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COMBINATORICS
2000
114views more  COMBINATORICS 2000»
15 years 6 months ago
Restricted Permutations, Continued Fractions, and Chebyshev Polynomials
Let fr n(k) be the number of 132-avoiding permutations on n letters that contain exactly r occurrences of 12 . . . k, and let Fr(x; k) and F (x, y; k) be the generating functions d...
Toufik Mansour, Alek Vainshtein
COMBINATORICS
2000
89views more  COMBINATORICS 2000»
15 years 6 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
82views more  COMBINATORICS 2000»
15 years 6 months ago
The Strongly Regular (40, 12, 2, 4) Graphs
In a previous paper it was established that there are at least 27 non-isomorphic strongly regular (40, 12, 2, 4) graphs. Using a different and more efficient method we have re-inv...
Edward Spence
COMBINATORICS
2000
89views more  COMBINATORICS 2000»
15 years 6 months ago
Large Dihedral Symmetry of the Set of Alternating Sign Matrices
We prove a conjecture of Cohn and Propp, which refines a conjecture of Bosley and Fidkowski about the symmetry of the set of alternating sign matrices (ASMs). We examine data aris...
Benjamin Wieland
COMBINATORICS
2002
65views more  COMBINATORICS 2002»
15 years 6 months ago
Sorting with a Forklift
A fork stack is a generalised stack which allows pushes and pops of several items at a time. We consider the problem of determining which input streams can be sorted using a singl...
Michael H. Albert, Mike D. Atkinson