A nowhere-zero 3-flow in a graph G is an assignment of a direction and a value of 1 or 2 to each edge of G such that, for each vertex v in G, the sum of the values of the edges with tail v equals the sum of the values of the edges with head v. Motivated by results about the region coloring of planar
β¦ LIBER β¦
Nearly nowhere-zero -flow graphs
β Scribed by Eckhard Steffen
- Book ID
- 113567702
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 204 KB
- Volume
- 312
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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## Abstract In this paper, we characterize graphs whose tensor product admit nowhereβzero 3βflow. The main result is: For two graphs __G__~1~ and __G__~2~ with Ξ΄ββ₯β2 and __G__~2~ not belonging to a wellβcharacterized class of graphs, the tensor product of __G__~1~ and __G__~2~ admits a nowhereβzero