On an inequality of Diananda.
Gao, Peng (2003)
International Journal of Mathematics and Mathematical Sciences
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Gao, Peng (2003)
International Journal of Mathematics and Mathematical Sciences
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Marián Klešč, Jana Petrillová (2013)
Discussiones Mathematicae Graph Theory
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The crossing numbers of Cartesian products of paths, cycles or stars with all graphs of order at most four are known. For the path Pn of length n, the crossing numbers of Cartesian products G⃞Pn for all connected graphs G on five vertices are also known. In this paper, the crossing numbers of Cartesian products G⃞Pn for graphs G of order six are studied. Let H denote the unique tree of order six with two vertices of degree three. The main contribution is that the crossing number of the...
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...
Banks, John, Mitchem, John (1982)
International Journal of Mathematics and Mathematical Sciences
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Alzoubi, Maref Y., Jaradat, M.M.M. (2005)
International Journal of Mathematics and Mathematical Sciences
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Hanyuan Deng, Slavko Radenković, Ivan Gutman (2009)
Zbornik Radova
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Ivan Gutman, Hanyuan Deng, Slavko Radenković (2011)
Zbornik Radova
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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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Frank Harary, Michael Plantholt (1985)
Mathematica Slovaca
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