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RSA
2008
69views more  RSA 2008»
15 years 3 months ago
Local resilience of graphs
: In this article, we initiate a systematic study of graph resilience. The (local) resilience of a graph G with respect to a property P measures how much one has to change G (local...
Benny Sudakov, Van H. Vu
WAW
2009
Springer
138views Algorithms» more  WAW 2009»
15 years 11 months ago
Information Theoretic Comparison of Stochastic Graph Models: Some Experiments
The Modularity-Q measure of community structure is known to falsely ascribe community structure to random graphs, at least when it is naively applied. Although Q is motivated by a ...
Kevin J. Lang
CORR
2004
Springer
83views Education» more  CORR 2004»
15 years 4 months ago
A proof of Alon's second eigenvalue conjecture and related problems
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. Consider for an even d 4, a random d-regular graph model formed from d/2 uniform, independent permutat...
Joel Friedman
JGT
2006
60views more  JGT 2006»
15 years 4 months ago
Spanning subgraphs of graphs partitioned into two isomorphic pieces
: A graph has the neighbor-closed-co-neighbor, or ncc property, if for each of its vertices x, the subgraph induced by the neighbor set of x is isomorphic to the subgraph induced b...
Anthony Bonato
STOC
2007
ACM
137views Algorithms» more  STOC 2007»
16 years 4 months ago
Testing k-wise and almost k-wise independence
In this work, we consider the problems of testing whether a distribution over {0, 1}n is k-wise (resp. ( , k)-wise) independent using samples drawn from that distribution. For the...
Noga Alon, Alexandr Andoni, Tali Kaufman, Kevin Ma...