Title
The End-to-end Longest Path Problem on a Mesh with a Missing Vertex.
Abstract
The longest path problem is a generalization of the well known Hamiltonian path problem. It has been shown that the longest path problem is NP-complete. Many researchers try to solve it on some special classes of graphs. Another practical generalization is given two vertices and tries to find a longest path between these two vertices. It is called the end-to-end longest path problem. In this paper, we consider this general problem on a mesh. We generalize a previous work to solve the problem on meshes with one missing vertex in linear time. Further research opportunities and improvements are also suggested.
Year
DOI
Venue
2014
10.3233/978-1-61499-484-8-59
Frontiers in Artificial Intelligence and Applications
Keywords
Field
DocType
Rectangular Grid Graph,Mesh,Longest Path,Hamiltonian Path
Discrete mathematics,Shortest path problem,Vertex (geometry),End-to-end principle,Computer science,Vertex (graph theory),Parallel computing,Longest path problem
Conference
Volume
ISSN
Citations 
274
0922-6389
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Ting-Wei Chang1245.30
Ondrej Navrátil200.34
Sheng-Lung Peng334.10