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COMBINATORICS
1998
79views more  COMBINATORICS 1998»
14 years 9 months ago
A Note on Constructing Large Cayley Graphs of Given Degree and Diameter by Voltage Assignments
Voltage graphs are a powerful tool for constructing large graphs (called lifts) with prescribed properties as covering spaces of small base graphs. This makes them suitable for ap...
Ljiljana Brankovic, Mirka Miller, Ján Plesn...
CORR
2010
Springer
182views Education» more  CORR 2010»
14 years 10 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
CAI
2007
Springer
15 years 4 months ago
The Second Eigenvalue of Random Walks On Symmetric Random Intersection Graphs
Abstract. In this paper we examine spectral properties of random intersection graphs when the number of vertices is equal to the number of labels. We call this class symmetric rand...
Sotiris E. Nikoletseas, Christoforos Raptopoulos, ...
RSA
2010
108views more  RSA 2010»
14 years 8 months ago
Resolvent of large random graphs
We analyze the convergence of the spectrum of large random graphs to the spectrum of a limit infinite graph. We apply these results to graphs converging locally to trees and deri...
Charles Bordenave, Marc Lelarge
CORR
2002
Springer
135views Education» more  CORR 2002»
14 years 9 months ago
Randomized Approximation Schemes for Cuts and Flows in Capacitated Graphs
We improve on random sampling techniques for approximately solving problems that involve cuts and flows in graphs. We give a near-linear-time construction that transforms any grap...
András A. Benczúr, David R. Karger