Selected
Publications:
(with D.L. Greenwell and R.L. Hemminger)
"Forbidden Subgraphs," Proceedings of the Fourth Southeastern
Conference on Combinatorics, Graph Theory and Computing. 1973, 389-394.
"Characterizing Line
Dipseudographs," Proceedings of the Sixth Southeastern Conference on
Combinatorics, Graph Theory, and Computing. 1975, 429-442.
(with R.L. Hemminger), "Line
Pseudodigraphs," Journal of Graph Theory. 1977, 365-377.
"Hamiltonian Cycles in Cayley Color
Graphs," Journal of Graph Theory. 1978, 65-68.
(with A.G. Starling), "Hamiltonian
Cycles in Cayley Color Graphs of Semi-Direct Products," Proceedings of the
Ninth Southeastern Conference on Combinatorics, Graph Theory, and Computing.
1978, 411-435.
(with A.G. Starling), "Hamiltonian
Cycles in Cayley Color Graphs of Some Special Groups," Proceedings of the
Tenth Southeastern Conference on Combinatorics, Graph Theory, and Computing.
1979, 595-599.
(with A.G. Starling), "Hamiltonian
Groups are Color-Graph-Hamiltonian," Journal of Graph Theory. 1981,
197-199.
(with A.G. Starling), "On the Reverse
of a Permutation," Fourteenth Southeastern Conference on Combinatorics,
Graph Theory, and Computing. 1983, 127-136.
(with C. Fullbright), "Transition
from Bubble Sort to Shell Sort," ACM SIGCSE Technical Symposium, V20,1988,
183-4.
(with E. Carr), "Hamiltonian Cycles
in CnX2Cm", Congressus Numerantium 76 (1990), 167-171.
(with E. Carr), "Hamiltonian Cycles
in CnXSCm", Congressus Numerantium 83 (1991), 213-221.
(with Sheh Chong Chen and E. Carr),
"On Hamiltonian Cycles in CnX2Cm", Congressus Numerantium 95 (1993),
131-142.
(with E. Carr), " On Hamiltonian
Cycles in CnXsCm", Congressus Numerantium 101 (1994), 209-216.
" On Hamiltonian Cycles in
CnX2,tCm", Congressus Numerantium 107 (1995), 199 - 208.
(with S. Sportsman), " On the
Generalization of a Math Olympiad Problem", The College Mathematics
Journal 27 (1996), 296-297.
"On the Sum of n Dice", Crux
Mathematicorum, 22 (1996), 145-148.
(with E. Carr), " On Hamiltonian
Cycles in CnXChm", Congressus Numerantium 121 (1996), 97-103.
(with A. G. Starling), "Vertex
Disjoint Coverings of a Cayley Color Graph", Congressus Numerantium 119
(1996), 97-103.
(with S. Sportsman and C. Wallis), "
On Permanents of Adjacency Matrices", Congressus Numerantium 118 (1996),
185-191.
(with S. Sportsman and C Wallis), "
On Permanents of Adjacency Matrices of Iterated Digraphs", Congressus
Numerantium, 125 (1997), 119-127.
(with S. Sportsman and A. G. Starling),
"An Algorithm for n-realizable Partitons of n(n+1)/2", Congressus
Numerantium, 138 (1999), 5 - 11.
(with A. G. Starling), "Ascending
Subgraph Decompositon and n-realizable Partitons Integers", Congressus Numerantium, 146 (2000), 147
- 152.
(with
E. Carr ), "On Hamiltonain Cycles in CnX2,2Cm”,
Congressus Numerantium, 147 (2000), 145 - 151.
(with
E. Carr, S. Sportsman, and A. Starling ), "On the Digraph P(n,k)”,
Congressus Numerantium, 155 (2002), 89-93.
(with
S. Sportsman), "Permanents of Power Graphs”, Congressus Numerantium, 159
(2002), 63-67.
(with
E. Carr, Kerr, and A. Starling), "Generating Cycles in the Digraph P(n,k):
An Algorithm", Congressus Numerantium, 162 (2003), 129-137.
(with E. Carr and A. Starling), "Hamiltonian Cycles in CnXCn-RTk",
Congressus Numerantium, 170 (2004), 129-141.
(with E. Carr), "Hamiltonian Cycles in CnXCn-Sk",
Congressus Numerantium, 176 (2005), 175-189.
(with E. Carr), "More on
Hamiltonian Cycles in CnXCn-Sk",
Congressus Numerantium, 179 (2006) 129-138.
(with E. Carr), " A Sufficient Condition for Hamiltonian Cycles in CnXCm
-Sk", Congressus Numerantium, 186 (2007) 117-128.
(with E. Carr), “On Hamiltonain Cycles in CnXCm
after a single push”, submitted for publication.