Contribution to the problem of the spectra of compound graphs.
I. Gutman (1978)
Publications de l'Institut Mathématique [Elektronische Ressource]
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I. Gutman (1978)
Publications de l'Institut Mathématique [Elektronische Ressource]
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I. Gutman, Olga Miljković, B. Zhou, M. Petrović (2006)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Gillman, Richard Alan (1995)
International Journal of Mathematics and Mathematical Sciences
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Courcelle, Bruno (2008)
The Electronic Journal of Combinatorics [electronic only]
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Araujo, Oswaldo, Estrada, Mario, Morales, Daniel A., Rada, Juan (2005)
International Journal of Mathematics and Mathematical Sciences
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Beezer, Robert A., Farrell, E.J. (2000)
International Journal of Mathematics and Mathematical Sciences
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Hagos, Elias M. (2000)
The Electronic Journal of Combinatorics [electronic only]
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Ashrafi, A., Ghorbani, M., Hossein-Zadeh, M. (2011)
Serdica Journal of Computing
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The eccentric connectivity index of a graph G, ξ^C, was proposed by Sharma, Goswami and Madan. It is defined as ξ^C(G) = ∑ u ∈ V(G) degG(u)εG(u), where degG(u) denotes the degree of the vertex x in G and εG(u) = Max{d(u, x) | x ∈ V (G)}. The eccentric connectivity polynomial is a polynomial version of this topological index. In this paper, exact formulas for the eccentric connectivity polynomial of Cartesian product, symmetric difference, disjunction and join of graphs are presented. ...
Matchett, Philip (2004)
The Electronic Journal of Combinatorics [electronic only]
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Chen, Shubo (2011)
International Journal of Mathematics and Mathematical Sciences
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M. Tavakoli, F. Rahbarnia, A. R. Ashrafi (2013)
Kragujevac Journal of Mathematics
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Hossein-Zadeh, S., Hamzeh, A., Ashrafi, A. (2012)
Serdica Journal of Computing
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Let G1 = (V1, E1) and G2 = (V2, E2) be two graphs having a distinguished or root vertex, labeled 0. The hierarchical product G2 ⊓ G1 of G2 and G1 is a graph with vertex set V2 × V1. Two vertices y2y1 and x2x1 are adjacent if and only if y1x1 ∈ E1 and y2 = x2; or y2x2 ∈ E2 and y1 = x1 = 0. In this paper, the Wiener, eccentric connectivity and Zagreb indices of this new operation of graphs are computed. As an application, these topological indices for a class of alkanes are computed. ACM...
Gutman, Ivan (1991)
Publications de l'Institut Mathématique. Nouvelle Série
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Gutman, Ivan (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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