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» On the combinatorics of Galois numbers
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COMBINATORICS
2006
115views more  COMBINATORICS 2006»
14 years 12 months ago
Chains, Subwords, and Fillings: Strong Equivalence of Three Definitions of the Bruhat Order
Let Sn be the group of permutations of [n] = {1, . . . , n}. The Bruhat order on Sn is a partial order relation, for which there are several equivalent definitions. Three well-kno...
Catalin Zara
COMBINATORICS
2007
99views more  COMBINATORICS 2007»
14 years 11 months ago
Permutations Without Long Decreasing Subsequences and Random Matrices
We study the shape of the Young diagram λ associated via the Robinson– Schensted–Knuth algorithm to a random permutation in Sn such that the length of the longest decreasing ...
Piotr Sniady
COMBINATORICS
2007
77views more  COMBINATORICS 2007»
14 years 11 months ago
On the Genus Distribution of (p, q, n)-Dipoles
There are many applications of the enumeration of maps in surfaces to other areas of mathematics and the physical sciences. In particular, in quantum field theory and string theo...
Terry I. Visentin, Susana W. Wieler
COMBINATORICS
2004
129views more  COMBINATORICS 2004»
14 years 11 months ago
Operations on Well-Covered Graphs and the Roller-Coaster Conjecture
A graph G is well-covered if every maximal independent set has the same cardinality. Let sk denote the number of independent sets of cardinality k, and define the independence pol...
Philip Matchett
COMBINATORICS
2000
72views more  COMBINATORICS 2000»
14 years 11 months ago
Tournament Sequences and Meeussen Sequences
A tournament sequence is an increasing sequence of positive integers (t1, t2, . . .) such that t1 = 1 and ti+1 2ti. A Meeussen sequence is an increasing sequence of positive inte...
Matthew Cook, Michael Kleber