2 papers
math.CO2021
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…
math.CO2016
Decompositions of complete uniform multi-hypergraphs into Berge paths and cycles of arbitrary lengths
Ramin Javadi, Afsaneh Khodadadpour, Gholamreza Omidi
In 1981, Alspach conjectured that the complete graph could be decomposed into cycles of arbitrary lengths, provided that the obvious necessary conditions would hold. This…