Article ID Journal Published Year Pages File Type
4651157 Discrete Mathematics 2007 6 Pages PDF
Abstract

A graph G   is hereditarily dominated by a class of connected graphs DD if each connected induced subgraph of G   contains a dominating induced subgraph belonging to DD. In this paper, we determine graphs hereditarily dominated by classes of cycles and paths, paths, trees and trees with a bounded diameter. In each case, a characterization in terms of forbidden induced subgraphs is given.

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Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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