The Multistate Hard Core Model on a Regular Tree
نویسندگان
چکیده
منابع مشابه
The Multistate Hard Core Model on a Regular Tree
The classical hard core model from statistical physics, with activity λ > 0 and capacity C = 1, on a graph G, concerns a probability measure on the set I(G) of independent sets of G, with the measure of each independent set I ∈ I(G) being proportional to λ|I|. Ramanan et al. proposed a generalization of the hard core model as an idealized model of multicasting in communication networks. In this...
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The classical hard core model from statistical physics, with activity λ > 0 and capacity C = 1, on a graph G, concerns a probability measure on the set I(G) of independent sets of G, with the measure of each independent set I ∈ I(G) being proportional to λ|I|. When G is a (b + 1)-regular tree, a generalization of the hard core model that has capacity C larger than one was studied by Mitra et al...
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ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 2011
ISSN: 0895-4801,1095-7146
DOI: 10.1137/09075514x