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CORR
2010
Springer
106views Education» more  CORR 2010»
15 years 6 months ago
Symmetry within Solutions
We define the concept of an internal symmetry. This is a symmety within a solution of a constraint satisfaction problem. We compare this to solution symmetry, which is a mapping b...
Marijn Heule, Toby Walsh
DM
2008
97views more  DM 2008»
15 years 6 months ago
On uniquely k-determined permutations
Motivated by a new point of view to study occurrences of consecutive patterns in permutations, we introduce the notion of uniquely k-determined permutations. We give two criteria f...
Sergey V. Avgustinovich, Sergey Kitaev
COMBINATORICA
2006
69views more  COMBINATORICA 2006»
15 years 6 months ago
Distance Sequences In Locally Infinite Vertex-Transitive Digraphs
We prove that the out-distance sequence {f+ (k)} of a vertex-transitive digraph of finite or infinite degree satisfies f+ (k + 1) f+ (k)2 for k 1, where f+ (k) denotes the numbe...
Wesley Pegden
DAM
2006
97views more  DAM 2006»
15 years 6 months ago
Fully dynamic recognition algorithm and certificate for directed cographs
This paper presents an optimal fully dynamic recognition algorithm for directed cographs. Given the modular decomposition tree of a directed cograph G, the algorithm supports arc ...
Christophe Crespelle, Christophe Paul
DM
2007
78views more  DM 2007»
15 years 6 months ago
Properties of vertex cover obstructions
We study properties of the sets of minimal forbidden minors for the families of graphs having a vertex cover of size at most k. We denote this set by O(k-VERTEX COVER) and call it...
Michael J. Dinneen, Rongwei Lai