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» Idomatic partitions of direct products of complete graphs
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DM
2010
98views more  DM 2010»
13 years 6 months ago
Idomatic partitions of direct products of complete graphs
In this paper we give a full characterization of the idomatic partitions of the direct product of three complete graphs. We also show how to use such a characterization in order t...
Mario Valencia-Pabon
CORR
2012
Springer
214views Education» more  CORR 2012»
12 years 2 months ago
Sum-Product Networks: A New Deep Architecture
The key limiting factor in graphical model inference and learning is the complexity of the partition function. We thus ask the question: what are the most general conditions under...
Hoifung Poon, Pedro Domingos
GD
2004
Springer
14 years 6 days ago
Partitions of Complete Geometric Graphs into Plane Trees
Consider the following question: does every complete geometric graph K2n have a partition of its edge set into n plane spanning trees? We approach this problem from three directio...
Prosenjit Bose, Ferran Hurtado, Eduardo Rivera-Cam...
IPL
2007
74views more  IPL 2007»
13 years 6 months ago
Minimum cycle bases of direct products of complete graphs
This paper presents a construction of a minimum cycle basis for the direct product of two complete graphs on three or more vertices. With the exception of two special cases, such ...
Richard Hammack
IM
2008
13 years 6 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