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» On the Vulnerability of Large Graphs
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STOC
1994
ACM
125views Algorithms» more  STOC 1994»
15 years 10 months ago
A spectral technique for coloring random 3-colorable graphs (preliminary version)
Let G(3n, p, 3) be a random 3-colorable graph on a set of 3n vertices generated as follows. First, split the vertices arbitrarily into three equal color classes and then choose ev...
Noga Alon, Nabil Kahale
CPC
2007
125views more  CPC 2007»
15 years 6 months ago
Adversarial Deletion in a Scale-Free Random Graph Process
We study a dynamically evolving random graph which adds vertices and edges using preferential attachment and is “attacked by an adversary”. At time t, we add a new vertex xt a...
Abraham D. Flaxman, Alan M. Frieze, Juan Vera
JCT
2006
54views more  JCT 2006»
15 years 6 months ago
Spectral estimates for Abelian Cayley graphs
We give two short proofs that for fixed d, a d-regular Cayley graph on an Abelian group of order n has second eigenvalue bounded below by d - O(dn-4/d), where the implied constant...
Joel Friedman, Ram Murty, Jean-Pierre Tillich
DASFAA
2010
IEEE
169views Database» more  DASFAA 2010»
15 years 4 months ago
Fires on the Web: Towards Efficient Exploring Historical Web Graphs
Abstract. Discovery of evolving regions in large graphs is an important issue because it is the basis of many applications such as spam websites detection in the Web, community lif...
Zhenglu Yang, Jeffrey Xu Yu, Zheng Liu, Masaru Kit...
CORR
2010
Springer
179views Education» more  CORR 2010»
15 years 3 months ago
Algebraic Constructions of Graph-Based Nested Codes from Protographs
Nested codes have been employed in a large number of communication applications as a specific case of superposition codes, for example to implement binning schemes in the presence ...
Christine A. Kelley, Jörg Kliewer