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» Combinatorics of diagrams of permutations
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CORR
2008
Springer
142views Education» more  CORR 2008»
13 years 9 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
DCG
2008
93views more  DCG 2008»
13 years 9 months ago
Metric Combinatorics of Convex Polyhedra: Cut Loci and Nonoverlapping Unfoldings
Let S be the boundary of a convex polytope of dimension d + 1, or more generally let S be a convex polyhedral pseudomanifold. We prove that S has a polyhedral nonoverlapping unfold...
Ezra Miller, Igor Pak
COMBINATORICS
2000
114views more  COMBINATORICS 2000»
13 years 9 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
2002
73views more  COMBINATORICS 2002»
13 years 9 months ago
Prefix Exchanging and Pattern Avoidance by Involutions
Let In() denote the number of involutions in the symmetric group Sn which avoid the permutation . We say that two permutations , Sj may be exchanged if for every n, k, and order...
Aaron D. Jaggard
COMBINATORICS
2006
121views more  COMBINATORICS 2006»
13 years 9 months ago
Permutation Reconstruction from Minors
We consider the problem of permutation reconstruction, which is a variant of graph reconstruction. Given a permutation p of length n, we delete k of its entries in each possible w...
Mariana Raykova