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CORR
2008
Springer
103views Education» more  CORR 2008»
13 years 4 months ago
Generating Random Graphs with Large Girth
We present a simple and efficient algorithm for randomly generating simple graphs without small cycles. These graphs can be used to design high performance Low-Density Parity-Chec...
Mohsen Bayati, Andrea Montanari, Amin Saberi
CORR
2008
Springer
127views Education» more  CORR 2008»
13 years 4 months ago
Theory of Rumour Spreading in Complex Social Networks
We introduce a general stochastic model for the spread of rumours, and derive mean-field equations that describe the dynamics of the model on complex social networks (in particula...
Maziar Nekovee, Yamir Moreno, G. Bianconi, M. Mars...
CORR
2010
Springer
182views Education» more  CORR 2010»
13 years 4 months ago
Component structure induced by a random walk on a random graph
We consider random walks on two classes of random graphs and explore the likely structure of the vacant set viz. the set of unvisited vertices. Let (t) be the subgraph induced by ...
Colin Cooper, Alan M. Frieze
ALGORITHMICA
2010
147views more  ALGORITHMICA 2010»
13 years 4 months ago
Note on the Structure of Kruskal's Algorithm
We study the merging process when Kruskal's algorithm is run with random graphs as inputs. Our aim is to analyze this process when the underlying graph is the complete graph ...
Nicolas Broutin, Luc Devroye, Erin McLeish
ICML
2010
IEEE
13 years 5 months ago
Finding Planted Partitions in Nearly Linear Time using Arrested Spectral Clustering
We describe an algorithm for clustering using a similarity graph. The algorithm (a) runs in O(n log3 n + m log n) time on graphs with n vertices and m edges, and (b) with high pro...
Nader H. Bshouty, Philip M. Long
IJCAI
2001
13 years 5 months ago
Search on High Degree Graphs
We show that nodes of high degree tend to occur infrequently in random graphs but frequently in a wide variety of graphs associated with real world search problems. We then study ...
Toby Walsh
SODA
2008
ACM
82views Algorithms» more  SODA 2008»
13 years 5 months ago
On properties of random dissections and triangulations
In the past decades the Gn,p model of random graphs, introduced by Erdos and R
Nicla Bernasconi, Konstantinos Panagiotou, Angelik...
APPROX
2008
Springer
125views Algorithms» more  APPROX 2008»
13 years 6 months ago
On the Degree Sequences of Random Outerplanar and Series-Parallel Graphs
In order to perform an average-case analysis for specific input distributions one needs to derive and understand properties of a 'typical' input instance. In the case of...
Nicla Bernasconi, Konstantinos Panagiotou, Angelik...
LATIN
2000
Springer
13 years 8 months ago
Small Maximal Matchings in Random Graphs
We look at the minimal size of a maximal matching in general, bipartite and
Michele Zito
SIGAL
1990
273views Algorithms» more  SIGAL 1990»
13 years 8 months ago
Randomized Broadcast in Networks
We propose and analyse a quasirandom analogue to the classical push model for disseminating information in networks ("randomized rumor spreading"). In the classical mode...
Uriel Feige, David Peleg, Prabhakar Raghavan, Eli ...