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Game matching number of graphs

✍ Scribed by Cranston, Daniel W.; Kinnersley, William B.; O, Suil; West, Douglas B.


Book ID
120376391
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
396 KB
Volume
161
Category
Article
ISSN
0166-218X

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This paper discusses a variation of the game chromatic number of a graph: the game coloring number. This parameter provides an upper bound for the game chromatic number of a graph. We show that the game coloring number of a planar graph is at most 19. This implies that the game chromatic number of a