A Local Strengthening of Reed's $\omega$, $\Delta$, $\chi$ Conjecture for Quasi-line Graphs-Reference-Cited by-同舟云学术

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A Local Strengthening of Reed's $\omega$, $\Delta$, $\chi$ Conjecture for Quasi-line Graphs

Published:2013-01 Issue:1 Volume:27 Page:95-108
ISSN:0895-4801
Container-title:SIAM Journal on Discrete Mathematics
language:en
Short-container-title:SIAM J. Discrete Math.

Author:

Chudnovsky Maria,King Andrew D.,Plumettaz Matthieu,Seymour Paul

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

General Mathematics

Link

http://epubs.siam.org/doi/pdf/10.1137/110847585

Reference8 articles.

1. Linear-Time Representation Algorithms for Proper Circular-Arc Graphs and Proper Interval Graphs

2. Bounding χ in terms of ω and Δ for quasi-line graphs

3. An upper bound for the chromatic number of line graphs

4. The round-up property of the fractional chromatic number for proper circular arc graphs

5. A max {m,n} algorithm for determining the graph H from its line graph G

Cited by 7 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. Large cliques in graphs with high chromatic number;Discrete Mathematics;2022-09

2. A local epsilon version of Reed's Conjecture;Journal of Combinatorial Theory, Series B;2020-03

3. A Local Epsilon Version of Reed's Conjecture;Electronic Notes in Discrete Mathematics;2017-08

4. Short Fans and the 5/6 Bound for Line Graphs;SIAM Journal on Discrete Mathematics;2017-01

5. On Bounding the Difference of the Maximum Degree and the Clique Number;Graphs and Combinatorics;2014-09-26

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