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» Bounding Smooth Integers
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106
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STOC
2003
ACM
118views Algorithms» more  STOC 2003»
16 years 4 months ago
A proof of Alon's second eigenvalue conjecture
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. In this paper we show the following conjecture of Alon. Fix an integer d > 2 and a real > 0. Then...
Joel Friedman
127
Voted
CASC
2009
Springer
157views Mathematics» more  CASC 2009»
15 years 10 months ago
On the Complexity of Reliable Root Approximation
This work addresses the problem of computing a certified ǫ-approximation of all real roots of a square-free integer polynomial. We proof an upper bound for its bit complexity, b...
Michael Kerber
151
Voted
ACSC
2005
IEEE
15 years 9 months ago
Large k-Separated Matchings of Random Regular Graphs
A k-separated matching in a graph is a set of edges at distance at least k from one another (hence, for instance, a 1-separated matching is just a matching in the classical sense)...
Mihalis Beis, William Duckworth, Michele Zito
COCOON
2005
Springer
15 years 9 months ago
Algorithms for Finding Distance-Edge-Colorings of Graphs
For a bounded integer , we wish to color all edges of a graph G so that any two edges within distance have different colors. Such a coloring is called a distance-edge-coloring or ...
Takehiro Ito, Akira Kato, Xiao Zhou, Takao Nishize...
WAOA
2004
Springer
141views Algorithms» more  WAOA 2004»
15 years 9 months ago
Strong Colorings of Hypergraphs
Abstract. A strong vertex coloring of a hypergraph assigns distinct colors to vertices that are contained in a common hyperedge. This captures many previously studied graph colorin...
Geir Agnarsson, Magnús M. Halldórsso...