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OL
2010
140views more  OL 2010»
15 years 23 days ago
Approximation algorithms for finding and partitioning unit-disk graphs into co-k-plexes
This article studies a degree-bounded generalization of independent sets called co-k-plexes. Constant factor approximation algorithms are developed for the maximum co-k-plex probl...
Balabhaskar Balasundaram, Shyam Sundar Chandramoul...
COCOON
2009
Springer
16 years 18 days ago
Convex Partitions with 2-Edge Connected Dual Graphs
It is shown that for every finite set of disjoint convex polygonal obstacles in the plane, with a total of n vertices, the free space around the obstacles can be partitioned into ...
Marwan Al-Jubeh, Michael Hoffmann, Mashhood Ishaqu...
CCCG
2006
15 years 7 months ago
Geometric Separator for d-Dimensional Ball Graphs
We study the graph partitioning problem on ddimensional ball graphs in a geometric way. Let B be a set of balls in d-dimensional Euclidean space with radius ratio and -precision....
Kebin Wang, Shang-Hua Teng
SAC
2010
ACM
16 years 26 days ago
MSP algorithm: multi-robot patrolling based on territory allocation using balanced graph partitioning
This article addresses the problem of efficient multi-robot patrolling in a known environment. The proposed approach assigns regions to each mobile agent. Every region is represen...
David Portugal, Rui Rocha
EJC
2008
15 years 6 months ago
Locally constrained graph homomorphisms and equitable partitions
We explore the connection between locally constrained graph homomorphisms and degree matrices arising from an equitable partition of a graph. We provide several equivalent charact...
Jirí Fiala, Daniël Paulusma, Jan Arne ...