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» On the combinatorics of Galois numbers
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COMBINATORICS
1999
75views more  COMBINATORICS 1999»
15 years 27 days ago
On the Stanley-Wilf Conjecture for the Number of Permutations Avoiding a Given Pattern
Abstract. Consider, for a permutation Sk, the number F(n, ) of permutations in Sn which avoid as a subpattern. The conjecture of Stanley and Wilf is that for every there is a c...
Richard Arratia
DCC
2005
IEEE
16 years 24 days ago
The Combinatorics of Dom de Caen
We give an overview of some of the mathematical results of Dominique de Caen. These include a short proof of K?onig's theorem, results on Tur?an numbers, biclique partitions,...
Edwin R. van Dam
COMBINATORICS
2000
92views more  COMBINATORICS 2000»
15 years 1 months ago
Asymptotics for the Probability of Connectedness and the Distribution of Number of Components
Let n be the fraction of structures of size" n which are connected"; e.g., a the fraction of labeled or unlabeled n-vertex graphshavingone component, b the fraction of p...
Jason P. Bell, Edward A. Bender, Peter J. Cameron,...
CORR
2008
Springer
142views Education» more  CORR 2008»
15 years 1 months ago
Declarative Combinatorics: Boolean Functions, Circuit Synthesis and BDDs in Haskell
We describe Haskell implementations of interesting combinatorial generation algorithms with focus on boolean functions and logic circuit representations. First, a complete exact c...
Paul Tarau
ICALP
2001
Springer
15 years 5 months ago
Combinatorics of Periods in Strings
We consider the set Gn of all period sets of strings of length n over a finite alphabet. We show that there is redundancy in period sets and introduce the notion of an irreducibl...
Eric Rivals, Sven Rahmann