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JGT
2007
99views more  JGT 2007»
15 years 2 months ago
Backbone colorings for graphs: Tree and path backbones
We introduce and study backbone colorings, a variation on classical vertex colorings: Given a graph G = (V, E) and a spanning subgraph H of G (the backbone of G), a backbone color...
Hajo Broersma, Fedor V. Fomin, Petr A. Golovach, G...
CORR
2010
Springer
105views Education» more  CORR 2010»
15 years 2 months ago
Exact Shortest Path Queries for Planar Graphs Using Linear Space
We provide the first linear-space data structure with provable sublinear query time for exact point-topoint shortest path queries in planar graphs. We prove that for any planar gr...
Shay Mozes, Christian Sommer
101
Voted
MST
2010
106views more  MST 2010»
15 years 23 days ago
Constrained-Path Labellings on Graphs of Bounded Clique-Width
Given a graph G we consider the problem of preprocessing it so that given two vertices x,y and a set X of vertices, we can efficiently report the shortest path (or just its length...
Bruno Courcelle, Andrew Twigg
SOICT
2010
14 years 9 months ago
Constraint-based local search for solving non-simple paths problems on graphs: application to the routing for network covering p
Routing problems have been considered as central problems in the fields of transportation, distribution and logistics. LS(Graph) is a generic framework allowing to model and solve...
Pham Quang Dung, Phan-Thuan Do, Yves Deville, Tuon...
FOCS
1995
IEEE
15 years 5 months ago
Disjoint Paths in Densely Embedded Graphs
We consider the following maximum disjoint paths problem (mdpp). We are given a large network, and pairs of nodes that wish to communicate over paths through the network — the g...
Jon M. Kleinberg, Éva Tardos