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» On Planar Quasi-Parity Graphs
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JCT
2007
118views more  JCT 2007»
14 years 11 months ago
Excluding a planar graph from GF(q)-representable matroids
Abstract. We prove that a binary matroid with huge branchwidth contains the cycle matroid of a large grid as a minor. This implies that an infinite antichain of binary matroids ca...
Jim Geelen, Bert Gerards, Geoff Whittle
APPROX
2007
Springer
80views Algorithms» more  APPROX 2007»
15 years 3 months ago
Coarse Differentiation and Multi-flows in Planar Graphs
We show that the multi-commodity max-flow/min-cut gap for series-parallel graphs can be as bad as 2, matching a recent upper bound [8] for this class, and resolving one side of a ...
James R. Lee, Prasad Raghavendra
IJISTA
2008
87views more  IJISTA 2008»
14 years 12 months ago
On fusion of range and intensity information using Graph-Cut for planar patch segmentation
: Planar patch detection aims at simplifying data from 3-D imaging sensors to a more compact scene description. We propose a fusion of intensity and depth information using Graph-C...
Olaf Kähler, Erik Rodner, Joachim Denzler
JGAA
2006
108views more  JGAA 2006»
14 years 12 months ago
Planar embeddability of the vertices of a graph using a fixed point set is NP-hard
Let G = (V, E) be a graph with n vertices and let P be a set of n points in the plane. We show that deciding whether there is a planar straight-line embedding of G such that the v...
Sergio Cabello
CORR
2010
Springer
134views Education» more  CORR 2010»
14 years 10 months ago
Locally identifying coloring of graphs
Let G = (V, E) be a graph. Let c : V → N be a vertex-coloring of the vertices of G. For any vertex u, we denote by N[u] its closed neighborhood (u and its adjacent vertices), an...
Louis Esperet, Sylvain Gravier, Mickaël Monta...