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» Oriented diameter of graphs with diameter 3
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ISPAN
1997
IEEE
13 years 11 months ago
On The Shuffle-Exchange Permutation Network
The shuffle-exchange permutation network (SEPn) is a fixed degree Cayley graph which has been proposed as a basis for massively parallel systems. We propose a routing algorithm wi...
Douglas W. Bass, Ivan Hal Sudborough
SIAMDM
2008
90views more  SIAMDM 2008»
13 years 7 months ago
The Nine Morse Generic Tetrahedra
From computational geometry comes the notion of a Gabriel graph of a point set in the plane. The Gabriel graph consists of those edges connecting two points of the point set such t...
D. Siersma, M. van Manen
APPROX
2011
Springer
242views Algorithms» more  APPROX 2011»
12 years 7 months ago
New Tools for Graph Coloring
How to color 3 colorable graphs with few colors is a problem of longstanding interest. The best polynomial-time algorithm uses n0.2072 colors. There are no indications that colori...
Sanjeev Arora, Rong Ge
ARSCOM
2008
192views more  ARSCOM 2008»
13 years 7 months ago
Bounds on the metric and partition dimensions of a graph
Given a graph G, we say S V (G) is resolving if for each pair of distinct u, v V (G) there is a vertex x in S where d(u, x) = d(v, x). The metric dimension of G is the minimum c...
Glenn G. Chappell, John G. Gimbel, Chris Hartman
COR
2010
146views more  COR 2010»
13 years 7 months ago
A search space "cartography" for guiding graph coloring heuristics
We present a search space analysis and its application in improving local search algorithms for the graph coloring problem. Using a classical distance measure between colorings, w...
Daniel Cosmin Porumbel, Jin-Kao Hao, Pascale Kuntz