In the mathematical discipline of graph theory, a matching or independent edge set in an undirected graph is a set of edges without common vertices.
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Abstract. top We introduce a new hereditary class of graphs, the dominant-matching graphs, and we characterize it in terms of forbidden induced subgraphs.
Request PDF | Dominant-matching graphs | We introduce a new hereditary class of graphs, the dominant-matching graphs, and we characterize it in terms of
dominant-covering graphs, and then we extend it to dominant-matching graphs. Theorem 1. A graph G is a dominant-covering graph if and only if G does not ...
Sep 11, 2021 · A subset M ⊆ E of edges of a graph G = ( V , E ) is called a matching if no two edges of M share a common vertex.
The matching domination is defined as follows: Let G :< V, E > be a finite graph without isolated vertices. Let S ⊆ V . A dominating set S or G is called a ...
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Apr 4, 2024 · A matching M in a graph G is an induced matching if the largest degree of the subgraph of G induced by. M is equal to one. A dominating ...
There is a bound on the domination number of graphs that have a matching whose removal doubles the domination number. We will need the following terminology ...
In graph theory, a dominating set for a graph G is a subset D of its vertices, such that any vertex of G is in D, or has a neighbor in D. The domination ...