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On Locally Projective Graphs of Girth 5

✍ Scribed by A.A. Ivanov; Cheryl E. Praeger


Book ID
110264191
Publisher
Springer
Year
1998
Tongue
English
Weight
232 KB
Volume
7
Category
Article
ISSN
0925-9899

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We prove that every planar graph of girth at least 5 is 3-choosable. It is even possible to precolor any 5-cycle in the graph. This extension implies GrΓΆtzsch's theorem that every planar graph of girth at least 4 is 3-colorable. If 1995 Academic Press, Inc.