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APPROX
2009
Springer
98views Algorithms» more  APPROX 2009»
14 years 2 months ago
Random Tensors and Planted Cliques
The r-parity tensor of a graph is a generalization of the adjacency matrix, where the tensor’s entries denote the parity of the number of edges in subgraphs induced by r distinc...
S. Charles Brubaker, Santosh Vempala
ICASSP
2010
IEEE
13 years 7 months ago
Toward signal processing theory for graphs and non-Euclidean data
Graphs are canonical examples of high-dimensional non-Euclidean data sets, and are emerging as a common data structure in many fields. While there are many algorithms to analyze ...
Benjamin A. Miller, Nadya T. Bliss, Patrick J. Wol...
ICALP
2007
Springer
14 years 1 months ago
Quasi-randomness and Algorithmic Regularity for Graphs with General Degree Distributions
Abstract. We deal with two intimately related subjects: quasi-randomness and regular partitions. The purpose of the concept of quasi-randomness is to measure how much a given graph...
Noga Alon, Amin Coja-Oghlan, Hiêp Hàn...
SODA
2008
ACM
105views Algorithms» more  SODA 2008»
13 years 9 months ago
Deterministic random walks on regular trees
Jim Propp's rotor router model is a deterministic analogue of a random walk on a graph. Instead of distributing chips randomly, each vertex serves its neighbors in a fixed or...
Joshua N. Cooper, Benjamin Doerr, Tobias Friedrich...
ICASSP
2008
IEEE
14 years 2 months ago
Structure of non-binary regular ldpc cycle codes
In this paper, we study non-binary regular LDPC cycle codes whose parity check matrix has fixed column weight 2 and fixed row weight d. We prove that the parity check matrix of ...
Jie Huang, Shengli Zhou, Peter Willett