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一类图的色等价图类 被引量:1

On the chromatic equivalent classes of a kind of graphs
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摘要 设G是一个图,P(G,λ)是G的色多项式,用[G]p表示以P(G,λ)为其色多项式的所有图的集合,称为图G的色等价类.刻画了[Icm]p,其中Im(m 6)表示路Pm-4的两个端点分别粘接一个P3的2度点后得到的图.Gc表示G的补图. For a graph G, let P( G, λ ) be its chromatic polynomial and [ G]p be the set of graphs having P( G, λ ) as their chromatic polynomial, it is said to be chromatically equivalent class of G. The [ I^cm ] p has been determined, where I^cm is the complement of Im, Im (m≥6) is the graph obtained by identifying each endvertex of Pm-4 with one 2-degree vertex of P3, respectively.
作者 马海成
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2006年第5期33-38,43,共7页 Journal of Shandong University(Natural Science)
基金 教育部科学技术研究重点资助项目(206156)
关键词 色多项式 伴随多项式 色等价 伴随等价 chromatic polynomial adjoint polynomial chromatic equivalent adjoint equivalent
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参考文献10

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共引文献53

同被引文献15

  • 1Birkhoff G D.A determinant formula for the number of ways of coloring a map[J].Annal Math, 1912,14 : 42-46.
  • 2Liu R Y.Adjoint polynomials and chromatically unique graphs[J]. Discrete Math, 1997,172 : 85-92.
  • 3Liu R Y,Zhao L C.A new method for proving chromatic uniqueness of graphs[J].Discrete Math, 1997,171 : 169-177.
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  • 6Dong F M,Teo K L,Little C H C,et al.Chromaticity of some families of dense graphs[J].Discrete Math,2002,258 : 303-321.
  • 7Koh K M,Teo K L.The search for chromatically unique graphs[J].Graphs Combin, 1990,6 : 259-285.
  • 8Ye C F, Li N Z.Ghaphs with chromatic polynomial [J].Discrete Math, 2002,259 : 369-381.
  • 9Zhao H X,Li X L,Zhang S G,et al.On the minimum real root of the σ-polynomial and chromatic uniqueness of graphs[J].Discrete Math, 2004,281 : 277-294.
  • 10Du Q Y.Chromaticity of the complements of paths and cycles[J]. Discrete Math, 1996,162: 109-125.

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