Article ID Journal Published Year Pages File Type
4652941 Electronic Notes in Discrete Mathematics 2007 7 Pages PDF
Abstract

We prove that every connected triangle-free graph on n vertices contains an induced tree on vertices, where c is a positive constant. The best known upper bound is . This partially answers questions of Erdős, Saks, and Sós and of Pultr.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics