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» Graphs with Bounded Induced Distance
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WG
2009
Springer
14 years 3 months ago
Distance d-Domination Games
Abstract. We study graph searching games where a number of cops try to capture a robber that is hiding in a system of tunnels modelled as a graph. While the current position of the...
Stephan Kreutzer, Sebastian Ordyniak
WG
2004
Springer
14 years 2 months ago
Treelike Comparability Graphs: Characterization, Recognition, and Applications
An undirected graph is a treelike comparability graph if it admits a transitive orientation such that its transitive reduction is a tree. We show that treelike comparability graphs...
Sabine Cornelsen, Gabriele Di Stefano
ICALP
2011
Springer
13 years 13 days ago
Compact Navigation and Distance Oracles for Graphs with Small Treewidth
Given an unlabeled, unweighted, and undirected graph with n vertices and small (but not necessarily constant) treewidth k, we consider the problem of preprocessing the graph to bui...
Arash Farzan, Shahin Kamali
NETWORKS
2008
13 years 9 months ago
Lower bounds for two-period grooming via linear programming duality
In a problem arising in grooming for two-period optical networks, it is required to decompose the complete graph on n vertices into subgraphs each containing at most C edges, so t...
Charles J. Colbourn, Gaetano Quattrocchi, Violet R...
CCCG
2009
13 years 10 months ago
Nucleation-free 3D rigidity
All known examples of generic 3D bar-and-joint frameworks where the distance between a non-edge pair is implied by the edges in the graph contain a rigid vertexinduced subgraph. I...
Jialong Cheng, Meera Sitharam, Ileana Streinu