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» Computing the Girth of a Planar Graph
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ICALP
2003
Springer
14 years 27 days ago
Fixed-Parameter Algorithms for the (k, r)-Center in Planar Graphs and Map Graphs
The (k, r)-center problem asks whether an input graph G has ≤ k vertices (called centers) such that every vertex of G is within distance ≤ r from some center. In this paper we ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
COMGEO
2011
ACM
13 years 2 months ago
Characterizations of restricted pairs of planar graphs allowing simultaneous embedding with fixed edges
A set of planar graphs share a simultaneous embedding if they can be drawn on the same vertex set V in the Euclidean plane without crossings between edges of the same graph. Fixed ...
J. Joseph Fowler, Michael Jünger, Stephen G. ...
GD
1995
Springer
13 years 11 months ago
On Representations of Some Thickness-Two Graphs
This paper considers representations of graphs as rectangle-visibility graphs and as doubly linear graphs. These are, respectively, graphs whose vertices are isothetic rectangles ...
Joan P. Hutchinson, Thomas C. Shermer, Andrew Vinc...
COMGEO
2007
ACM
13 years 7 months ago
On simultaneous planar graph embeddings
We consider the problem of simultaneous embedding of planar graphs. There are two variants of this problem, one in which the mapping between the vertices of the two graphs is given...
Peter Braß, Eowyn Cenek, Christian A. Duncan...
ALGORITHMICA
2011
13 years 2 months ago
Crossing Number and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
Sergio Cabello, Bojan Mohar