Continuous and discontinuous phase transitions in hypergraph processes
نویسندگان
چکیده
منابع مشابه
Continuous and discontinuous phase transitions in hypergraph processes
Let V denote a set of N vertices. To construct a hypergraph process, create a new hyperedge at each event time of a Poisson process; the cardinality K of this hyperedge is random, with generating function ρ(x) def = ∑ ρkx , where P (K = k) = ρk; given K = k, the k vertices appearing in the new hyperedge are selected uniformly at random from V . Assume ρ1 + ρ2 > 0. Hyperedges of cardinality 1 ar...
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Let V denote a set of N vertices. To construct a hypergraph process, create a new hyperedge at each event time of a Poisson process; the cardinality K of this hyperedge is random, with generating function ρ(x) def = ∑ ρkx , where P (K = k) = ρk; given K = k, the k vertices appearing in the new hyperedge are selected uniformly at random from V . Assume ρ1 + ρ2 > 0. Hyperedges of cardinality 1 ar...
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a Advanced Photon Source Argonne National Laboratory 9700 S. Cass Avenue Argonne, Illinois 60439, USA b James Franck Institute and Department of Physics The University of Chicago 929 E 57 Street Chicago, Illinois 60637, USA c Department of Physics and Astronomy McMaster University 1280 Main St. W, Hamilton Hamilton, Ontario, L8S 4M1, Canada and Canadian Institute for Advanced Research 180 Dunda...
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ژورنال
عنوان ژورنال: Random Structures and Algorithms
سال: 2004
ISSN: 1042-9832,1098-2418
DOI: 10.1002/rsa.20013