Article ID Journal Published Year Pages File Type
4652787 Electronic Notes in Discrete Mathematics 2010 8 Pages PDF
Abstract

The Erdős-Gallai Theorem gives the maximum number of edges in a graph without a path of length k. We extend this result for Berge paths in r-uniform hypergraphs. We also find the extremal hypergraphs avoiding t-tight paths of a given length and consider this extremal problem for other definitions of paths in hypergraphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics