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» Computing the Girth of a Planar Graph
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IPL
2006
69views more  IPL 2006»
13 years 7 months ago
On computing the smallest four-coloring of planar graphs and non-self-reducible sets in P
We show that computing the lexicographically first four-coloring for planar graphs is p 2hard. This result optimally improves upon a result of Khuller and Vazirani who prove this ...
André Große, Jörg Rothe, Gerd We...
COCOA
2008
Springer
13 years 9 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
COMPGEOM
2010
ACM
14 years 20 days ago
Adding one edge to planar graphs makes crossing number hard
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
Sergio Cabello, Bojan Mohar
ICALP
2003
Springer
14 years 24 days ago
Generating Labeled Planar Graphs Uniformly at Random
Abstract. We present an expected polynomial time algorithm to generate a labeled planar graph uniformly at random. To generate the planar graphs, we derive recurrence formulas that...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
CVPR
2009
IEEE
15 years 2 months ago
Efficient Planar Graph Cuts with Applications in Computer Vision
We present a fast graph cut algorithm for planar graphs. It is based on the graph theoretical work [2] and leads to an efficient method that we apply on shape matching and im- a...
Daniel Cremers, Eno Töppe, Frank R. Schmidt