Local condition for planar graphs of maximum degree 7 to be 8-totally colorable - Details

author：

Chang, Gerard Jennhwa (Chang, Gerard Jennhwa.) ^[1] | Hou, Jianfeng (Hou, Jianfeng.) ^[2] | Roussel, Nicolas (Roussel, Nicolas.) ^[3]

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Abstract：

The　total　chromatic　number　of　a　graph　G,　denoted　by　χ″(G),　is　the　minimum　number　of　colors　needed　to　color　the　vertices　and　edges　of　G　such　that　no　two　adjacent　or　incident　elements　get　the　same　color.　It　is　known　that　if　a　planar　graph　G　has　maximum　degree　Δ

Keyword：

Color Graphic methods Graph theory

Community：

[ 1 ] [Chang, Gerard Jennhwa]National Taiwan University, Department of Mathematics, Taipei 10617, Taiwan
[ 2 ] [Chang, Gerard Jennhwa]Institute for Mathematical Sciences, National Taiwan University, Taipei 10617, Taiwan
[ 3 ] [Chang, Gerard Jennhwa]National Center for Theoretical Sciences, Taipei, Taiwan
[ 4 ] [Hou, Jianfeng]Center for Discrete Mathematics, Fuzhou University, Fuzhou, Fujian, 350002, China
[ 5 ] [Roussel, Nicolas]National Taiwan University, Department of Mathematics, Taipei 10617, Taiwan
[ 6 ] [Roussel, Nicolas]National Center for Theoretical Sciences, Taipei, Taiwan

Reprint 's Address：

Email：

nrous.taipei@gmail.com

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Source ：

Discrete Applied Mathematics

ISSN： 0166-218X

Year： 2011

Issue： 8

Volume： 159

Page： 760-768

0 . 7 9 5

JCR@2011

1 . 0 0 0

JCR@2023

JCR Journal Grade：2

CAS Journal Grade：3

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SCOPUS Cited Count：

ESI Highly Cited Papers on the List： 0 Unfold All

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Chinese Cited Count：

30 Days PV： 3

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