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DAM
2006
120views more  DAM 2006»
13 years 12 months ago
A bijection between permutations and floorplans, and its applications
A floorplan represents the relative relations between modules on an integrated circuit. Floorplans are commonly classified as slicing, mosaic, or general. Separable and Baxter per...
Eyal Ackerman, Gill Barequet, Ron Y. Pinter
CORR
2006
Springer
87views Education» more  CORR 2006»
13 years 12 months ago
Longest Common Pattern between two Permutations
In this paper, we give a polynomial (O(n8)) algorithm for finding a longest common pattern between two permutations of size n given that one is separable. We also give an algorithm...
Dominique Rossin, Mathilde Bouvel
COMBINATORICS
2006
137views more  COMBINATORICS 2006»
13 years 12 months ago
Three-Letter-Pattern-Avoiding Permutations and Functional Equations
We present an algorithm for finding a system of recurrence relations for the number of permutations of length n that satisfy a certain set of conditions. A rewriting of these rela...
Ghassan Firro, Toufik Mansour
COMBINATORICS
2006
121views more  COMBINATORICS 2006»
13 years 12 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
COMBINATORICS
2006
133views more  COMBINATORICS 2006»
13 years 12 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
2006
83views more  COMBINATORICS 2006»
13 years 12 months ago
Permutations Generated by a Stack of Depth 2 and an Infinite Stack in Series
We prove that the set of permutations generated by a stack of depth two and an infinite stack in series has a basis (defining set of forbidden patterns) consisting of 20 permutati...
Murray Elder
COMBINATORICS
2006
120views more  COMBINATORICS 2006»
13 years 12 months ago
Cycle Lengths in a Permutation are Typically Poisson
The set of cycle lengths of almost all permutations in Sn are "Poisson distributed": we show that this remains true even when we restrict the number of cycles in the per...
Andrew Granville
IANDC
2008
76views more  IANDC 2008»
13 years 12 months ago
The number of convex permutominoes
Permutominoes are polyominoes defined by suitable pairs of permutations. In this paper we provide a formula to count the number of convex permutominoes of given perimeter. To this ...
Paolo Boldi, Violetta Lonati, Roberto Radicioni, M...
ENDM
2008
75views more  ENDM 2008»
13 years 12 months ago
Baxter permutations and plane bipolar orientations
We present a simple bijection between Baxter permutations of size n and plane bipolar orientations with n edges. This bijection translates several classical parameters of permutati...
Nicolas Bonichon, Mireille Bousquet-Mélou, ...
DM
2008
104views more  DM 2008»
13 years 12 months ago
On edge-weighted recursive trees and inversions in random permutations
We introduce random recursive trees, where deterministically weights are attached to the edges according to the labeling of the trees. We will give a bijection between recursive t...
Markus Kuba, Alois Panholzer