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On the Density of Nearly Regular Graphs with a Good Edge-Labeling

✍ Scribed by Mehrabian, Abbas


Book ID
118197183
Publisher
Society for Industrial and Applied Mathematics
Year
2012
Tongue
English
Weight
123 KB
Volume
26
Category
Article
ISSN
0895-4801

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On the bipartite density of regular grap
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## Abstract Let __B(G)__ be the edge set of a bipartite subgraph of a graph __G__ with the maximum number of edges. Let __b~k~__ = inf{|__B(G)__|/|__E(G)__β€–__G__ is a cubic graph with girth at least __k__}. We will prove that lim~k β†’ ∞~ __b~k~__ β‰₯ 6/7.