Decomposing infinite 2-connected graphs into 3-connected components.
Richter, R. Bruce (2004)
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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Bohdan Zelinka (1981)
Časopis pro pěstování matematiky
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Mark Johnson (1987)
Czechoslovak Mathematical Journal
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Georgakopoulos, Agelos (2009)
The Electronic Journal of Combinatorics [electronic only]
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Hartmann, Sven, Little, C.H.C. (2005)
The Electronic Journal of Combinatorics [electronic only]
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J. Chartonik, S. Miklos (1981)
Fundamenta Mathematicae
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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.