Article ID Journal Published Year Pages File Type
4649240 Discrete Mathematics 2010 8 Pages PDF
Abstract

For a connected finite graph GG and a subset V0V0 of its vertex set, a distance-residual subgraph is a subgraph induced on the set of vertices at the maximal distance from V0V0. Some properties and examples of distance-residual subgraphs of vertex-transitive, edge-transitive, bipartite and semisymmetric graphs are presented. The relations between the distance-residual subgraphs of product graphs and their factors are explored.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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