(5,2)-cycle-cover conjecture for bridgeless graphs

Let GG be a bridgeless graph, not necessarily cubic. An even subgraph is a subgraph in which every vertex has even degree.

(5,2)(5,2)-cycle-cover conjecture. The graph GG contains five even subgraphs such that every edge of GG belongs to exactly two of them.

The conjecture is presented as a classical consequence of the Petersen coloring conjecture. The supplied source gives no evidence that it has been resolved.

Sources & referencesView supporting material

Primary source

Giuseppe Mazzuoccolo and Vahan Mkrtchyan, “Normal edge-colorings of cubic graphs”, arXiv:1804.09449 (2019).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.