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» A Permutation Regularity Lemma
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128
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JCT
2011
101views more  JCT 2011»
14 years 10 months ago
Almost all triple systems with independent neighborhoods are semi-bipartite
The neighborhood of a pair of vertices u, v in a triple system is the set of vertices w such that uvw is an edge. A triple system H is semi-bipartite if its vertex set contains a ...
József Balogh, Dhruv Mubayi
121
Voted
RSA
2011
126views more  RSA 2011»
14 years 10 months ago
Local resilience of almost spanning trees in random graphs
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
József Balogh, Béla Csaba, Wojciech ...
148
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COMBINATORICS
2002
92views more  COMBINATORICS 2002»
15 years 3 months ago
Pattern Avoidance in Permutations: Linear and Cyclic Orders
: We generalize the notion of pattern avoidance to arbitrary functions on ordered sets, and consider specifically three scenarios for permutations: linear, cyclic and hybrid, the f...
Antoine Vella
121
Voted
JCT
2011
141views more  JCT 2011»
14 years 10 months ago
Bijections for Baxter families and related objects
The Baxter number Bn can be written as Bn = n k=0 Θk,n−k−1 with Θk,ℓ = 2 (k + 1)2 (k + 2) k + ℓ k k + ℓ + 1 k k + ℓ + 2 k . These numbers have first appeared in the...
Stefan Felsner, Éric Fusy, Marc Noy, David ...
TABLEAUX
2005
Springer
15 years 9 months ago
A Tableau Calculus with Automaton-Labelled Formulae for Regular Grammar Logics
We present a sound and complete tableau calculus for the class of regular grammar logics. Our tableau rules use a special feature called automaton-labelled formulae, which are simi...
Rajeev Goré, Linh Anh Nguyen