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» The diameter of random massive graphs
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FOCS
1994
IEEE
13 years 9 months ago
Randomized and deterministic algorithms for geometric spanners of small diameter
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid
COMGEO
1999
ACM
13 years 5 months ago
Dynamic algorithms for geometric spanners of small diameter: Randomized solutions
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid
COMBINATORICS
2006
169views more  COMBINATORICS 2006»
13 years 6 months ago
The Diameter and Laplacian Eigenvalues of Directed Graphs
For undirected graphs it has been known for some time that one can bound the diameter using the eigenvalues. In this note we give a similar result for the diameter of strongly con...
Fan R. K. Chung
WAW
2007
Springer
162views Algorithms» more  WAW 2007»
14 years 5 days ago
Random Dot Product Graph Models for Social Networks
Inspired by the recent interest in combining geometry with random graph models, we explore in this paper two generalizations of the random dot product graph model proposed by Kraet...
Stephen J. Young, Edward R. Scheinerman
SDM
2010
SIAM
115views Data Mining» more  SDM 2010»
13 years 7 months ago
Radius Plots for Mining Tera-byte Scale Graphs: Algorithms, Patterns, and Observations
Given large, multi-million node graphs (e.g., FaceBook, web-crawls, etc.), how do they evolve over time? How are they connected? What are the central nodes and the outliers of the...
U. Kang, Charalampos E. Tsourakakis, Ana Paula App...