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» Obtaining a Planar Graph by Vertex Deletion
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IPL
2007
81views more  IPL 2007»
13 years 7 months ago
Linear-time algorithms for problems on planar graphs with fixed disk dimension
The disk dimension of a planar graph G is the least number k for which G embeds in the plane minus k open disks, with every vertex on the boundary of some disk. Useful properties ...
Faisal N. Abu-Khzam, Michael A. Langston
JCT
2007
94views more  JCT 2007»
13 years 7 months ago
A zero-free interval for flow polynomials of cubic graphs
Let P(G,t) and F(G,t) denote the chromatic and flow polynomials of a graph G. D.R. Woodall has shown that, if G is a plane triangulation, then the only zeros of P(G,t) in (−∞...
Bill Jackson
GD
2006
Springer
13 years 11 months ago
Planarity Testing and Optimal Edge Insertion with Embedding Constraints
The planarization method has proven to be successful in graph drawing. The output, a combinatorial planar embedding of the so-called planarized graph, can be combined with state-o...
Carsten Gutwenger, Karsten Klein, Petra Mutzel
ICALP
2003
Springer
14 years 20 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...
INFORMATICALT
2006
104views more  INFORMATICALT 2006»
13 years 7 months ago
Algorithms for Inner Magic and Inner Antimagic Labelings of Some Planar Graphs
In this work labeling of planar graphs is taken up which involves labeling the p vertices, the q edges and the f internal faces such that the weights of the faces form an arithmeti...
Auparajita Krishnaa, Manohar Singh Dulawat