8 citations · 8 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
Some graph theoretical aspects of generalized truncations
Brian Alspach, Joshua B. Connor
A broader definition of generalized truncations of graphs is introduced followed by an exploration of some standard concepts and parameters with regard to generalized truncations.
Sequencing Partial Steiner Triple Systems
Brian Alspach, Donald L. Kreher, Adrián Pastine
A partial Steiner triple system of order n is sequenceable if there is a sequence of length n of its distinct points such that no proper segment of the sequence is a union of point…