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» Graphs with Bounded Induced Distance
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WG
2009
Springer
15 years 9 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
15 years 8 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
14 years 6 months 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
15 years 3 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
15 years 4 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