G37. | with Kirsten Wilk: Cayley graphs of order \(kp\) are hamiltonian for \(k < 48\), Art of Discrete and Applied Mathematics (to appear). (arXiv:1805.00149) |
G36. | Cayley graphs on groups with commutator subgroup of order \(2p\) are hamiltonian, Art of Discrete and Applied Mathematics 1 (2018) #P04. (31 pages) (free PDF) (arxiv:1703.06377) |
G35. | with Dallan McCarthy: Hamiltonian paths in \(m \times n\) projective checkerboards, Contributions to Discrete Mathematics 14 (2019) 1-30. (free PDF) (arxiv:1607.04001) |
G34. |
with Joy Morris and Gabriel Verret: Isomorphisms of Cayley graphs on nilpotent groups, New York Journal of Mathematics 22 (2016) 453-467. (free PDF) (arxiv:1603.01883) |
G33. |
Infinitely many
nonsolvable groups whose Cayley graphs are hamiltonian, Journal
of Algebra, Combinatorics, Discrete Structures and Applications
(JACODESMATH) 3 (2016) 13-30. (free
PDF) (arxiv:1507.04973) |
G32. |
with Ademir
Hujdurović, Klavdija
Kutnar, and Joy
Morris: On colour-preserving automorphisms of Cayley
graphs, Ars Mathematica
Contemporanea 11 (2016) 189-213. (free
PDF) (arxiv:1411.6732) |
G31. |
On Cayley digraphs that do not have hamiltonian paths, International Journal of Combinatorics 2013 (2013), Article ID 725809, 7 pages. (free PDF) (MR3151562) (arxiv:1306.5443) |
G30. |
Odd-order Cayley graphs with commutator subgroup of order \(pq\) are hamiltonian, Ars Mathematica Contemporanea 8 (2015) 1–28. (free PDF) (MR3281117) (arxiv:1205.0087) |
G29. |
with Ebrahim Ghaderpour: Cayley graphs on nilpotent groups with cyclic commutator subgroup are hamiltonian, Ars Mathematica Contemporanea 7 (2014), no. 1, 55–72. (free PDF) (MR3029452) (arxiv:1111.6216) |
G28. |
2-generated Cayley digraphs on nilpotent groups have hamiltonian paths, Contributions to Discrete Mathematics 7 (2012), no. 1, 41–47. (free PDF) (MR2956335) (arxiv:1103.5293) |
G27. |
with Stephen
J. Curran and Joy
Morris: Cayley graphs of order \(16p\) are hamiltonian,
Ars Mathematica Contemporanea
5 (2012), no. 2, 185–211. (free
PDF) (MR2912833)
(arxiv:1104.0081)
[Appendix: Cayley graphs of order 48 are hamiltonian (unpublished). (arxiv:1104.0081/anc/48.pdf)] |
G26. |
with Ebrahim Ghaderpour: Cayley graphs of order
\(30p\) are hamiltonian, Discrete
Mathematics 312 (2012) 3614–3625. (free
PDF) (MR2979490)
(arxiv:1102.5156) [Appendix: Cayley graphs of order 150 are hamiltonian (unpublished). (arxiv:1102.5156/anc/150.pdf)] |
G25. |
with Ebrahim Ghaderpour: Cayley graphs of order \(27p\) are hamiltonian, International Journal of Combinatorics 2011 (2011), Article ID 206930, 16 pages. (free PDF) (MR2822405) (arxiv:1101.4322) |
G24. |
with Klavdija
Kutnar, Dragan
Marusic, Joy
Morris, and Primoz
Sparl: Hamiltonian cycles in Cayley graphs whose order has
few prime factors, Ars
Mathematica Contemporanea 5 (2012), no. 1, 27–71. (free
PDF) (MR2853700)
(arxiv:1009.5795) Appendix: Cayley graphs on A_{5} are hamiltonian (unpublished). (arxiv:1009.5795/anc/A5.pdf) |
G23. |
with Joy Morris and Kerri Webb: Hamiltonian cycles in \((2,3,c)\)-circulant digraphs, Discrete Mathematics 309 (2009) 5484–5490. (free PDF) (MR2548566 no review) (arxiv:math/0610010) |
G22. |
with Joy Morris and David Petrie Moulton: Flows that are sums of hamiltonian cycles in abelian Cayley graphs, Discrete Mathematics 299 (2005) 208–268. (free PDF) (MR2168709) (arxiv:math/0309050) |
G21. |
with David Austin and Heather Gavlas: Hamiltonian paths in Cartesian powers of directed cycles, Graphs and Combinatorics 19 (2003) 459–466. (PDF for subscribers) (my scan) (MR2031001) (arxiv:math/0110073) |
G20. |
with Edward
Dobson: Transitive permutation groups of prime-squared
