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2011
12 years 10 months ago
On terminal delta-wye reducibility of planar graphs
A graph is terminal ∆ − Y -reducible if, it can be reduced to a distinguished set of terminal vertices by a sequence of series-parallel reductions and ∆−Y -transformations...
Isidoro Gitler, Feliu Sagols
ICN
2009
Springer
14 years 10 days ago
An Approach to Data Extraction and Visualisation for Wireless Sensor Networks
—Ever since Descartes introduced planar coordinate systems, visual representations of data have become a widely accepted way of describing scientific phenomena. Modern advances ...
Mohammad Hammoudeh, Robert M. Newman, Sarah Mount
FOCS
1995
IEEE
13 years 11 months ago
An Approximation Scheme for Planar Graph TSP
We consider the special case of the traveling salesman problem TSP in which the distance metric is the shortest-path metric of a planar unweighted graph. We present a polynomial...
Michelangelo Grigni, Elias Koutsoupias, Christos H...
DAM
2008
93views more  DAM 2008»
13 years 7 months ago
Planar graph bipartization in linear time
For each constant k, we present a linear time algorithm that, given a planar graph G, either finds a minimum odd cycle vertex transversal in G or guarantees that there is no transv...
Samuel Fiorini, Nadia Hardy, Bruce A. Reed, Adrian...
DM
2008
91views more  DM 2008»
13 years 7 months ago
Lower bounds for the game colouring number of partial k-trees and planar graphs
This paper discusses the game colouring number of partial k-trees and planar graphs. Let colg(PT k) and colg(P) denote the maximum game colouring number of partial k trees and the...
Jiaojiao Wu, Xuding Zhu