Maxclique and unit disk characterizations of strongly chordal graphs
Author(s) -
Pablo De Caria,
Terry A. McKee
Publication year - 2014
Publication title -
discussiones mathematicae graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.476
H-Index - 19
eISSN - 2083-5892
pISSN - 1234-3099
DOI - 10.7151/dmgt.1757
Subject(s) - chordal graph , interval graph , combinatorics , mathematics , unit disk graph , indifference graph , pathwidth , unit (ring theory) , graph , split graph , discrete mathematics , computer science , 1 planar graph , line graph , telecommunications , wireless network , mathematics education , wireless
Maxcliques (maximal complete subgraphs) and unit disks (closed neighborhoods of vertices) sometime play almost interchangeable roles in graph theory. For instance, interchanging them makes two existing characterizations of chordal graphs into two new characterizations. More intriguingly, these characterizations of chordal graphs can be naturally strengthened to new characterizations of strongly chordal graph
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