Dually and strongly chordal graphs

Andreas Brandstädt; Martin Charles Golumbic

doi:10.1017/9781108592376.010

Dually and strongly chordal graphs

Andreas Brandstädt
, Martin Charles Golumbic

Department of Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

This chapter presents dually chordal graphs, which are the dual variant of chordal graphs (in a hypergraph sense), and their well-known common hereditary subclass, the strongly chordal graphs. Like chordal graphs, these classes also have a fundamental tree representation underpinning their structure, as well as various algorithmic applications and alternative hypergraph characterizations. We conclude by discussing the class of graphs that are weakly chordal and bipartite, known as chordal bipartite graphs, and whose structure is closely related to strongly chordal graphs.

Original language	English
Title of host publication	Encyclopedia of Mathematics and its Applications
Subtitle of host publication	Topics in Algorithmic Graph Theory
Publisher	Cambridge University Press
Pages	152-167
Number of pages	16
ISBN (Electronic)	9781108592376
ISBN (Print)	9781108492607
DOIs	https://doi.org/10.1017/9781108592376.010
State	Published - 3 Jun 2021

Bibliographical note

Publisher Copyright:
© Cambridge University Press 2021. All rights reserved.

ASJC Scopus subject areas

General Mathematics
General Computer Science

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10.1017/9781108592376.010

Cite this

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Dually and strongly chordal graphs

Abstract

Bibliographical note

ASJC Scopus subject areas

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