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» On the Vulnerability of Large 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
AVI
2006
15 years 7 months ago
Line graph explorer: scalable display of line graphs using Focus+Context
Scientific measurements are often depicted as line graphs. Stateof-the-art high throughput systems in life sciences, telemetry and electronics measurement rapidly generate hundred...
Robert Kincaid, Heidi Lam
ICALP
2003
Springer
15 years 11 months 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...
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SIAMCOMP
2010
120views more  SIAMCOMP 2010»
15 years 4 months ago
Edge Disjoint Paths in Moderately Connected Graphs
Abstract. We study the Edge Disjoint Paths (EDP) problem in undirected graphs: Given a graph G with n nodes and a set T of pairs of terminals, connect as many terminal pairs as pos...
Satish Rao, Shuheng Zhou
BMCBI
2008
115views more  BMCBI 2008»
15 years 6 months ago
BioGraphE: high-performance bionetwork analysis using the Biological Graph Environment
Background: Graphs and networks are common analysis representations for biological systems. Many traditional graph algorithms such as k-clique, k-coloring, and subgraph matching h...
George Chin Jr., Daniel G. Chavarría-Mirand...