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» Automorphic Decompositions of Graphs
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COMBINATORICA
2010
13 years 2 months ago
Approximation algorithms via contraction decomposition
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...
SWAT
1992
Springer
104views Algorithms» more  SWAT 1992»
13 years 11 months ago
Low-Diameter Graph Decomposition is in NC
We obtain the rst NC algorithm for the low-diameter graph decomposition problem on arbitrary graphs. Our algorithm runs in O(log5 (n)) time, and uses O(n2) processors.
Baruch Awerbuch, Bonnie Berger, Lenore Cowen, Davi...
CDC
2008
IEEE
144views Control Systems» more  CDC 2008»
13 years 9 months ago
Controllability decompositions of networked systems through quotient graphs
In this paper we study decentralized, networked systems whose interaction dynamics are given by a nearestneighbor averaging rule. By letting one node in the network take on the rol...
Simone Martini, Magnus Egerstedt, Antonio Bicchi
KDD
2012
ACM
271views Data Mining» more  KDD 2012»
11 years 10 months ago
GigaTensor: scaling tensor analysis up by 100 times - algorithms and discoveries
Many data are modeled as tensors, or multi dimensional arrays. Examples include the predicates (subject, verb, object) in knowledge bases, hyperlinks and anchor texts in the Web g...
U. Kang, Evangelos E. Papalexakis, Abhay Harpale, ...
CVPR
2008
IEEE
14 years 9 months ago
Non-negative graph embedding
We introduce a general formulation, called non-negative graph embedding, for non-negative data decomposition by integrating the characteristics of both intrinsic and penalty graph...
Jianchao Yang, Shuicheng Yan, Yun Fu, Xuelong Li, ...