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《Journal of Northeast Normal University (Natural Science Edition)》 2005-01
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A generalization of Vizing's theorem of domination

QI Deng-ji,LIANG Xi-quan (Department of Mathematics and Physics,Qingdao University of Science and Technology,Qingdao 266061,China)  
Let G be a simple graph with n vertices and q edges,and maximum degree Δ. It is proved that the domination number γ of G satisfies:q≤?[(n-γ)(n-γ+2)-Δ(2n-2γ-3Δ+2)]/ 2」. Moreover, the extremal graphs are characterized for which the equality hold.Vizing's theorem is generalized.
【Fund】: 国家自然科学基金资助项目(19971034)
【CateGory Index】: O157.5
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