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» On Bounds for the k-Partitioning of Graphs
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MOBIHOC
2001
ACM
16 years 6 months ago
Geometric spanner for routing in mobile networks
We propose a new routing graph, the Restricted Delaunay Graph (RDG), for ad hoc networks. Combined with a node clustering algorithm, RDG can be used as an underlying graph for geo...
Jie Gao, Leonidas J. Guibas, John Hershberger, Li ...
STOC
2003
ACM
118views Algorithms» more  STOC 2003»
16 years 6 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
IPTPS
2003
Springer
15 years 11 months ago
Koorde: A Simple Degree-Optimal Distributed Hash Table
Koorde1 is a new distributed hash table (DHT) based on Chord [15] and the de Bruijn graphs [2]. While inheriting the simplicity of Chord, Koorde meets various lower bounds, such a...
M. Frans Kaashoek, David R. Karger
FAW
2008
Springer
111views Algorithms» more  FAW 2008»
15 years 8 months ago
Efficient First-Order Model-Checking Using Short Labels
We prove that there exists an O(log(n))-labeling scheme for every first-order formula with free set variables in every class of graphs that is nicely locally cwd-decomposable, whic...
Bruno Courcelle, Cyril Gavoille, Mamadou Moustapha...
CSL
2007
Springer
16 years 19 days ago
The Power of Counting Logics on Restricted Classes of Finite Structures
Abstract. Although Cai, F¨urer and Immerman have shown that fixedpoint logic with counting (IFP + C) does not express all polynomialtime properties of finite structures, there h...
Anuj Dawar, David Richerby