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» Combinatorics of diagrams of permutations
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COMBINATORICS
1999
85views more  COMBINATORICS 1999»
13 years 9 months ago
Permutation Patterns and Continued Fractions
We find, in the form of a continued fraction, the generating function for the number of (132)-avoiding permutations that have a given number of (123) patterns, and show how to ext...
Aaron Robertson, Herbert S. Wilf, Doron Zeilberger
DCC
2005
IEEE
14 years 9 months 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
2007
87views more  COMBINATORICS 2007»
13 years 9 months ago
Recognizing Cluster Algebras of Finite Type
We compute the list of all minimal 2-infinite diagrams, which are cluster algebraic analogues of extended Dynkin graphs.
Ahmet I. Seven
COMBINATORICS
2006
133views more  COMBINATORICS 2006»
13 years 9 months ago
Completion of the Wilf-Classification of 3-5 Pairs Using Generating Trees
A permutation is said to avoid the permutation if no subsequence in has the same order relations as . Two sets of permutations 1 and 2 are Wilfequivalent if, for all n, the numb...
Mark Lipson
COMBINATORICS
2002
113views more  COMBINATORICS 2002»
13 years 9 months ago
Longest Increasing Subsequences in Pattern-Restricted Permutations
Inspired by the results of Baik, Deift and Johansson on the limiting distribution of the lengths of the longest increasing subsequences in random permutations, we find those limit...
Emeric Deutsch, A. J. Hildebrand, Herbert S. Wilf