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Motif based hierarchical random graphs: structural properties and critical points of an Ising model
amenability degree distribution clustering small-world graph Ising model critical point
2011/7/26
Motif based hierarchical random graphs: structural properties and critical points of an Ising model.
Motif based hierarchical random graphs: structural properties and critical points of an Ising model
amenability, degree distribution, clustering, small-world graph, Ising model, critical point
2011/9/15
A class of random graphs is introduced and studied. The graphs are constructed in an algorithmic way from five motifs which were found in [Milo R., Shen-Orr S., Itzkovitz S., Kashtan N., Chklovskii D....
Phase transitions for the cavity approach to the clique problem on random graphs
Phase transitions the cavity graphs
2010/11/17
We give a rigorous proof of two phase transitions for a disordered system designed to find large cliques inside Erdos random graphs. Such a system is associated with a conservative probabilistic cellu...