The flow index and strongly connected orientations

Jiaao Li, Carsten Thomassen, Yezhou Wu, Cun-Quan Zhang

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We prove that, for any natural number p, the flow index φ(G) < 2 + 1 p if and only if G has a strongly connected modulo (2p + 1)-orientation. For the case p = 1 we prove that the flow index of every 8-edge-connected graph is strictly less than 3.
Original languageEnglish
JournalEuropean Journal of Combinatorics
Pages (from-to)164-177
Publication statusPublished - 2018

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