Nowhere-zero flows in Cartesian bundles of graphs

  • Authors:
  • Edita Rollová;Martin Škoviera

  • Affiliations:
  • -;-

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2012

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Abstract

We extend the results of Imrich and Skrekovski [J. Graph Theory 43 (2003) 93-98] concerning nowhere-zero flows in Cartesian product graphs to 'twisted' Cartesian products, that is, Cartesian bundles. Our main result states that every Cartesian bundle of two graphs without isolated vertices has a nowhere-zero 4-flow.