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Trees having many minimal dominating sets

โœ Scribed by Krzywkowski, Marcin


Book ID
120245118
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
148 KB
Volume
113
Category
Article
ISSN
0020-0190

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๐Ÿ“œ SIMILAR VOLUMES


Universal minimal total dominating funct
โœ Alan Stacey ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 179 KB

We show that any tree that has a universal minimal total dominating function has one which only takes 0-1 values. K 3 demonstrates that this fails for graphs in general. Given a graph G =(V, E), for each vertex ve V let F(v) be the set of its neighbours (in particular, not including v itself). A to

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The relation Ye on the set of minimal dominating functions (MDFs) of a finite graph G is defined by f&?g if and only if any convex combination off and g is also an MDF. If fis a nonintegral MDF of a tree, the existence of another MDF with fewer nonintegral values and other desirable properties is es

Dominating sets whose closed stars form
โœ Jerrold W. Grossman ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 696 KB

For a subset W of vertices of an undirected graph G, let S(W) be the subgraph consisting of W, all edges incident to at least one vertex in W, and all vertices adjacent to at least one vertex in W. If there exists a W such that S(W) is a tree containing all the vertices of G, then S(W) is a spanning