| 图簇G(1,rpn)的伴随多项式的恒等式及其因式分解 |
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| 引用本文： | 宝音.图簇G(1,rpn)的伴随多项式的恒等式及其因式分解[J].安庆师范学院学报(自然科学版),2008,14(3). |
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| 作者姓名： | 宝音 |
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| 作者单位： | 青海民族学院,蒙学系,青海,西宁,810007 |
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| 摘 要： | 通过研究图的伴随多项式的重要恒等式与因式分解,将图Grpn推广到G(1,rpn),并证明了图簇G(1,rpn)的伴随多项式的重要恒等式,据此讨论了G(1,rpn)类图簇的伴随多项式的因式分解问题,给出并证明了它们的补图的色等价图的结构特征。
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| 关 键 词： | 色多项式 伴随多项式 因式分解 色等价 恒等式 |
Identities of Adjoint Polynomials of Graphs Cluster of G_(1,rp_n) and Its Factorizations |
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| BAO Yin.Identities of Adjoint Polynomials of Graphs Cluster of G_(1,rp_n) and Its Factorizations[J].Journal of Anqing Teachers College(Natural Science Edition),2008,14(3). |
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| Authors: | BAO Yin |
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| Institution: | BAO Yin(Dept.Mongol.Qinghai National College,Xining 810007,China) |
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| Abstract: | By studying important identities and factorizations of adjoint polynomials of graph,the graph Grp can be improved on the graph G(1,rpn).The important identity of adjoint polynomials of graph G(1,rpn) is proved.Furthermore,the factorization problem of adjoint polynomials of the G(1,rpn)-class graph is discussed,and the structure characteristics of the equivalent color graphs of their complements are presented. |
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| Keywords: | Chromatic polynomial Adjoint polynomial Factorization Chromatically equivalence identity |
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