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» On Planar Quasi-Parity Graphs
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GC
2010
Springer
14 years 8 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
15 years 4 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
15 years 3 months 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
ICALP
2009
Springer
15 years 10 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
DM
2002
104views more  DM 2002»
14 years 9 months ago
A polynomial time algorithm for determining zero Euler-Petrie genus of an Eulerian graph
A dual-eulerian graph is a plane graph which has an ordering defined on its edge set which forms simultaneously an Euler circuit in the graph and an euler circuit in the dual grap...
Brigitte Servatius, Herman Servatius