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两类只含整数根的色多项式 被引量:4

Two families of integral-root chromatic polynomials
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摘要 研究了两类只含整数根的色多项式,给出其相应图G为弦图的必要条件,并完全刻画了G的色等价类[G]. In this paper, two families of integral-root chromatic polynomials are researched. For a graph G with one of above two integral-root chromatic polynomials, a necessary condition for G being a chordal graph is gave; Furthermore, this paper characterizes completely the structure of any graph of the chromatic equivalence class [G].
作者 龚和林 舒情
出处 《纯粹数学与应用数学》 CSCD 北大核心 2008年第3期467-472,共6页 Pure and Applied Mathematics
基金 国家自然科学基金(10561002)
关键词 n-临界图 色多项式 弦图 非弦图 n-critical graph, chordal graph, chromatic polynomial, non-chordal graph
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参考文献8

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二级参考文献1

  • 1刘彦佩,1981年

共引文献10

同被引文献27

  • 1宝音,张秉儒.S^(P(i))类图簇的伴随多项式的因式分解及其色性分析[J].西南师范大学学报(自然科学版),2004,29(4):573-577. 被引量:10
  • 2任海珍,刘儒英.ζ图族伴随多项式最小根的刻画[J].西南师范大学学报(自然科学版),2006,31(3):15-18. 被引量:4
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  • 8SANTOS H, FLORIAN L. Integer Roots Chromatic Polynomials of Non-Chordal Graphs and the Prouhet-Tarry-Escott Problem [J]. Graphs and Combinatorics, 2005, 21(3): 319--323.
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  • 10Dong F M, Koh K M, Teo K L. Chromatic polynomials and chromaticity of graphs [ M ]. Singapore, 2005.

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