. Notes on Number Theory and discrete Mathematics, Vol. 19, No. 2, pages 15-25.

Z. Zhou, N. sang, L. wan, & T. Chen. (2013). statistic-based image edge detection about gray system theory, Journal of Systems Engineering and Electronics, Vol. 35, No. 5, pp. 1110-1114.

Fadimba, K. (2014). Linear Backward Euler Scheme for a class of degenerate advection-diffusion equations: a mathematical analysis of the convergence in and” in Analysis and Applications, Vol. 12, No. 3, pps. 227-249.

Li, R. (2012) An Inequality on Laplacian Eigenvalues of Connected Graphs, Ars Combinatoria 105 (2012), 361-368.

Li, R. (2012) Egienvalues, Laplacian Eigenvalues and Some Hamiltonian Properties of Graphs,Utilitas Mathematica 88(2012), 247-257.

Li, R. (2013) Some Inequalities on the eigenvalues and spread associated with a graph, Utilitas Mathematica 92, 341-350

Li, R. (2013) Energy and the first Zagreb index conditions for some stable properties of graphs, Journal of Discrete mathematical sciences & Cryptography 16, 307-312

Li, R. (2013) Lower Bounds for the Kirchhoff Index, MATCH Communications in Mathematical and in Computer Chemistry 70 (2013), 163-174.

Li, R. (2014) Spectral Conditions for some stable properties of graphs, Journal of Combinatorial Mathematics and Combinatorial Computing 88, 199-205.

Li, R. (2014) Laplacian spectral radius and some Hamiltonian properties of graphs, Applied Mathematics E-Notes 14(2014), 216-220.

Li, R. (2015) On $\alpha$ - incidence energy and $\alpha$ - distance energy of a graphArs Combinatoria 121 (2015), 373-384.

Li, R. Spectral Inequalities on Independence number, Chromatic number, and Total Chromatic number of a graph, Journal of Discrete mathematical sciences & Cryptography 18 (2015) 41-46.

Li, R. On the upper bound for the number of spanning trees of a connected graph, Journal of Combinatorial Mathematics and Combinatorial Computing

Li, R. New upper bounds of the first Zagreb index of a graph, Advances and Applications in Mathematical Sciences 13 (2014) 111-121.

Li, R. Spectral results on some Hamiltonian properties of graphs, Romanian Journal of Mathematics and Computer Science 4(2014), 197-202.

Li, R. Two results on the Hamiltonicity of L1-graphs, Ars Combinatoria 115 (2014), 305-314.

Li, R. Harary Index and some Hamiltonian properties of graphs, AKCE International Journal of Graphs and Combinatorics 12 (2015) 64-69.

Z. Li, Y. Cao, & J. Lei, The Symplectic Monoid, Communications in Algebra, in press.

Presentations

T. Chen, & S. Cong, Product of sum of squares and sum of reciprocal squares of consecutive Fibonacci numbers, 2014 MAA-SA section Meeting, Tennessee tech University, TN, March 15, 2014

Fadimba, K. A Linear Backward Euler Scheme for the Saturation Equation: Error Estimates in  and  in the SAIM-SEAS meeting at Florida Institute of Technology, in March 2014.

Li, R. The spectral lower bounds for the circumference of graphs, presented in the 26th Cumberland Conference on Combinatorics, Graph theory & computing held at Middle Tennessee State University, May 24- May 26, 2013

Li, Z. Introduction to algebraic monoids, in the 13th National Conference on Algebra in China, Jinlin University, Changchun, Jilin, China, August 5-9, 2013

Li, Z. Algebraic structures associated with symplectic root systems, in the 13th National Conference on Lie Algebra in China, Sichuan University, Chengdu, Sichuan, China, July 22-26, 2013

Reid, T. ITQ PRIME TIME presentation. August, 13, 2013.

Reid, T. ITQ PRIME TIME presentation. November 15, 2013.

Reid, T. ITQ PRIME TIME presentation. March 13, 2014.

Reid, T. Aiken County STEM Symposium. January 17, 2014. Aiken Technical College.