Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777132 | Electronic Notes in Discrete Mathematics | 2017 | 7 Pages |
Abstract
We study the following conjecture of Matt DeVos: If there is a graph homomorphism from Cayley graph Cay(M, B) to another Cayley graph Cay(Mâ², Bâ²) then every graph with (M, B)-flow has (Mâ², Bâ²)-flow. This conjecture was originally motivated by the flow-tension duality. We show that a natural strengthening of this conjecture does not hold in all cases but we conjecture that it still holds for an interesting subclass of them and we prove a partial result in this direction. We also show that the original conjecture implies the existence of oriented cycle double cover with a small number of cycles.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Radek HuÅ¡ek, Robert Å ámal,