Title
Blockers for Simple Hamiltonian Paths in Convex Geometric Graphs of Even Order.
Abstract
Let be a complete convex geometric graph on 2 vertices, and let be a family of subgraphs of . A for is a set of edges, of smallest possible size, that meets every element of . In Keller and Perles (Israel J Math 187:465–484, ) we gave an explicit description of all blockers for the family of simple perfect matchings (SPMs) of . In this paper we show that the family of simple Hamiltonian paths in has exactly the same blockers as the family of SPMs. Our argument is rather short, and provides a much simpler proof of the result of Keller and Perles ().
Year
DOI
Venue
2018
https://doi.org/10.1007/s00454-017-9921-8
Discrete & Computational Geometry
Keywords
Field
DocType
Geometric graph,Simple Hamiltonian path,Blocker,Caterpillar,05C30,05C62
Discrete mathematics,Graph,Combinatorics,Spatial network,Hamiltonian (quantum mechanics),Regular polygon,Mathematics
Journal
Volume
Issue
ISSN
60
1
0179-5376
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Chaya Keller134.52
Micha A. Perles23810.65