Title
Rainbow hamilton cycles in random graphs
Abstract
AbstractOne of the most famous results in the theory of random graphs establishes that the threshold for Hamiltonicity in the Erdï s-Rényi random graph Gn,p is around p~logn+loglognn. Much research has been done to extend this to increasingly challenging random structures. In particular, a recent result by Frieze determined the asymptotic threshold for a loose Hamilton cycle in the random 3-uniform hypergraph by connecting 3-uniform hypergraphs to edge-colored graphs.
Year
DOI
Venue
2014
10.1002/rsa.20475
Periodicals
Keywords
Field
DocType
coloring,Hamilton cycles,random graphs
Discrete mathematics,Edge coloring,Random regular graph,Combinatorics,Indifference graph,Random graph,Chordal graph,Hypergraph,1-planar graph,Mathematics,Graph coloring
Journal
Volume
Issue
ISSN
44
3
1042-9832
Citations 
PageRank 
References 
10
0.92
13
Authors
2
Name
Order
Citations
PageRank
Alan M. Frieze14837787.00
Po-Shen Loh213318.68