Threshold phenomena in random structures
نویسندگان
چکیده
منابع مشابه
Threshold phenomena in random structures
The physical theory of phase transition explains sudden changes of phase in materials that undergo gradual changes of some parameter like temperature. There are analogs of phase transition in the theory of random graphs, initiated by ErdGs and Renyi. This paper gives a nontechnical but precise account, without proofs, of some of the beautiful discoveries of Erdijs and RCnyi about threshold phen...
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An additive decomposition of a set I of nonnegative integers is an expression of I as the arithmetic sum of two other such sets. If the smaller of these has p elements, we have a p-decomposition. If I is obtained by randomly removing nα integers from {0, ..., n − 1}, decomposability translates into a balls-and-urns problem which we start to investigate (for large n) by first showing that the nu...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1988
ISSN: 0166-218X
DOI: 10.1016/0166-218x(88)90008-x