Enumerative problems inspired by Mayer's theory of cluster integrals.
Leroux, Pierre (2004)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Combinatorics and cluster expansions.”
Enumerative problems inspired by Mayer's theory of cluster integrals.
A complete grammar for decomposing a family of graphs into 3-connected components.
Chapuy, Guillaume, Fusy, Éric, Kang, Mihyun, Shoilekova, Bilyana (2008)
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The number of labeled 2-connected planar graphs.
Bender, Edward A., Gao, Zhicheng, Wormald, Nicholas C. (2002)
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Saenpholphat, Varaporn, Zhang, Ping (2004)
International Journal of Mathematics and Mathematical Sciences
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Connectivity of the lifts of a greedoid.
Tedford, Steven J. (2007)
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A triple lacunary generating function for Hermite polynomials.
Gessel, Ira M., Jayawant, Pallayi (2005)
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Enumeration and asymptotic properties of unlabeled outerplanar graphs.
Bodirsky, Manuel, Fusy, Eric, Kang, Mihyun, Vigerske, Stefan (2007)
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A partition of connected graphs.
Wiseman, Gus (2005)
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Decomposing infinite 2-connected graphs into 3-connected components.
Richter, R. Bruce (2004)
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On degree sequences of graphs with given cyclomatic number.
Schocker, Manfred (2001)
Publications de l'Institut Mathématique. Nouvelle Série
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Rainbow Connection In Sparse Graphs
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.