The competition number of a graph with exactly <mml:math altimg="si8.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>h</mml:mi></mml:math> holes, all of which are independent-Reference-Cited by-同舟云学术

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The competition number of a graph with exactly h holes, all of which are independent

Published:2009-04 Issue:7 Volume:157 Page:1337-1341
ISSN:0166-218X
Container-title:Discrete Applied Mathematics
language:en
Short-container-title:Discrete Applied Mathematics

Author:

Li Bo-Jr,Chang Gerard J.

Publisher

Elsevier BV

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference16 articles.

1. J.E. Cohen, Interval graphs and food webs: A finding and a problem, RAND Corporation Document 17696-PR, Santa Monica, CA, 1968

2. Niche graphs;Cable;Discrete Appl. Math.,1989

3. Niche numbers;Fishburn;J. Graph Theory,1992

4. The competition number and its variants;Kim,1993

5. Competition numbers of graphs with a small number of triangles;Kim;Discrete Appl. Math.,1997

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Mathematical Approach on Representation of Competitions: Competition Cluster Hypergraphs;Mathematical Problems in Engineering;2020-06-10

2. Competition Numbers, Quasi-line Graphs, and Holes;SIAM Journal on Discrete Mathematics;2014-01

3. Competition numbers of complete r-partite graphs;Discrete Applied Mathematics;2012-10

4. A sufficient condition for Kim’s conjecture on the competition numbers of graphs;Discrete Mathematics;2012-03

5. The competition number of a graph and the dimension of its hole space;Applied Mathematics Letters;2012-03

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