Enumerative problems inspired by Mayer's theory of cluster integrals.
Leroux, Pierre (2004)
The Electronic Journal of Combinatorics [electronic only]
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Leroux, Pierre (2004)
The Electronic Journal of Combinatorics [electronic only]
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Chapuy, Guillaume, Fusy, Éric, Kang, Mihyun, Shoilekova, Bilyana (2008)
The Electronic Journal of Combinatorics [electronic only]
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Bender, Edward A., Gao, Zhicheng, Wormald, Nicholas C. (2002)
The Electronic Journal of Combinatorics [electronic only]
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Saenpholphat, Varaporn, Zhang, Ping (2004)
International Journal of Mathematics and Mathematical Sciences
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Tedford, Steven J. (2007)
The Electronic Journal of Combinatorics [electronic only]
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Gessel, Ira M., Jayawant, Pallayi (2005)
The Electronic Journal of Combinatorics [electronic only]
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Bodirsky, Manuel, Fusy, Eric, Kang, Mihyun, Vigerske, Stefan (2007)
The Electronic Journal of Combinatorics [electronic only]
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Wiseman, Gus (2005)
The Electronic Journal of Combinatorics [electronic only]
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Richter, R. Bruce (2004)
The Electronic Journal of Combinatorics [electronic only]
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Schocker, Manfred (2001)
Publications de l'Institut Mathématique. Nouvelle Série
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Arnfried Kemnitz, Jakub Przybyło, Ingo Schiermeyer, Mariusz Woźniak (2013)
Discussiones Mathematicae Graph Theory
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An edge-coloured connected graph G = (V,E) is called rainbow-connected if each pair of distinct vertices of G is connected by a path whose edges have distinct colours. The rainbow connection number of G, denoted by rc(G), is the minimum number of colours such that G is rainbow-connected. In this paper we prove that rc(G) ≤ k if |V (G)| = n and for all integers n and k with n − 6 ≤ k ≤ n − 3. We also show that this bound is tight.