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ESA
2004
Springer
137views Algorithms» more  ESA 2004»
16 years 6 days ago
Fast 3-Coloring Triangle-Free Planar Graphs
We show the first o(n2 ) algorithm for coloring vertices of trianglefree planar graphs using three colors. The time complexity of the algorithm is O(n log n). Our approach can be ...
Lukasz Kowalik
ICALP
1992
Springer
15 years 11 months ago
On Nearest-Neighbor Graphs
The "nearest neighbor" relation, or more generally the "k nearest neighbors" relation, defined for a set of points in a metric space, has found many uses in co...
Mike Paterson, F. Frances Yao
CCCG
2008
15 years 8 months ago
A Distributed Algorithm for Computing Voronoi Diagram in the Unit Disk Graph Model
We study the problem of computing Voronoi diagrams distributedly for a set of nodes of a network modeled as a Unit Disk Graph (UDG). We present an algorithm to solve this problem ...
Yurai Núñez Rodríguez, Henry ...
CORR
2010
Springer
81views Education» more  CORR 2010»
15 years 7 months ago
Relaxation-based coarsening and multiscale graph organization
We propose a new measure that quantifies the "closeness" between two nodes in a given graph. The calculation of the measure is linear in the number of edges in the graph...
Dorit Ron, Ilya Safro, Achi Brandt
DAM
2008
67views more  DAM 2008»
15 years 6 months ago
On the variance of Shannon products of graphs
We study the combinatorial problem of finding an arrangement of distinct integers into the ddimensional N-cube so that the maximal variance of the numbers on each -dimensional sec...
József Balogh, Clifford D. Smyth