Characterizing Atoms that Result from Decomposition by Clique Separators

A graph is defined to be an atom if no minimal vertex separator induces a complete subgraph; thus, atoms are the graphs that are immune to clique separator decomposition. Atoms are characterized here in two ways: first using generalized vertex elimination schemes, and then as generalizations of 2-co...

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Bibliographic Details
Main Author: McKee Terry A.
Format: Article
Language:English
Published: Sciendo 2017-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1944