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ÌâÄ¿£ºTotal Colorings of Planar Graphs With Maximum Degree Seven  and Without 3-cycles Adjacent to 5-cycles

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Accession number:  20120114656129

Title:  Total colorings of planar graphs with maximum degree seven and without 3-cycles adjacent to 5-cycles

Authors:  Liu, Guangde1 ; Wang, Bing1, 2 ; Wu, Jian-Liang2  

Author affiliation:  1  Department of Mathematics, Zaozhuang University, Zaozhuang, 277160, China

2  School of Mathematics, Shandong University, Jinan, 250100, China


Corresponding author:  Liu, G. (lgd@uzz.edu.cn)  

Source title:  Advances in Intelligent and Soft Computing

Abbreviated source title:  Adv. Intell. Soft Comput.

Volume:  122

Monograph title:  Foundations of Intelligent Systems: Proceedings of the Sixth International Conference on Intelligent Systems and Knowledge Engineering, Shanghai, China, Dec 2011 (ISKE2011)

Issue date:  2011

Publication year:  2011

Pages:  335-342

Language:  English

ISSN:  18675662

ISBN-13:  9783642256639

Document type:  Conference article (CA)

Publisher:  Springer Verlag, Tiergartenstrasse 17, Heidelberg, D-69121, Germany

Abstract:  Let G be a planar graph with maximum degree ¦¤ ¡Ý 7 and without 3-cycles adjacent to 4-cycles, that is, any 3-cycle has not a common edge with a 5-cycle. Then the total chromatic number of G is ¦¤ + 1. © 2011 Springer-Verlag Berlin Heidelberg.

Number of references:  12

Main heading:  Graph theory

Controlled terms:  Graphic methods  -  Intelligent systems  -  Knowledge engineering

Uncontrolled terms:  Cycle  -  Maximum degree  -  Planar graph  -  Total chromatic number  -  Total coloring

Classification code:  723.4 Artificial Intelligence  -  723.5 Computer Applications  -  921.4 Combinatorial Mathematics, Includes Graph Theory, Set Theory

DOI:  10.1007/978-3-642-25664-6_39

Database:  Compendex
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Accession number:  20120114656129

Title:  Total colorings of planar graphs with maximum degree seven and without 3-cycles adjacent to 5-cycles

Authors:  Liu, Guangde1 ; Wang, Bing1, 2 ;  ...

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