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» Cancellation properties of products of graphs
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COCOON
2003
Springer
14 years 18 days 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
IM
2008
13 years 7 months ago
Directed Random Dot Product Graphs
In this paper we consider three models for random graphs that utilize the inner product as their fundamental object. We analyze the behavior of these models with respect to cluster...
Stephen J. Young, Edward R. Scheinerman
CORR
2006
Springer
145views Education» more  CORR 2006»
13 years 7 months ago
Product Multicommodity Flow in Wireless Networks
We provide a tight approximate characterization of the n-dimensional product multicommodity flow (PMF) region for a wireless network of n nodes. Separate characterizations in term...
Ritesh Madan, Devavrat Shah, Olivier Lév&ec...
IJCAI
2001
13 years 8 months ago
Causal interaction: from a high-level representation to an operational event-based representation
We propose to extend the temporal causal graph formalisms used in model-based diagnosis in order to deal with non trivial interactions like (partial) cancellation of fault effects...
Irène Grosclaude, Marie-Odile Cordier, Rene...
DM
2008
58views more  DM 2008»
13 years 7 months ago
The vertex isoperimetric problem for the powers of the diamond graph
We introduce a new graph for all whose cartesian powers the vertex isoperimetric problem has nested solutions. This is the fourth kind of graphs with this property besides the wel...
Sergei L. Bezrukov, Miquel Rius, Oriol Serra