8 citations · 9 across the 8 of their papers we have counts for
9 papers
On the k-spanning cyclability of 4-valent Cayley graphs on Abelian groups
Brian Alspach, Aditya Joshi
A graph is -spanning cyclable if for any subset of distinct vertices there is a 2-factor of consisting of cycles such that each vertex in belongs to a di…
On The 2-Spanning Cyclability Of Honeycomb Toroidal Graphs
Brian Alspach, Aditya Joshi
A graph is 2-spanning cyclable if for any pair of distinct vertices and there is a 2-factor of consisting of two cycles such that and belong to distinct cyc…
Cubic factor-invariant graphs of cycle quotient type -- the alternating case
Brian Alspach, Primoz Sparl
We investigate connected cubic vertex-transitive graphs whose edge sets admit a partition into a -factor and a -factor that is invariant under a vertex-transiti…
On Factor-Invariant Graphs With Two Cycles
Brian Alspach, Ted Dobson, Afsaneh Khodadadpour +1
We classify trivalent vertex-transitive graphs whose edge sets have a partition into a 2-factor composed of two cycles and a 1-factor that is invariant under the action of the auto…
On the chromatic index of generalized truncations
Brian Alspach, Aditya Joshi
We examine the chromatic index of generalized truncations of graphs and multigraphs.
Honeycomb Toroidal Graphs
Brian Alspach
Honeycomb toroidal graphs are trivalent Cayley graphs on generalized dihedral groups. We examine the two historical threads leading to these graphs, some of the properties that hav…