Induced subgraphs in sparse random graphs with given degree sequences
نویسندگان
چکیده
منابع مشابه
Induced subgraphs in sparse random graphs with given degree sequences
Let Gn,d denote the uniformly random d-regular graph on n vertices. For any S ⊂ [n], we obtain estimates of the probability that the subgraph of Gn,d induced by S is a given graph H. The estimate gives an asymptotic formula for any d = o(n1/3), provided that H does not contain almost all the edges of the random graph. The result is further extended to the probability space of random graphs with...
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Let Gn,d denote the uniformly random d-regular graph on n vertices. For any S ⊂ [n], we obtain estimates of the probability that the subgraph of Gn,d induced by S is a given graph H. The estimate gives an asymptotic formula for any d = o(n1/3), provided that H does not contain almost all the edges of the random graph. The result is further extended to the probability space of random graphs with...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2012
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2012.01.009