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The vertex (edge) independence number, vertex (edge) cover number and the least eigenvalue of a graph

✍ Scribed by Ying-Ying Tan; Yi-Zheng Fan


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
151 KB
Volume
433
Category
Article
ISSN
0024-3795

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The independence number of an edge-chrom
✍ Douglas R. Woodall πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 77 KB πŸ‘ 1 views

A graph G with maximum degree and edge chromatic number (G)> is edge--critical if (G -e) = for every edge e of G. It is proved here that the vertex independence number of an edge--critical graph of order n is less than 3 5 n. For large , this improves on the best bound previously known, which was ro