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» Computing the Girth of a Planar Graph
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WG
2007
Springer
14 years 1 months ago
Obtaining a Planar Graph by Vertex Deletion
In the Planar +k vertex problem the task is to find at most k vertices whose deletion makes the given graph planar. The graphs for which there exists a solution form a minor close...
Dániel Marx, Ildikó Schlotter
CORR
2012
Springer
195views Education» more  CORR 2012»
12 years 3 months ago
Multiple-Source Shortest Paths in Embedded Graphs
Let G be a directed graph with n vertices and non-negative weights in its directed edges, embedded on a surface of genus g, and let f be an arbitrary face of G. We describe an alg...
Sergio Cabello, Erin W. Chambers, Jeff Erickson
GC
2010
Springer
13 years 6 months ago
20 Years of Negami's Planar Cover Conjecture
In 1988, Seiya Negami published a conjecture stating that a graph G has a finite planar cover (i.e. a homomorphism from some planar graph onto G which maps the vertex neighbourhoo...
Petr Hlinený
COCO
2007
Springer
87views Algorithms» more  COCO 2007»
14 years 1 months ago
Parity Problems in Planar Graphs
We consider the problem of counting the number of spanning trees in planar graphs. We prove tight bounds on the complexity of the problem, both in general and especially in the mo...
Mark Braverman, Raghav Kulkarni, Sambuddha Roy
GD
2003
Springer
14 years 24 days ago
Intersection-Free Morphing of Planar Graphs
Given two different drawings of a planar graph we consider the problem of morphing one drawing into the other. We designed and implemented an algorithm for intersection-free morph...
Cesim Erten, Stephen G. Kobourov, Chandan Pitta