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JCT
2007
90views more  JCT 2007»
13 years 7 months ago
Enumeration problems for classes of self-similar graphs
We describe a general construction principle for a class of self-similar graphs. For various enumeration problems, we show that this construction leads to polynomial systems of rec...
Elmar Teufl, Stephan Wagner
COMBINATORICS
1999
87views more  COMBINATORICS 1999»
13 years 7 months ago
Multivariate Asymptotics for Products of Large Powers with Applications to Lagrange Inversion
An asymptotic estimate is given for the coefficients of products of large powers of generating functions. This theorem and another local limit theorem which is useful for conditio...
Edward A. Bender, L. Bruce Richmond
FFA
2006
120views more  FFA 2006»
13 years 8 months ago
Enumerating permutation polynomials over finite fields by degree II
This note is a continuation of a paper by the same authors that appeared in 2002 in the same journal. First we extend the method of the previous paper proving an asymptotic formul...
Sergei Konyagin, Francesco Pappalardi
GLOBECOM
2007
IEEE
14 years 2 months ago
Ensemble Enumerators for Protograph-Based Generalized LDPC Codes
— Protograph-based LDPC codes have the advantages of a simple design (or search) procedure and highly structured encoders and decoders. These advantages have also been exploited ...
Shadi Abu-Surra, William E. Ryan, Dariush Divsalar
COMBINATORICS
2004
112views more  COMBINATORICS 2004»
13 years 7 months ago
Airy Phenomena and Analytic Combinatorics of Connected Graphs
Until now, the enumeration of connected graphs has been dealt with by probabilistic methods, by special combinatorial decompositions or by somewhat indirect formal series manipula...
Philippe Flajolet, Bruno Salvy, Gilles Schaeffer