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» Geometric graphs with no two parallel edges
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SPAA
2000
ACM
13 years 10 months ago
An experimental study of a simple, distributed edge coloring algorithm
We conduct an experimental analysis of a distributed, randomized algorithm for edge coloring graphs. The algorithm is extremely simple, yet, according to the probabilistic analysi...
Madhav V. Marathe, Alessandro Panconesi, Larry D. ...
ISAAC
2005
Springer
131views Algorithms» more  ISAAC 2005»
13 years 11 months ago
Orthogonal Drawings of Series-Parallel Graphs with Minimum Bends
In an orthogonal drawing of a planar graph G, each vertex is drawn as a point, each edge is drawn as a sequence of alternate horizontal and vertical line segments, and any two edge...
Xiao Zhou, Takao Nishizeki
COMBINATORICS
2006
114views more  COMBINATORICS 2006»
13 years 5 months ago
Total 4-Choosability of Series-Parallel Graphs
It is proved that, if G is a K4-minor-free graph with maximum degree 3, then G is totally 4-choosable; that is, if every element (vertex or edge) of G is assigned a list of 4 colo...
Douglas R. Woodall
ICDCS
2008
IEEE
14 years 6 days ago
Distributed Connected Dominating Set Construction in Geometric k-Disk Graphs
In this paper, we study the problem of minimum connected dominating set in geometric k-disk graphs. This research is motivated by the problem of virtual backbone construction in w...
Kai Xing, Wei Cheng, E. K. Park, Shmuel Rotenstrei...
CORR
2004
Springer
94views Education» more  CORR 2004»
13 years 5 months ago
Track Layouts of Graphs
A (k, t)-track layout of a graph G consists of a (proper) vertex t-colouring of G, a total order of each vertex colour class, and a (non-proper) edge k-colouring such that between...
Vida Dujmovic, Attila Pór, David R. Wood