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Total chromatic number of planar graphs with maximum degree ten

✍ Scribed by Weifan Wang

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 161 KB
Volume: 54
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.20195

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✦ Synopsis

Abstract

📜 SIMILAR VOLUMES

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## Abstract In 1968, Vizing [Uaspekhi Mat Nauk 23 (1968) 117–134; Russian Math Surveys 23 (1968), 125–142] conjectured that for any edge chromatic critical graph ${{G}} = ({{V}}, {{E}})$ with maximum degree $\Delta$, $|{{E}}| \geq {{{1}}\over {{2}}}\{(\Delta {{- 1}})|{{V}}| + {{3}}\}$. This conject

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