On the number of B-flows of a graph

  • Authors:
  • Delia Garijo;Andrew Goodall;Jaroslav Nešetřil

  • Affiliations:
  • -;-;-

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2014

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Abstract

We exhibit explicit constructions of contractors for the graph parameter counting the number of B-flows of a graph, where B is a subset of a finite Abelian group closed under inverses. These constructions are of great interest because of their relevance to the family of B-flow conjectures formulated by Tutte, Fulkerson, Jaeger, and others.