A subset of vertices is a maximum independent set if no two of the vertices are joined by an edge and the subset has maximum cardinality. In this paper we answer a question posed by Herb Wilf. We show that the greatest number of maximum independent sets for a tree of n vertices is 2(n-3\* for odd n
β¦ LIBER β¦
Maximum independent sets of commuting and noninterfering inversions
β Scribed by Krister M Swenson; Yokuki To; Jijun Tang; Bernard ME Moret
- Book ID
- 114998939
- Publisher
- BioMed Central
- Year
- 2009
- Tongue
- English
- Weight
- 388 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1471-2105
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A set J C V is called a nonseparating independent set (nsis) of a connected graph G = (V, E), if J is an independent set of G, i.e., E A {uv [ Vu, v E J} = 0, and G -J is connected. We call z(G) = maxJ{lJ[ tJ is an nsis of G} the nsis number of G. Let G be a 3-regular connected graph; we prove that