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APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
15 years 3 months ago
Eigenvectors of Random Graphs: Nodal Domains
We initiate a systematic study of eigenvectors of random graphs. Whereas much is known about eigenvalues of graphs and how they reflect properties of the underlying graph, relati...
Yael Dekel, James R. Lee, Nathan Linial
STOC
2006
ACM
112views Algorithms» more  STOC 2006»
15 years 3 months ago
Limitations of quantum coset states for graph isomorphism
It has been known for some time that graph isomorphism reduces to the hidden subgroup problem (HSP). What is more, most exponential speedups in quantum computation are obtained by...
Sean Hallgren, Cristopher Moore, Martin Rötte...
DAM
2008
84views more  DAM 2008»
14 years 9 months ago
Edge-splittings preserving local edge-connectivity of graphs
Let G = (V + s, E) be a 2-edge-connected graph with a designated vertex s. A pair of edges rs, st is called admissible if splitting off these edges (replacing rs and st by rt) pre...
Zoltán Szigeti
75
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COMBINATORICS
2004
129views more  COMBINATORICS 2004»
14 years 9 months ago
Operations on Well-Covered Graphs and the Roller-Coaster Conjecture
A graph G is well-covered if every maximal independent set has the same cardinality. Let sk denote the number of independent sets of cardinality k, and define the independence pol...
Philip Matchett
ICDM
2006
IEEE
134views Data Mining» more  ICDM 2006»
15 years 3 months ago
Fast Frequent Free Tree Mining in Graph Databases
Free tree, as a special graph which is connected, undirected and acyclic, is extensively used in domains such as computational biology, pattern recognition, computer networks, XML...
Peixiang Zhao, Jeffrey Xu Yu