On vertex, edge, and vertex-edge random graphs.
Beer, Elizabeth, Fill, James Allen, Janson, Svante, Scheinerman, Edward R. (2011)
The Electronic Journal of Combinatorics [electronic only]
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Beer, Elizabeth, Fill, James Allen, Janson, Svante, Scheinerman, Edward R. (2011)
The Electronic Journal of Combinatorics [electronic only]
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Reilly, Elizabeth Perez, Scheinerman, Edward R. (2009)
The Electronic Journal of Combinatorics [electronic only]
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Sarah Artmann, Jochen Harant (2010)
Discussiones Mathematicae Graph Theory
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Using multilinear functions and random procedures, new upper bounds on the domination number of a bipartite graph in terms of the cardinalities and the minimum degrees of the two colour classes are established.
Amini, Hamed (2010)
The Electronic Journal of Combinatorics [electronic only]
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József Bukor (1993)
Mathematica Slovaca
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Spöhel, Reto, Steger, Angelika, Thomas, Henning (2010)
The Electronic Journal of Combinatorics [electronic only]
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Molloy, Michael, Reed, Bruce (1999)
The Electronic Journal of Combinatorics [electronic only]
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Alain Guénoche (2009)
RAIRO - Operations Research
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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.
Cain, Julie, Wormald, Nicholas (2006)
The Electronic Journal of Combinatorics [electronic only]
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Song Liang, Nobuaki Obata, Shuji Takahashi (2007)
Banach Center Publications
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Motivated by the Watts-Strogatz model for a complex network, we introduce a generalization of the Erdős-Rényi random graph. We derive a combinatorial formula for the moment sequence of its spectral distribution in the sparse limit.
Ádám Timár (2014)
Annales de l'I.H.P. Probabilités et statistiques
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We present a random automorphism-invariant subgraph of a Cayley graph such that with probability 1 its exponential growth rate does not exist.