Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  751.05070
Autor:  Chartrand, Gary; Erdös, Paul; Kubicki, Grzegorz
Title:  Absorbing common subgraphs. (In English)
Source:  Graph theory, combinatorics, algorithms, and applications, Proc. 2nd Int. Conf., San Francisco/CA (USA) 1989, 96-105 (1991).
Review:  [For the entire collection see Zbl 734.00014.]
Authors' abstract: A graph G without isolated vertices is an absorbing common subgraph of two graphs G1 and G2 of equal size if (1) G is isomorphic to a subgraph of G1 and G2 and (2) if H is any graph without isolated vertices that is isomorphic to a subgraph of G1 and G2, then H is isomorphic to a subgraph of G. Graphs G1 and G2 are characterized that have an absorbing common subgraph. Several graphs are determined that are absorbing common subgraphs of some pair of graphs or of no pair of graphs.
Reviewer:  T.Andreae (Hamburg)
Classif.:  * 05C60 Isomorphism problems (graph theory)
Keywords:  absorbing common subgraphs
Citations:  Zbl 734.00014

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