Independant domination number of a graph


Tamizh Chelvam and Rani [8] obtained the domination number for certain circulant graphs, Cayley graphs on Z n. T amizh Chel v am and I. I is a clique and U is an independent set. N v of v is the set of all vertices adjacent to v. Double Domination in Graphs. Please refer to this blog post for more information.
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Graph Theory - Independent Sets

The complement of a maximal independent set, that is, the set of vertices not belonging to the independent set, forms a minimal vertex cover. The first three of these problems are all important in practical applications; the independent set decision problem is not, but is necessary in order to apply the theory of NP-completeness to problems related to independent sets. However L 1 is not an independent line set, as for making an independent line set, there should be at least two edges. Certain families of graphs may, however, have much more restrictive bounds on the numbers of maximal independent sets or maximal cliques. An independent set in a geometric intersection graph is just a set of disjoint non-overlapping shapes. Retrieved 21 February Modular decomposition is a good tool for solving the maximum weight independent set problem; the linear time algorithm on cographs is the basic example for that.
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Graph Theory Independent Sets

A maximal clique is a set of vertices that induces a complete subgraph , and that is not a subset of the vertices of any larger complete subgraph. For example, the size of the graph would need to be known or the maximum degree of neighboring vertices for a given vertex could be queried. This page was last edited on 4 March , at A new algorithm for generating all the maximal independent sets.
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Independant domination number of a graph
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Independant domination number of a graph
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Independent set (graph theory)

Independant domination number of a graph



Description: A set is independent if and only if its complement is a vertex cover. There should not be any common edge between any two vertices. Most obviously, the solutions to the maximum independent set problem, the maximum clique problem, and the minimum independent dominating problem must all be maximal independent sets or maximal cliques, and can be found by an algorithm that lists all maximal independent sets or maximal cliques and retains the ones with the largest or smallest size. Graph Theory - Independent Sets Advertisements.

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