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An upper bound on the chromatic number of a circle graph without [K.sub.4]

Authors :
Nenashev, G.V.
Source :
Journal of Mathematical Sciences. August 1, 2012, Vol. 184 Issue 5, p629, 5 p.
Publication Year :
2012

Abstract

Let G be a circle graph without clique on 4 vertices. We prove that the chromatic number of G does not exceed 30. Bibliography: 7 titles.<br />UDC 519.174.7 1. INTRODUCTION Definition 1. Fix a circle. Let π he a finite set of chords of this circle. A circle graph G(A) is a graph with π as [...]

Subjects

Subjects :
Mathematics

Details

Language :
English
ISSN :
10723374
Volume :
184
Issue :
5
Database :
Gale General OneFile
Journal :
Journal of Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
edsgcl.380592535