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ALGORITHMICA
2008
142views more  ALGORITHMICA 2008»
13 years 4 months ago
New Linear-Time Algorithms for Edge-Coloring Planar Graphs
We show efficient algorithms for edge-coloring planar graphs. Our main result is a linear-time algorithm for coloring planar graphs with maximum degree with max{, 9} colors. Thus...
Richard Cole, Lukasz Kowalik
LATIN
1995
Springer
13 years 8 months ago
Linear-Time Algorithms for Parametric Minimum Spanning Tree Problems on Planar Graphs
A linear-time algorithm for the minimum-ratio spanning tree problem on planar graphs is presented. The algorithm is based on a new planar minimum spanning tree algorithm. The appr...
David Fernández-Baca, Giora Slutzki
COCOON
2005
Springer
13 years 10 months ago
Algorithms for Finding Distance-Edge-Colorings of Graphs
For a bounded integer , we wish to color all edges of a graph G so that any two edges within distance have different colors. Such a coloring is called a distance-edge-coloring or ...
Takehiro Ito, Akira Kato, Xiao Zhou, Takao Nishize...
GD
2003
Springer
13 years 10 months ago
Radial Level Planarity Testing and Embedding in Linear Time
A graph with an ordered k-partition of the vertices is radial level planar if there is a strictly outward drawing on k concentric levels without crossings. Radial level planarity ...
Christian Bachmaier, Franz-Josef Brandenburg, Mich...
ISAAC
1995
Springer
97views Algorithms» more  ISAAC 1995»
13 years 8 months ago
A Linear Time Algorithm For Finding Maximal Planar Subgraphs
Given an undirected graph G, the maximal planar subgraph problem is to determine a planar subgraph H of G such that no edge of G-H can be added to H without destroying planarity. P...
Wen-Lian Hsu