Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Faculty Publications

Applied Mathematics

2012

Articles 1 - 1 of 1

Full-Text Articles in Physical Sciences and Mathematics

Independent Dominating Sets In Triangle-Free Graphs, Wayne Goddard, Jeremy Lyle Jan 2012

Independent Dominating Sets In Triangle-Free Graphs, Wayne Goddard, Jeremy Lyle

Faculty Publications

The independent domination number of a graph is the smallest cardinality of an independent set that dominates the graph. In this paper we consider the independent domination number of triangle-free graphs. We improve several of the known bounds as a function of the order and minimum degree, thereby answering conjectures of Haviland.