Topological graph theory
The maximum genus of graph bundles
European Journal of Combinatorics
The chromatic numbers of graph bundles over cycles
Selected papers of the 14th British conference on Combinatorial conference
Recognizing Cartesian graph bundles
Discrete Mathematics
A theorem on integer flows on cartesian products of graphs
Journal of Graph Theory
Nowhere-zero 3-flows in products of graphs
Journal of Graph Theory
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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.