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Nowhere-Zero 4-Flows and Cayley Graphs on Solvable Groups

✍ Scribed by Alspach, Brian; Liu, Yi-Ping; Zhang, Cun-Quan


Book ID
118198927
Publisher
Society for Industrial and Applied Mathematics
Year
1996
Tongue
English
Weight
548 KB
Volume
9
Category
Article
ISSN
0895-4801

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The size of graphs without nowhere-zero
✍ Hong-Jian Lai πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 428 KB πŸ‘ 1 views

Let G be a 2-edge-connected simple graph with order n. We show that if IV(G)l 5 17, then either G has a nowhere-zero 4-flow, or G is contractible to the Petersen graph. We also show that for n large, if I€(G)J L (' 2 17) + 34, then either G has a nonwhere-zero 4-flow, or G can be contracted to the P