Title of article :
On computing boundary functional sums Original Research Article
Author/Authors :
A method for solving enumeration problems is suggested. We consider the enumeration problems which are reducible to estimation of the sums of type T(X، نويسنده , , f)=?Af(A) where f is so called boundary functional (BF) on X، نويسنده , , and the summation is over all subsets of X (or over some special subfamily of 2X). An evolution of the n-cube، نويسنده , , the percolation problem، نويسنده , , the problem of computation of the matchings number and the independent sets number، نويسنده , , the monotone Boolean functions number، نويسنده , , the binary codes number and so on are among such problems. We show how to obtain asymptotics for T(X، نويسنده , , f). In conclusion we give an example of application of the BF method to finding the number of independent sets in the bipartite graphs، نويسنده , , induced by neighbouring levels of the n-cube.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2000
Pages :
8
From page :
253
To page :
260
Abstract :
A.A. Sapozhenko
Keywords :
Expander , Boundary functional , Independent set
Journal title :
Discrete Mathematics
Serial Year :
2000
Journal title :
Discrete Mathematics
Record number :
950332
Link To Document :
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