Title
A Note on Caterpillar-Embeddings with No Two Parallel Edges
Abstract
Let G be a set of n points in general position (i.e., no three points are on a line) in the plane, and let C be a caterpillar on n vertices. We show that one can always find a rectilinear embedding of C in the plane such that the vertices of C are the points of G and no two edges of C go to parallel segments. This proves a conjecture of Robert E. Jamison.
Year
DOI
Venue
2005
10.1007/s00454-004-1142-2
Discrete & Computational Geometry
Keywords
Field
DocType
Computational Mathematic,General Position,Parallel Edge,Parallel Segment,Rectilinear Embedding
Topology,Combinatorics,General position,Embedding,Vertex (geometry),Conjecture,Multiple edges,Mathematics
Journal
Volume
Issue
ISSN
33
2
0179-5376
Citations 
PageRank 
References 
1
0.36
3
Authors
2
Name
Order
Citations
PageRank
Daniel J. Kleitman1854277.98
Rom Pinchasi220936.14