منابع مشابه
The complexity of clique graph recognition
A complete set of a graph G is a subset of vertices inducing a complete subgraph. A clique is a maximal complete set. Denote by C(G) the clique family of G. The clique graph of G, denoted by K(G), is the intersection graph of C(G). Say that G is a clique graph if there exists a graph H such that G = K(H). The clique graph recognition problem asks whether a given graph is a clique graph. A suffi...
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The edge tenacity Te(G) of a graph G is dened as:Te(G) = min {[|X|+τ(G-X)]/[ω(G-X)-1]|X ⊆ E(G) and ω(G-X) > 1} where the minimum is taken over every edge-cutset X that separates G into ω(G - X) components, and by τ(G - X) we denote the order of a largest component of G. The objective of this paper is to determine this quantity for split graphs. Let G = (Z; I; E) be a noncomplete connected split...
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In this paper we investigate a variation of the graph coloring game, as studied in [2]. In the original coloring game, two players, Alice and Bob, alternate coloring vertices on a graph with legal colors from a fixed color set, where a color α is legal for a vertex if said vertex has no neighbors colored α. Other variations of the game change this definition of a legal color. For a fixed color ...
متن کاملComplexity Analysis of Clique Problem
MAXIMUM CLIQUE PROBLEM the most relevant problem in Graph theory, known for years still do not have its polynomial time solution. Many algorithms have been proposed, still the problem lie the same i.e. to find the Clique in the polynomial time. The Clique problem is to figure out the sub graph with the maximum cardinality. Maximum clique in a random graph is NP-Hard problem, actuated by many pr...
متن کاملClique numbers of graph unions
Let B and R be two simple graphs with vertex set V , and let G(B, R) be the simple graph with vertex set V , in which two vertices are adjacent if they are adjacent in at least one of B and R. For X ⊆ V , we denote by B|X the subgraph of B induced by X; let R|X and G(B, R)|X be defined similarly. We say that the pair (B, R) is additive if for every X ⊆ V , the sum of the clique numbers of B|X a...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2013
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2013.07.020