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Sufficient conditions for equality of connectivity and minimum degree of a graph

✍ Scribed by Jerzy Topp; Lutz Volkmann


Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
270 KB
Volume
17
Category
Article
ISSN
0364-9024

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✦ Synopsis


Abstract

For a graph G, let n(G), κ(G) and δ(G) denote the order, the connectivity, and the minimum degree of G, respectively. The paper contains some conditions on G implying κ(G) = δ(G). One of the conditions is that n(G) ≤ δ(G)(2__p__ −1)/(2__p__ −3) if G is a p‐partite graph. © 1993 John Wiley & Sons, Inc.


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