应用数学学报  2005, Vol. 28 Issue (1): 86-99    DOI:
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(1)北京理工大学应用数学系, 北京;(2)湘潭工学院数理系
CIRCULAR CHROMATIC NUMBERS OF GENERALIZED ODD WHEELS
Xiao Xia YANG(1),Jian Xiang LI(2)
(1)Department of Applied Mathematics,Beijing Institute of Technology;(2)Department of mathematics and physics,Xiangtan Polytechnic University
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Abstract： The circular chromatic number(also called the star chromatic number)$\ssize \chi_c(G)$ of a graph G is a natural generalization of the chromatic number of a graph which was introduced by Vince in 1988. In this paper, we construct a family of planar graphs with circular chromatic number just between 2 and 3 based on odd wheels, thus we filled the space of this field.