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COMBINATORICA
2006
69views more  COMBINATORICA 2006»
14 years 16 days 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
COMBINATORICA
2006
55views more  COMBINATORICA 2006»
14 years 16 days ago
Lifts, Discrepancy and Nearly Optimal Spectral Gap*
Yonatan Bilu, Nathan Linial
COMBINATORICA
2006
70views more  COMBINATORICA 2006»
14 years 16 days ago
Decomposing Berge Graphs Containing No Proper Wheel, Long Prism Or Their Complements
In this paper we show that, if G is a Berge graph such that neither G nor its complement G contains certain induced subgraphs, named proper wheels and long prisms, then either G i...
Michele Conforti, Gérard Cornuéjols,...
COMBINATORICA
2006
47views more  COMBINATORICA 2006»
14 years 16 days ago
Reducing The Seed Length In The Nisan-Wigderson Generator
Russell Impagliazzo, Ronen Shaltiel, Avi Wigderson
COMBINATORICA
2006
46views more  COMBINATORICA 2006»
14 years 16 days ago
Packing Non-Zero A-Paths In Group-Labelled Graphs
Maria Chudnovsky, Jim Geelen, Bert Gerards, Luis A...
COMBINATORICA
2006
54views more  COMBINATORICA 2006»
14 years 16 days ago
Symplectic Spaces And Ear-Decomposition Of Matroids
Balázs Szegedy, Christian Szegedy
COMBINATORICA
2006
137views more  COMBINATORICA 2006»
14 years 16 days ago
Extremal Problems For Transversals In Graphs With Bounded Degree
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
Tibor Szabó, Gábor Tardos
COMBINATORICA
2006
125views more  COMBINATORICA 2006»
14 years 16 days ago
Coloring Subgraphs of the Rado Graph
Given a universal binary countable homogeneous structure U and n , there is a partition of the induced n-element substructures of U into finitely many classes so that for any par...
Norbert W. Sauer
COMBINATORICA
2006
52views more  COMBINATORICA 2006»
14 years 16 days ago
Homological Connectivity Of Random 2-Complexes
Nathan Linial, Roy Meshulam
COMBINATORICA
2006
53views more  COMBINATORICA 2006»
14 years 16 days ago
Canonical Partitions Of Universal Structures
Claude Laflamme, Norbert W. Sauer, Vojkan Vuksanov...