https://nova.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 On the chromatic index of generalized truncations https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:51826 Wed 20 Sep 2023 10:07:32 AEST ]]> Sequencing partial Steiner triple systems https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:37261 Wed 15 Feb 2023 09:07:36 AEDT ]]> On automorphism groups of graph truncations https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:28295 t on t vertices. We determine necessary and sufficient conditions for T(Γ) to be hamiltonian, show Aut(T(Γ)) ≅ Aut(Γ), as well as show that if Γ  is vertex-transitive, then T(Γ ) is vertex-transitive if and only if Γ  is arc-transitive. Finally, in the case where t is prime we determine necessary and sufficient conditions for T(Γ) to be isomorphic to a Cayley graph as well as an additional necessary and sufficient condition for T(Γ) to be vertex-transitive.]]> Wed 11 Apr 2018 16:03:05 AEST ]]> On factorisations of complete graphs into circulant graphs and the Oberwolfach problem https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:24862 Wed 11 Apr 2018 15:38:54 AEST ]]> The Friedlander-Gordon-Miller conjecture is true https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:34331 Wed 04 Sep 2019 10:06:19 AEST ]]> On strongly sequenceable abelian groups https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:41394 Wed 03 Aug 2022 08:57:35 AEST ]]> Cycle decompositions IV: complete directed graphs and fixed length directed cycles https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:6486 Tue 16 Oct 2018 12:36:28 AEDT ]]> Cubic factor-invariant graphs of cycle quotient type—The alternating case https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:55299 Tue 14 May 2024 17:52:12 AEST ]]> Hamilton paths in Cayley graphs on Coxeter groups: I https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:28294 n, Bn, and Dn with regard to the problem of whether they are Hamilton-laceable or Hamilton-connected. It is known that every connected bipartite Cayley graph on An, n ≥ 2, whose connection set contains only transpositions and has valency at least three is Hamilton-laceable. We obtain analogous results for connected bipartite Cayley graphs on Bn, and for connected Cayley graphs on Dn. Non-bipartite examples arise for the latter family.]]> Thu 17 Sep 2020 09:45:52 AEST ]]> On factor-invariant graphs https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:41452 Thu 04 Aug 2022 10:09:36 AEST ]]> On the Hamilton connectivity of generalized Petersen graphs https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:8134 Sat 24 Mar 2018 08:40:04 AEDT ]]> Honeycomb toroidal graphs are Cayley graphs https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:7045 Sat 24 Mar 2018 08:37:51 AEDT ]]> Hamilton paths in Cayley graphs on generalized dihedral groups https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11211 Sat 24 Mar 2018 08:12:45 AEDT ]]> Paley graphs have Hamilton decompositions https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:18936 Sat 24 Mar 2018 07:58:58 AEDT ]]> Vertex-transitive graphs of prime-squared order are Hamilton-decomposable https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:17871 Sat 24 Mar 2018 07:56:12 AEDT ]]> Pancyclicity and Cayley graphs on abelian groups https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:16258 Sat 24 Mar 2018 07:54:17 AEDT ]]> Johnson graphs are Hamilton-connected https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:19703 Sat 24 Mar 2018 07:53:48 AEDT ]]> Orthogonal projection and liftings of Hamilton-decomposable Cayley graphs on abelian groups https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:19702 Sat 24 Mar 2018 07:53:48 AEDT ]]> Small 2-coloured path decompositions https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:27669 Sat 24 Mar 2018 07:38:50 AEDT ]]> Pancyclicity and Cayley graphs on generalized dihedral groups https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:30205 Sat 24 Mar 2018 07:31:04 AEDT ]]> Honeycomb toroidal graphs https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:39227 Fri 27 May 2022 13:15:21 AEST ]]> Variations on the Sequenceable Theme https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:46547 Fri 25 Nov 2022 11:26:51 AEDT ]]> On factor-invariant graphs with two cycles https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:51897 Fri 22 Sep 2023 09:30:35 AEST ]]>