史小藝，張寧，薛婷婷

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圖的色數(shù)與著色數(shù)的上界

史小藝，張寧，薛婷婷

（中國礦業(yè)大學(xué) 理學(xué)院，江蘇 徐州 221116）

無向圖；色數(shù)；著色數(shù)；圍長

1 主要引理

2 主要結(jié)果

[1] JENSEN T R, TOFE B. Graph coloring problems[M]. New York: John Wiley &Sons, 1995.

[2] CHUNG F. Open problems of Paul Erdos in graph theory[J]. J Graph Theory, 1997, 25: 3-36.

[3] SPENCER J. Asymptotic lower bounds for Ramsey functions[J]. Discrete Math, 1997, 20: 69-76.

[4] ZAKER M. New bounds for the chromatic number of graphs[J]. J Graph Theory, 2008, 58: 110-122.

[5] EROS P, HAJNAL A. Chromatic number of finite and infinite graphs[J]. Discrete Math, 1985, 53: 281-285.

[6] ZAKER M. Bounds for chromatic number in terms of even-girth and booksize[J]. Discrete mathematics, 2011, 311: 259-270.

Bounds for Chromatic and Coloring Number of Graphs

SHIXiao-yi, ZHANGNing, XUETing-ting

(College of Sciences, China University of Mining and Technology, Xuzhou 221008, China)

undirected graph; chromatic number; coloring number; girth

1006-7302（2012）02-0015-03

O157.5

A

2011-10-21

中央高?；究蒲袠I(yè)務(wù)費(fèi)專項(xiàng)基金資助（2010LKSX06）

史小藝（1986—），女，江蘇沛縣人，在讀碩士生，研究方向?yàn)閳D論及其應(yīng)用.