Title
Every graph occurs as an induced subgraph of some hypohamiltonian graph.
Abstract
We prove the titular statement. This settles a problem of Chvatal from 1973 and encompasses earlier results of Thomassen, who showed it for K-3, and Collier and Schmeichel, who proved it for bipartite graphs. We also show that for every outerplanar graph there exists a planar hypohamiltonian graph containing it as an induced subgraph.
Year
DOI
Venue
2018
10.1002/jgt.22228
JOURNAL OF GRAPH THEORY
Keywords
Field
DocType
hypohamiltonian,induced subgraph
Graph,Outerplanar graph,Combinatorics,Bipartite graph,Hypohamiltonian graph,Induced subgraph,Mathematics
Journal
Volume
Issue
ISSN
88.0
4.0
0364-9024
Citations 
PageRank 
References 
1
0.43
5
Authors
2
Name
Order
Citations
PageRank
Carol T. Zamfirescu13815.25
Tudor Zamfirescu27716.85