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On 3-colorable planar graphs without short cycles

Authors :
Chen, Min
Wang, Weifan
Source :
Applied Mathematics Letters. Sep2008, Vol. 21 Issue 9, p961-965. 5p.
Publication Year :
2008

Abstract

Abstract: In this paper, we prove that planar graphs without -cycles and without two 5-cycles sharing exactly one edge are 3-colorable. This improves the result in [O.V. Borodin, A.N. Glebov, A. Raspaud, M.R. Salavatipour, Planar graphs without cycles of length from 4 to 7 are 3-colorable, J. Combin. Theory Ser. B 93 (2005) 303–311]. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
08939659
Volume :
21
Issue :
9
Database :
Academic Search Index
Journal :
Applied Mathematics Letters
Publication Type :
Academic Journal
Accession number :
33343687
Full Text :
https://doi.org/10.1016/j.aml.2007.10.010