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COMBINATORICS
2000
89views more  COMBINATORICS 2000»
13 years 9 months ago
A Note on the Non-Colorability Threshold of a Random Graph
In this paper we consider the problem of establishing a value r0 such that almost all random graphs with n vertices and rn edges, r > r0, are asymptotically not 3-colorable. In...
Alexis C. Kaporis, Lefteris M. Kirousis, Yannis C....
COMBINATORICS
2000
92views more  COMBINATORICS 2000»
13 years 9 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,...
COMBINATORICS
2000
129views more  COMBINATORICS 2000»
13 years 9 months ago
Combinatorial statistics on type-B analogues of noncrossing partitions and restricted permutations
We define type-B analogues of combinatorial statistics previously studied on noncrossing partitions and show that analogous equidistribution and symmetry properties hold in the ca...
Rodica Simion
COMBINATORICS
2007
164views more  COMBINATORICS 2007»
13 years 9 months ago
Longest Alternating Subsequences in Pattern-Restricted Permutations
We determine the limiting distributions of the longest alternating subsequence for pattern-restricted permutations in which the pattern is any one of the six patterns of length th...
Ghassan Firro, Toufik Mansour, Mark C. Wilson
COMBINATORICS
2000
96views more  COMBINATORICS 2000»
13 years 9 months ago
Automorphisms and Enumeration of Switching Classes of Tournaments
Two tournaments T1 and T2 on the same vertex set X are said to be switching equivalent if X has a subset Y such that T2 arises from T1 by switching all arcs between Y and its comp...
László Babai, Peter J. Cameron