Title
The Square of a Hamiltonian Cycle
Abstract
Let C be a cycle. The square of C is the graph obtained by joining every pair of vertices of distance 2 in C. Let G be a graph on n vertices with minimum degree $\delta(G)$. This paper proves that, if $\delta(G)\geq \frac{5}{7}n$ , then G contains the square of a Hamiltonian cycle.
Year
DOI
Venue
1994
10.1137/S0895480192232254
SIAM J. Discrete Math.
Keywords
Field
DocType
n vertex,hamiltonian cycle,minimum degree
Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Hamiltonian path,Mathematics
Journal
Volume
Issue
ISSN
7
2
0895-4801
Citations 
PageRank 
References 
12
2.38
0
Authors
2
Name
Order
Citations
PageRank
Genghua Fan141265.22
Roland Haggkvist2122.38