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» How to draw the minimum cuts of a planar graph
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SODA
2012
ACM
205views Algorithms» more  SODA 2012»
11 years 7 months ago
Global minimum cuts in surface embedded graphs
We give a deterministic algorithm to find the minimum cut in a surface-embedded graph in near-linear time. Given an undirected graph embedded on an orientable surface of genus g,...
Jeff Erickson, Kyle Fox, Amir Nayyeri
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
13 years 10 months ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...
GD
2004
Springer
13 years 10 months ago
Computing Radial Drawings on the Minimum Number of Circles
A radial drawing is a representation of a graph in which the vertices lie on concentric circles of finite radius. In this paper we study the problem of computing radial drawings ...
Emilio Di Giacomo, Walter Didimo, Giuseppe Liotta,...
DAGM
2007
Springer
13 years 9 months ago
Intrinsic Mean for Semi-metrical Shape Retrieval Via Graph Cuts
We address the problem of describing the mean object for a set of planar shapes in the case that the considered dissimilarity measures are semi-metrics, i.e. in the case that the t...
Frank R. Schmidt, Eno Töppe, Daniel Cremers, ...
CCCG
2007
13 years 6 months ago
Pointed Drawings of Planar Graphs
We study the problem how to draw a planar graph such that every vertex is incident to an angle greater than π. In general a straightline embedding cannot guarantee this property....
Oswin Aichholzer, Günter Rote, André S...