The mean chromatic number of a graph is defined. This is a measure of the expected performance of the greedy vertex-colouring algorithm when each ordering of the vertices is equally likely. In this note, we analyse the asymptotic behaviour of the mean chromatic number for the paths and even cycles, using generating function techniques.
机构:
School of Finance, Anhui University of Finance and Economics, Bengbu,233030, ChinaSchool of Finance, Anhui University of Finance and Economics, Bengbu,233030, China
Xia, Zheng-Jiang
Hong, Zhen-Mu
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School of Finance, Anhui University of Finance and Economics, Bengbu,233030, ChinaSchool of Finance, Anhui University of Finance and Economics, Bengbu,233030, China
机构:
Department of Mathematics, East China Normal UniversityDepartment of Mathematics, East China Normal University
Chen L.
Lü C.
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Department of Mathematics, East China Normal University
Institute of Theoretical Computing, East China Normal UniversityDepartment of Mathematics, East China Normal University
Lü C.
Ye Y.
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Department of Mathematics, Huaibei Coal Industry Teachers CollegeDepartment of Mathematics, East China Normal University