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The circuit polynomial of the restricted rooted product G (Gamma) of graphs with a bipartite core G

机译:具有二分中心G的图的受限根积G(Gamma)的电路多项式

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As an instance of the B-polynomial, the circuit, or cycle, polynomial P (G (Gamma); w) of the generalized rooted product G (Gamma) of graphs was studied by Farrell and Rosenfeld [Block and articulation node polynomials of the generalized rooted product of graphs, J. of Math. Sci. (India) 11(1) (2000) 35-47] and Rosenfeld and Diudea [The block polynomials and block spectra of dendrimers, Internet Electron. J. Mol. Design](3) (2002) 142-156]. In both cases, the rooted product G(F) was considered without any restrictions on graphs G and F. Herein, we present a new general result and its corollaries concerning the case when the core graph G is restricted to be bipartite. (C) 2007 Elsevier B.V. All rights reserved.
机译:Farrell和Rosenfeld研究了图的广义根乘积G(Gamma)的B多项式,电路或循环的多项式P(G(Gamma); w)[Block和关节节点多项式图的广义根乘积,数学杂志。科学(印度)11(1)(2000)35-47]和Rosenfeld和Diudea [树枝状聚合物的嵌段多项式和嵌段光谱,Internet电子。 J.摩尔设计](3)(2002)142-156]。在这两种情况下,都考虑了根乘积G(F)对图G和F的任何限制。在此,我们给出了一个新的一般结果及其推论,涉及到核心图G被限制为二部图的情况。 (C)2007 Elsevier B.V.保留所有权利。

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