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» A random graph model for massive graphs
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TOMS
2010
106views more  TOMS 2010»
15 years 5 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»
16 years 1 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
16 years 19 days 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»
15 years 5 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»
15 years 6 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