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» A random graph model for massive graphs
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TOMS
2010
106views more  TOMS 2010»
13 years 9 months ago
Computing Tutte Polynomials
The Tutte polynomial of a graph, also known as the partition function of the q-state Potts model, is a 2-variable polynomial graph invariant of considerable importance in both comb...
Gary Haggard, David J. Pearce, Gordon Royle
WINE
2009
Springer
383views Economy» more  WINE 2009»
14 years 5 months ago
News Posting by Strategic Users in a Social Network
We argue that users in social networks are strategic in how they post and propagate information. We propose two models — greedy and courteous — and study information propagatio...
Mangesh Gupte, MohammadTaghi Hajiaghayi, Lu Han, L...
INFOCOM
2006
IEEE
14 years 5 months ago
Wealth-Based Evolution Model for the Internet AS-Level Topology
— In this paper, we seek to understand the intrinsic reasons for the well-known phenomenon of heavy-tailed degree in the Internet AS graph and argue that in contrast to tradition...
Xiaoming Wang, Dmitri Loguinov
TON
2010
83views more  TON 2010»
13 years 9 months ago
Understanding and modeling the internet topology: economics and evolution perspective
Abstract—In this paper, we seek to understand the intrinsic reasons for the well-known phenomenon of heavy-tailed degree in the Internet AS graph and argue that in contrast to tr...
Xiaoming Wang, Dmitri Loguinov
COMBINATORICS
2007
67views more  COMBINATORICS 2007»
13 years 11 months ago
Directed Animals and Gas Models Revisited
In this paper, we revisit the enumeration of directed animals using gas models. We show that there exists a natural construction of random directed animals on any directed graph t...
Yvan Le Borgne, Jean-François Marckert