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» Derandomized Squaring of Graphs
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CC
2008
Springer
133views System Software» more  CC 2008»
14 years 11 months ago
Hardness Amplification via Space-Efficient Direct Products
We prove a version of the derandomized Direct Product lemma for deterministic space-bounded algorithms. Suppose a Boolean function g : {0, 1}n {0, 1} cannot be computed on more th...
Venkatesan Guruswami, Valentine Kabanets
SPAA
2004
ACM
15 years 5 months ago
Lower bounds for graph embeddings and combinatorial preconditioners
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
Gary L. Miller, Peter C. Richter
TALG
2008
67views more  TALG 2008»
14 years 11 months ago
Structure and linear-time recognition of 4-leaf powers
A graph G is the k-leaf power of a tree T if its vertices are leaves of T such that two vertices are adjacent in G if and only if their distance in T is at most k. Then T is a k-le...
Andreas Brandstädt, Van Bang Le, R. Sritharan
105
Voted
CORR
2010
Springer
107views Education» more  CORR 2010»
14 years 9 months ago
Metric uniformization and spectral bounds for graphs
We present a method for proving upper bounds on the eigenvalues of the graph Laplacian. A main step involves choosing an appropriate "Riemannian" metric to uniformize th...
Jonathan A. Kelner, James R. Lee, Gregory N. Price...
82
Voted
CORR
2006
Springer
123views Education» more  CORR 2006»
14 years 11 months ago
Directed animals in the gas
In this paper, we revisit the enumeration of directed animals using gas models. We show that there exists a natural construction of random directed animals on any directed graph t...
Yvan Le Borgne, Jean-François Marckert