The size of chordal, interval and threshold subgraphs

P. Erdös, A. Gyárfás, E. T. Ordman, Y. Zalcstein

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Given a graph G with n vertices and m edges, how many edges must be in the largest chordal subgraph of G? For m=n2/4+1, the answer is 3 n/2-1. For m=n2/3, it is 2 n-3. For m=n2/3+1, it is at least 7 n/3-6 and at most 8 n/3-4. Similar questions are studied, with less complete results, for threshold graphs, interval graphs, and the stars on edges, triangles, and K4's.

Original languageEnglish
Pages (from-to)245-253
Number of pages9
JournalCombinatorica
Volume9
Issue number3
DOIs
Publication statusPublished - Sep 1989

Keywords

  • AMS subject classification (1980): 05C35

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Computational Mathematics

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