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COMBINATORICS
2006
221views more  COMBINATORICS 2006»
15 years 6 months ago
Kernels of Directed Graph Laplacians
Abstract. Let G denote a directed graph with adjacency matrix Q and indegree matrix D. We consider the Kirchhoff matrix L = D - Q, sometimes referred to as the directed Laplacian. ...
John S. Caughman IV, J. J. P. Veerman
CPC
2007
64views more  CPC 2007»
15 years 6 months ago
Sampling Regular Graphs and a Peer-to-Peer Network
d Abstract) Colin Cooper∗ , Martin Dyer† and Catherine Greenhill‡ We consider a simple Markov chain for d-regular graphs on n vertices, and show that the mixing time of this...
Colin Cooper, Martin E. Dyer, Catherine S. Greenhi...
FUIN
2007
123views more  FUIN 2007»
15 years 6 months ago
Analysis of Approximate Petri Nets by Means of Occurrence Graphs
Abstract. Approximate Petri nets (AP-nets) can be used for the knowledge representation and approximate reasoning. The AP-net model is defined on the basis of the rough set approa...
Zbigniew Suraj, Barbara Fryc
IM
2007
15 years 6 months ago
Approximating Personalized PageRank with Minimal Use of Web Graph Data
Abstract. In this paper, we consider the problem of calculating fast and accurate approximations to the personalized PageRank score of a webpage. We focus on techniques to improve ...
David Gleich, Marzia Polito
IM
2007
15 years 6 months ago
Growing Protean Graphs
Abstract. The web may be viewed as a graph each of whose vertices corresponds to a static HTML web page, and each of whose edges corresponds to a hyperlink from one web page to ano...
Pawel Pralat, Nicholas C. Wormald