Title
On the visibility graph of convex translates
Abstract
We show that the visibility graph of a set of non-intersecting translates of the same compact convex object in R 2 always contains a Hamiltonian path. Furthermore, we show that every other edge in the Hamiltonian path can be used to obtain a perfect matching that is realized by a set of non-intersecting lines of sight.
Year
DOI
Venue
2001
10.1016/S0166-218X(00)00270-5
Discrete Applied Mathematics
Keywords
Field
DocType
convex translates,visibility graph,computational geometry,hamiltonian path,matching
Graph theory,Discrete mathematics,Visibility,Combinatorics,Visibility graph,Hamiltonian path,Matching (graph theory),Triangulation (social science),Hamiltonian path problem,Factor-critical graph,Mathematics
Journal
Volume
Issue
ISSN
113
2-3
Discrete Applied Mathematics
Citations 
PageRank 
References 
3
0.57
5
Authors
3
Name
Order
Citations
PageRank
Kiyoshi Hosono16011.01
Henk Meijer2753100.25
David Rappaport330.57