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International Journal of Computer Mathematics Volume 91, 2014 - Issue 10
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Section A

On the size of critical graphs with small maximum degree

Lian-Ying MiaoInstitute of Mathematics, China University of Mining and Technology, Xuzhou221116, ChinaCorrespondence[email protected]
[email protected]
,
Wen-Yao SongInstitute of Mathematics, China University of Mining and Technology, Xuzhou221116, China
,
Shi-You PangInstitute of Mathematics, China University of Mining and Technology, Xuzhou221116, China
&
Zheng-Ke MiaoDepartment of Mathematics, Jiangsu Normal University, Xuzhou221116, China
Pages 2142-2151 | Received 07 Jun 2013, Accepted 08 Jan 2014, Published online: 26 Mar 2014
 
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Abstract

In this paper, we give some new properties of edge chromatic critical graphs, and give new lower bounds for the average degree of Δ-critical graphs with Δ=11, 12 by the use of these properties.

2000 AMS Subject Classification:

Acknowledgements

The authors would like to express their thanks to the referee for his valuable corrections and suggestions of the manuscript that greatly improve the format and correctness of it. Lian-Ying Miao was supported by Fundamental Research Funds for the Central Universities (2012LWB46) and National Natural Science Foundation of China (11271365). Zheng-Ke Miao was supported by National Natural Science Foundation of China (11171288).

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