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» On Planar Quasi-Parity Graphs
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JCT
2007
118views more  JCT 2007»
15 years 6 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 10 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»
15 years 6 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»
15 years 6 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»
15 years 4 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...