The Fibonacci number of a grid graph and a new class of integer sequences.
Euler, Reinhardt (2005)
Journal of Integer Sequences [electronic only]
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Euler, Reinhardt (2005)
Journal of Integer Sequences [electronic only]
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Kitaev, Sergey (2006)
Journal of Integer Sequences [electronic only]
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Michel Mollard (1990)
Czechoslovak Mathematical Journal
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Isaac Birnbaum, Megan Kuneli, Robyn McDonald, Katherine Urabe, Oscar Vega (2014)
Discussiones Mathematicae Graph Theory
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We discuss how to find the well-covered dimension of a graph that is the Cartesian product of paths, cycles, complete graphs, and other simple graphs. Also, a bound for the well-covered dimension of Kn × G is found, provided that G has a largest greedy independent decomposition of length c < n. Formulae to find the well-covered dimension of graphs obtained by vertex blowups on a known graph, and to the lexicographic product of two known graphs are also given.
Sivasubramanian, Sivaramakrishnan (2010)
The Electronic Journal of Combinatorics [electronic only]
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Anstee, Richard, Ferguson, Ron, Sali, Attila (2001)
The Electronic Journal of Combinatorics [electronic only]
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Pinar, Ali, Chow, Edmond, Pothen, Alex (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Kuperberg, Greg (2002)
The Electronic Journal of Combinatorics [electronic only]
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Bodroža-Pantić, Olga, Tošić, Ratko (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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Almkvist, Gert, Krattenthaler, Christian, Petersson, Joakim (2003)
Experimental Mathematics
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Wang, Jonathan (2010)
The Electronic Journal of Combinatorics [electronic only]
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Alain Guénoche (2008)
RAIRO - Operations Research - Recherche Opérationnelle
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We first describe four recent methods to cluster vertices of an undirected non weighted connected graph. They are all based on very different principles. The fifth is a combination of classical ideas in optimization applied to graph partitioning. We compare these methods according to their ability to recover classes initially introduced in random graphs with more edges within the classes than between them.