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IPL
2007
96views more  IPL 2007»
13 years 5 months ago
Fault diameter of product graphs
The (k − 1)-fault diameter Dk(G) of a k-connected graph G is the maximum diameter of an induced subgraph by deleting at most k − 1 vertices from G. This paper considers the fa...
Jun-Ming Xu, Chao Yang
COMBINATORICS
1998
79views more  COMBINATORICS 1998»
13 years 5 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...
WAW
2007
Springer
162views Algorithms» more  WAW 2007»
13 years 11 months 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
WAW
2007
Springer
157views Algorithms» more  WAW 2007»
13 years 11 months ago
Stochastic Kronecker Graphs
A random graph model based on Kronecker products of probability matrices has been recently proposed as a generative model for large-scale real-world networks such as the web. This...
Mohammad Mahdian, Ying Xu 0002
COCOON
2003
Springer
13 years 10 months ago
Fault-Hamiltonicity of Product Graph of Path and Cycle
We investigate hamiltonian properties of Pm × Cn, m ≥ 2 and even n ≥ 4, which is bipartite, in the presence of faulty vertices and/or edges. We show that Pm×Cn with n even is...
Jung-Heum Park, Hee-Chul Kim