论文信息 - The Set of Circular Flow Numbers of Regular Graphs

The Set of Circular Flow Numbers of Regular Graphs

This article determines the set of the circular flow numbers of regular graphs. Let be the set of the circular flow numbers of graphs, and be the set of the circular flow numbers of d-regular graphs. If d is even, then . For it is known [6] that . We show that . Hence, the interval is the only gap for circular flow numbers of -regular graphs between and 5. Furthermore, if Tutte's 5-flow conjecture is false, then it follows, that gaps for circular flow numbers of graphs in the interval [5, 6] are due for all graphs not just for regular graphs.

Michael Schubert | Eckhard Steffen

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