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» Supereulerian planar graphs
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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
CIAC
2010
Springer
258views Algorithms» more  CIAC 2010»
14 years 4 months ago
A Planar Linear Arboricity Conjecture
The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. In 1984, Akiyama et al. [1] stated the Linear Arboricity Conjecture...
Marek Cygan, Lukasz Kowalik, Borut Luzar
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
LATIN
2010
Springer
14 years 2 months ago
Optimal Polygonal Representation of Planar Graphs
In this paper, we consider the problem of representing graphs by polygons whose sides touch. We show that at least six sides per polygon are necessary by constructing a class of pl...
Emden R. Gansner, Yifan Hu, Michael Kaufmann, Step...
GD
2003
Springer
14 years 23 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