Even Bonds of Prescribed Directed Parity

Sven Hartmann, C.H.C. Little


Given a set $S$ of vertices in a graph, the cocycle determined by $S$ is the set of edges joining a vertex in $S$ to a vertex not in $S$. A bond is a minimal non-empty cocycle. We characterise graphs that admit an orientation under which every bond of even cardinality has a prescribed directed parity.

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