## Papers of Dave Witte Morris on Graph Theory

 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. (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 (free PDF) (MR2912833) (arxiv:1104.0081) [Appendix: Cayley graphs of order 48 are hamiltonian (unpublished).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 (free PDF) (MR2979490) (arxiv:1102.5156) [Appendix: Cayley graphs of order 150 are hamiltonian (unpublished).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 A5 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)