Conjectured circular-flow bound for odd-regular graphs
Conjectured circular-flow bound for odd-regular graphs
Let be an integer and let be a -graph, meaning a graph in which every vertex has degree . The odd-regular flow conjecture. Every such graph satisfies
The source presents this as a possible extension of the statement equivalent to Tutte's 3-flow conjecture for -graphs; it would imply the accompanying conjecture for class 1 graphs and remains open in the stated range.
Sources & referencesView supporting material
Primary source
Eckhard Steffen, “Edge-colorings and circular flow numbers on regular graphs”, arXiv:1310.8441 (2013).
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