English

Sharp bounds for the number of maximal independent sets in trees of fixed diameter

Combinatorics 2008-12-31 v1

Abstract

We obtain sharp lower and upper bounds for the number of maximal (under inclusion) independent sets in trees with fixed number of vertices and diameter. All extremal trees are described up to isomorphism.

Keywords

Cite

@article{arxiv.0812.4948,
  title  = {Sharp bounds for the number of maximal independent sets in trees of fixed diameter},
  author = {Alexander Dainiak},
  journal= {arXiv preprint arXiv:0812.4948},
  year   = {2008}
}

Comments

12 pages, 9 figures