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» The Complexity of Planarity Testing
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JCO
2007
56views more  JCO 2007»
14 years 11 months ago
An unexpected meeting of four seemingly unrelated problems: graph testing, DNA complex screening, superimposed codes and secure
This paper discusses the relation among four problems: graph testing, DNA complex screening, superimposed codes and secure key distribution. We prove a surprising equivalence relat...
H. B. Chen, Ding-Zhu Du, Frank K. Hwang
WG
2005
Springer
15 years 4 months ago
On Stable Cutsets in Claw-Free Graphs and Planar Graphs
To decide whether a line graph (hence a claw-free graph) of maximum degree five admits a stable cutset has been proven to be an NP-complete problem. The same result has been known...
Van Bang Le, Raffaele Mosca, Haiko Müller
COMPGEOM
2010
ACM
15 years 4 months 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
ALGORITHMICA
2006
138views more  ALGORITHMICA 2006»
14 years 11 months ago
Planar Graph Coloring Avoiding Monochromatic Subgraphs: Trees and Paths Make It Difficult
We consider the problem of coloring a planar graph with the minimum number of colors so that each color class avoids one or more forbidden graphs as subgraphs. We perform a detail...
Hajo Broersma, Fedor V. Fomin, Jan Kratochví...
ACCV
2010
Springer
14 years 6 months ago
A Direct Method for Estimating Planar Projective Transform
Estimating planar projective transform (homography) from a pair of images is a classical problem in computer vision. In this paper, we propose a novel algorithm for direct register...
Yu-Tseh Chi, Jeffrey Ho, Ming-Hsuan Yang