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math.CO2024
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…
math.CO2023
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…
math.CO2014
On factorisations of complete graphs into circulant graphs and the Oberwolfach Problem
Brian Alspach, Darryn Bryant, Daniel Horsley +2
Various results on factorisations of complete graphs into circulant graphs and on 2-factorisations of these circulant graphs are proved. As a consequence, a number of new results o…