About Research
Interest Anything with Algebra; Algebra, Combinatorics, Algebraic Combinatorics, Combinatorial Algebra, Graph Theory, Cryptography, Game Theory, Prime Numbers, Puzzles, Graph Pebbling, Universal Algebra, Music, Human and Alien being, etc.
Paper � (With J.R.Cho, my M.S. advisor) Bounds on the Size of Orbits of the Permutation Groups with bounded movement, M.S. thesis.� (With J.D.H. Smith, my Ph.D. advisor) Orbit Decomposition in the Distinct and Birestricted Power of a Permutation Representation, ISU Math. Rep., 0018, 2000� (With J.D.H. Smith) The Trirestricted Numbers and Powers of Permutation Representations, J. Comb. Math. Comb. Comp. 42 (2002), 113125.� (With DeAlba, Hogben, Maxwell, Wangsness) The P_0matrix completion problem ELA 9 (2002), 120.� (With J.D.H. Smith) On the Unimodality and Combinatorics of the Bessel Numbers, Discrete Math., 264 (2003), 4553.� (With DeAlba, Hogben, Kivunge, Nordstrom, Shedenhelm) The Nonnegative P0Matrix Completion Problem ELA 10 (2003), 4659.� (With J.D.H. Smith) On the combinatorics of multirestricted numbers, Ars. Com., 75(2005), pp. 4463.� (with Long, Ng, Smith) Reciprocity for Stirling and multirestricted numbers , J. Comb. Th., Ser. A, 113 (2006), 10501060� (with J.D.H. Smith) Recurrences for Trirestricted numbers, J. Comb. Math. Comb. Comp. 58 (2006) 311
· Ternary modified Collatz sequences and Jacobsthal numbers, J. Integer Seq., 19 (2016), Article 16.75 · A generalization of Collatz functions and Jacobsthal numbers , J. Integer Seq., 21 (2018), Article 18.5.4 · Digit sums and vertexlabelings , Advances and Applications in Discrete Mathematics, 9 (2018), 3, P.321..337 Undergraduate Research at Shippensburg� Justin Baker Graph Pebbling numbers of the cycles attached an edge, (20042005)· Kelly Toppin Minimum Pktotal weights of complete graphs, (20082009)Math elsewhere� American Mathematics Society (AMS) � The Mathematical Association of America (MAA) � Combinatorics and Algebra Seminar at ISU � Linear Algebra: Matrix Completions Research Group� Midwest Conference of Coding, Combinatorics, and Cryptography (MCCCC)· The Korean Mathematical Society (KMS)· KoreanAmerican Scientists and Engineers Association(KSEA)
