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» On Planar Quasi-Parity Graphs
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COMBINATORICS
2000
114views more  COMBINATORICS 2000»
14 years 11 months ago
Trees and Matchings
In this article, Temperley's bijection between spanning trees of the square grid on the one hand, and perfect matchings (also known as dimer coverings) of the square grid on ...
Richard Kenyon, James Gary Propp, David Bruce Wils...
CORR
2008
Springer
96views Education» more  CORR 2008»
14 years 12 months ago
Tree-width of hypergraphs and surface duality
In Graph Minors III, Robertson and Seymour write:"It seems that the tree-width of a planar graph and the tree-width of its geometric dual are approximately equal -- indeed, w...
Frédéric Mazoit
STACS
2000
Springer
15 years 3 months ago
The Complexity of Planarity Testing
We clarify the computational complexity of planarity testing, by showing that planarity testing is hard for L, and lies in SL. This nearly settles the question, since it is widely...
Eric Allender, Meena Mahajan
COCOA
2008
Springer
15 years 1 months ago
Computational Study on Dominating Set Problem of Planar Graphs
Abstract: Recently, there have been significant theoretical progresses towards fixed-parameter algorithms for the DOMINATING SET problem of planar graphs. It is known that the prob...
Marjan Marzban, Qian-Ping Gu, Xiaohua Jia
COMGEO
2004
ACM
14 years 11 months ago
How to draw the minimum cuts of a planar graph
We show how to utilize the cactus representation of all minimum cuts of a graph to visualize the minimum cuts of a planar graph in a planar drawing. In a first approach the cactus...
Ulrik Brandes, Sabine Cornelsen, Christian Fie&szl...