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DM
2006
64views more  DM 2006»
14 years 12 months ago
Path extendability of claw-free graphs
Let G be a connected, locally connected, claw-free graph of order n and x, y be two vertices of G. In this paper, we prove that if for any 2-cut S of G, S {x, y} = , then each (x...
Yu Sheng, Feng Tian, Jianglu Wang, Bing Wei, Yongj...
ORL
2007
82views more  ORL 2007»
14 years 11 months ago
The path partition problem and related problems in bipartite graphs
We prove that it is NP-complete to decide whether a bipartite graph of maximum degree three on nk vertices can be partitioned into n paths of length k. Finally, we propose some ap...
Jérôme Monnot, Sophie Toulouse
CEC
2008
IEEE
15 years 6 months ago
Path optimization for multiple objectives in directed graphs using genetic algorithms
Abstract— This paper presents a genetic algorithmic approach for finding efficient paths in directed graphs when optimizing multiple objectives. Its aim is to provide solutions...
Juan Rada, Ruben Parma, Wilmer Pereira
JGT
2007
99views more  JGT 2007»
14 years 11 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»
14 years 12 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