J4 ›› 2009, Vol. 44 ›› Issue (10): 17-20.

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List edge and list total colorings of planar graphs with adjacent triangles

 DONG Ai-Jun, LI Guo-Jun, JU Jing-Song   

  1. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2009-03-24 Online:2009-10-16 Published:2009-12-07

Abstract:

Given a planar graph G,let G,χ´l(G)andχ"l(G)denote the list edge chromatic number and list total chromatic number of  G respectively. It is proved that if a planar graph G withΔ(G)≥7 such that a triangle is adjacent to at most one triangle,then χ´l(G)≤Δ(G)+1and χ"l(G)≤Δ(G)+2

Key words: triangle; list edge chromatic number; list total chromatic number

CLC Number: 

  • O157.5
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