Title
On the maximum size of connected hypergraphs without a path of given length.
Abstract
In this note we asymptotically determine the maximum number of hyperedges possible in an r-uniform, connected n-vertex hypergraph without a Berge path of length k, as n and k tend to infinity. We show that, unlike in the graph case, the multiplicative constant is smaller with the assumption of connectivity.
Year
DOI
Venue
2018
10.1016/j.disc.2018.06.006
Discrete Mathematics
Keywords
Field
DocType
Connected,Erdős–Gallai,Berge hypergraph
Discrete mathematics,Graph,Combinatorics,Multiplicative function,Constraint graph,Hypergraph,Infinity,Mathematics
Journal
Volume
Issue
ISSN
341
9
0012-365X
Citations 
PageRank 
References 
0
0.34
2
Authors
5
Name
Order
Citations
PageRank
Ervin Györi18821.62
Abhishek Methuku2189.98
Nika Salia300.68
Casey Tompkins442.48
Máté Vizer52714.06