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» Derandomized Squaring of Graphs
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CC
2008
Springer
133views System Software» more  CC 2008»
13 years 6 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
14 years 4 days 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»
13 years 6 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
CORR
2010
Springer
107views Education» more  CORR 2010»
13 years 4 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...
CORR
2006
Springer
123views Education» more  CORR 2006»
13 years 6 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