SIAM Journal on Discrete Mathematics


SIAM J. Discrete Math., 30(2), 1248–1258. (11 pages)

Nowhere-Zero Flows in Signed Series-Parallel Graphs

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Article Data

History

Submitted: 10 November 2014
Accepted: 22 February 2016
Published online: 09 June 2016

AMS Subject Headings

05C21, 05C22

Publication Data

ISSN (print): 0895-4801
ISSN (online): 1095-7146
Publisher: Society for Industrial and Applied Mathematics
CODEN: sjdmec
Tomáš Kaiser and Edita Rollová
https://doi.org/10.1137/140994861

Bouchet conjectured in 1983 that each signed graph that admits a nowhere-zero flow has a nowhere-zero 6-flow. We prove that the conjecture is true for all signed series-parallel graphs. Unlike the unsigned case, the restriction to series-parallel graphs is nontrivial; in fact, the result is tight for infinitely many graphs.

© 2016, Society for Industrial and Applied Mathematics
Permalink: https://doi.org/10.1137/140994861

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