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K-Independence Stable Graphs Upon Edge RemovalChellali, Mustapha, Haynes, Teresa W., Volkmann, Lutz 01 January 2010 (has links)
Let k be a positive integer and G = (V (G),E(G)) a graph. A subset S of V (G) is a k-independent set of G if the subgraph induced by the vertices of S has maximum degree at most k-1. The maximum cardinality of a k-independent set of G is the k-independence number βk(G). A graph G is called βk- -stable if βk(G - e) = βk(G) for every edge e of E(G). First we give a necessary and sufficient condition for βk--stable graphs. Then we establish four equivalent conditions for βk--stable trees.
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Enumeration of Stable GraphsDillon, Kane 25 May 2022 (has links)
No description available.
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