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CORR
2011
Springer
202views Education» more  CORR 2011»
15 years 1 months ago
High Degree Vertices, Eigenvalues and Diameter of Random Apollonian Networks
ABSTRACT. Upon the discovery of power laws [8, 16, 30], a large body of work in complex network analysis has focused on developing generative models of graphs which mimick real-wor...
Alan M. Frieze, Charalampos E. Tsourakakis
IV
2003
IEEE
92views Visualization» more  IV 2003»
15 years 11 months ago
Visualizing Weighted Edges in Graphs
This paper introduces a new edge length heuristic that finds a graph layout where the edge lengths are proportional to the weights on the graph edges. The heuristic can be used in...
Peter Rodgers, Paul Mutton
RSA
2008
69views more  RSA 2008»
15 years 5 months ago
Local resilience of graphs
: In this article, we initiate a systematic study of graph resilience. The (local) resilience of a graph G with respect to a property P measures how much one has to change G (local...
Benny Sudakov, Van H. Vu
WAW
2009
Springer
138views Algorithms» more  WAW 2009»
16 years 28 days ago
Information Theoretic Comparison of Stochastic Graph Models: Some Experiments
The Modularity-Q measure of community structure is known to falsely ascribe community structure to random graphs, at least when it is naively applied. Although Q is motivated by a ...
Kevin J. Lang
CORR
2004
Springer
83views Education» more  CORR 2004»
15 years 6 months ago
A proof of Alon's second eigenvalue conjecture and related problems
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. Consider for an even d 4, a random d-regular graph model formed from d/2 uniform, independent permutat...
Joel Friedman