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IOR
2011
175views more  IOR 2011»
13 years 7 months ago
Clique Relaxations in Social Network Analysis: The Maximum k-Plex Problem
This paper introduces and studies the maximum k-plex problem, which arises in social network analysis and has wider applicability in several important areas employing graph-based ...
Balabhaskar Balasundaram, Sergiy Butenko, Illya V....
CORR
2011
Springer
202views Education» more  CORR 2011»
13 years 7 months ago
High Degree Vertices, Eigenvalues and Diameter of Random Apollonian Networks
ABSTRACT. Upon the discovery of power laws [8, 16, 30], a large body of work in complex network analysis has focused on developing generative models of graphs which mimick real-wor...
Alan M. Frieze, Charalampos E. Tsourakakis
WAW
2010
Springer
312views Algorithms» more  WAW 2010»
13 years 10 months ago
The Geometric Protean Model for On-Line Social Networks
We introduce a new geometric, rank-based model for the link structure of on-line social networks (OSNs). In the geo-protean (GEO-P) model for OSNs nodes are identified with points ...
Anthony Bonato, Jeannette Janssen, Pawel Pralat
SIAMDM
2010
114views more  SIAMDM 2010»
13 years 10 months ago
Rank-Based Attachment Leads to Power Law Graphs
Abstract. We investigate the degree distribution resulting from graph generation models based on rank-based attachment. In rank-based attachment, all vertices are ranked according ...
Jeannette Janssen, Pawel Pralat
INFOCOM
2010
IEEE
13 years 11 months ago
Transition from Heavy to Light Tails in Retransmission Durations
— Retransmissions serve as the basic building block that communication protocols use to achieve reliable data transfer. Until recently, the number of retransmissions were thought...
Jian Tan, Ness B. Shroff
IM
2007
14 years 6 days ago
PageRank of Scale-Free Growing Networks
PageRank is one of the principle criteria according to which Google ranks Web pages. PageRank can be interpreted as a frequency of Web page visits by a random surfer and thus it r...
Konstantin Avrachenkov, Dmitri Lebedev
IM
2007
14 years 10 days ago
In-Degree and PageRank: Why Do They Follow Similar Power Laws?
PageRank is a popularity measure designed by Google to rank Web pages. Experiments confirm that PageRank values obey a power law with the same exponent as In-Degree values. This ...
Nelly Litvak, Werner R. W. Scheinhardt, Yana Volko...
CORR
2008
Springer
107views Education» more  CORR 2008»
14 years 15 days ago
The Degree Distribution of Random k-Trees
A power law degree distribution is established for a graph evolution model based on the graph class of k-trees. This k-tree-based graph process can be viewed as an idealized model...
Yong Gao
ICASSP
2010
IEEE
14 years 19 days ago
Power law discounting for n-gram language models
We present an approximation to the Bayesian hierarchical PitmanYor process language model which maintains the power law distribution over word tokens, while not requiring a comput...
Songfang Huang, Steve Renals
SODA
2001
ACM
138views Algorithms» more  SODA 2001»
14 years 1 months ago
The diameter of random massive graphs
Many massive graphs (such as the WWW graph and Call graphs) share certain universal characteristics which can be described by so-called the "power law". Here we determin...
Linyuan Lu