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Antisymmetric flows on planar graphs
Journal of Graph Theory, 2006AbstractWe prove that every oriented planar graph admits a homomorphism to the Paley tournament P271 and hence that every oriented planar graph has an antisymmetric flow number and a strong oriented chromatic number of at most 271. © 2006 Wiley Periodicals, Inc.
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On multicommodity flows in planar graphs
Networks, 1984AbstractOkamura and Seymour recently proved two properties of multicommodity flows in undirected planar networks where all the sources and the sinks are on a common face of the underlying graph. One is that a feasible solution is guaranteed whenever each cut's capacity is at least as large as the cut's demand.
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Edge colorings and circular flows on regular graphs
Journal of Graph Theory, 2022Davide Mattiolo, Eckhard Steffen
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Flows on metric graphs with general boundary conditions
Journal of Mathematical Analysis and Applications, 2022Klaus-Jochen Engel +1 more
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Flows on Signed Graphs without Long Barbells
SIAM Journal on Discrete Mathematics, 2020Cun-Quan Zhang, Rong Luo, You Lu
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Stochastic flows on metric graphs
Electronic Journal of Probability, 2014Hatem Hajri, Olivier Raimond
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Nowhere-zero 3-flows in dihedral Cayley graphs
Information Processing Letters, 2011Xiangwen Li
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