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20112022
most citedCommunity structure and scale-free collections of Erdös-Rényi graphs

252 citations · 1.1k across the 38 of their papers we have counts for

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Showing 2012Show all

7 papers · 1 filter

cs.DS2012

A space efficient streaming algorithm for triangle counting using the birthday paradox

Madhav Jha, C. Seshadhri, Ali Pinar

We design a space efficient algorithm that approximates the transitivity (global clustering coefficient) and total triangle count with only a single pass through a graph given as a…

cs.SI2012★ 1 cited

A stopping criterion for Markov chains when generating independent random graphs

J. Ray, A. Pinar, C. Seshadhri

Markov chains are convenient means of generating realizations of networks with a given (joint or otherwise) degree distribution, since they simply require a procedure for rewiring…

cs.SI2012★ 4 cited

A Scalable Null Model for Directed Graphs Matching All Degree Distributions: In, Out, and Reciprocal

Nurcan Durak, Tamara G. Kolda, Ali Pinar +1

Degree distributions are arguably the most important property of real world networks. The classic edge configuration model or Chung-Lu model can generate an undirected graph with a…

cs.SI2012★ 39 cited

Degree Relations of Triangles in Real-world Networks and Models

Nurcan Durak, Ali Pinar, Tamara G. Kolda +1

Triangles are an important building block and distinguishing feature of real-world networks, but their structure is still poorly understood. Despite numerous reports on the abundan…

cs.SI2012★ 5 cited

Are we there yet? When to stop a Markov chain while generating random graphs

Jaideep Ray, Ali Pinar, C. Seshadhri

Markov chains are a convenient means of generating realizations of networks, since they require little more than a procedure for rewiring edges. If a rewiring procedure exists for…

cs.SI2012★ 135 cited

Triadic Measures on Graphs: The Power of Wedge Sampling

C. Seshadhri, Ali Pinar, Tamara G. Kolda

Graphs are used to model interactions in a variety of contexts, and there is a growing need to quickly assess the structure of a graph. Some of the most useful graph metrics, espec…