degree, Journal
of Algebraic Combinatorics 16 (2002) 43–69. (PDF
for subscribers) (my scan) (MR1941984)
(arxiv:math/0012192) [Erratum: 29 (2009), no. 4, 537. (free PDF) (MR2506720)] |
G19. |
with Stephen C. Locke: On non-hamiltonian circulant digraphs of outdegree three, Journal of Graph Theory 30 (1999) 319–331. (PDF for subscribers) (my scan) (MR1669452) (arxiv:math/9702227) |
G18. |
with Edward Dobson, Heather Gavlas, and Joy Morris: Automorphism groups with cyclic commutator subgroup and Hamilton cycles, Discrete Mathematics 189 (1998) 69–78. (free PDF) (MR1637709) (arxiv:math/9702226) |
G17. |
with Margaret H. Forbush, Elizabeth Hanson, Susan Kim, Andrew Mauer, Rhian Merris, Seth Oldham, Jennifer O. Sargent, and Kate Sharkey: Hamiltonian paths in projective checkerboards, Ars Combinatoria 56 (2000) 147–160. (my scan) (MR1768611) |
G16. |
with Tomaz Pisanski and Thomas W. Tucker: The non-orientable genus of some metacyclic groups, Combinatorica 12 (1992) 77–87. (PDF for subscribers) (my scan) (MR1167477) |
G15. |
with Douglas Dunham and Douglas S. Jungreis: Infinite hamiltonian paths in Cayley digraphs of hyperbolic symmetry groups, Discrete Mathematics 143 (1995) 1–30. (free PDF) (MR1344742) |
G14. |
Hamilton-decomposable graphs and digraphs of infinite valence, Discrete Mathematics 84 (1990) 87–100. (free PDF) (MR1065717) |
G13. |
with Michael Reid and Douglas S. Jungreis: Distances forbidden by some two-coloring of \(\mathbb{Q}\)^{2}, Discrete Mathematics 82 (1990) 53–56. (free PDF) (MR1058709) |
G12. |
with Stephen C. Locke: Flows in circulant graphs of odd order are sums of Hamilton cycles, Discrete Mathematics 78 (1989) 105–114. (free PDF) (MR1020652) |
G11. |
with Brian Alspach and Stephen C. Locke: The Hamilton spaces of Cayley graphs on abelian groups, Discrete Mathematics 82 (1990) 113–126. (free PDF) (MR1057481) |
G10. |
with Joseph A. Gallian: When the cartesian product of two directed cycles is hyperhamiltonian, Journal of Graph Theory 11 (1987) 21–24. (PDF for subscribers) (my scan) (MR876200) |
G9. |
Cayley digraphs of prime-power order are hamiltonian, Journal of Combinatorial Theory Series B 40 (1986) 107–112. (free PDF) (MR830597) |
G8. |
with Joseph A. Gallian: Hamiltonian checkerboards, Mathematics Magazine 57 (1984) 291–294. (PDF for JSTOR subscribers - anyone can read free online) (MR765645) |
G7. |
with Joseph A. Gallian: A survey: hamiltonian cycles in Cayley graphs, Discrete Mathematics 51 (1984) 293–304. (free PDF) (MR762322) |
G6. |
with Kevin Keating: On Hamilton cycles in Cayley graphs with cyclic commutator subgroup, in B.R.Alspach and C.D.Godsil, eds: Cycles in Graphs. Annals of Discrete Mathematics, vol. 27. Elsevier, 1985, pp. 89–102. ISBN 978-0-444-87803-8 (my scan) (MR821508) |
G5. |
with Laurence E. Penn: When the cartesian product of two directed cycles is hypo-hamiltonian, Journal of Graph Theory 7 (1983) 441–443. (PDF for subscribers) (my scan) (MR722060) |
G4. | with Stephen J. Curran: Hamilton paths in cartesian products of directed cycles, in B.R.Alspach and C.D.Godsil, eds: Cycles in Graphs. Annals of Discrete Mathematics, vol. 27. Elsevier, 1985, pp. 35–74. (my scan) (MR821505) |
G3. |
with Gail Letzter and Joseph A. Gallian: On hamiltonian circuits in cartesian products of Cayley digraphs, Discrete Mathematics 43 (1983) 297–307. (free PDF) (MR685637) |
G2. |
with Douglas Dunham and John Lindgren: Creating repeating hyperbolic patterns, Computer Graphics 15 (1981) 215–223. (my scan) (not indexed in MR) |
G1. |
On Hamiltonian circuits in Cayley diagrams, Discrete Mathematics 38 (1982) 99–108. (free PDF) (MR676525) |