English

Graphs whose all maximal induced forests are of the same order

Combinatorics 2021-06-01 v1

Abstract

In this paper, a new concept in graphs namely well-f-coveredness is introduced. We characterize all graphs with such property, whose maximum induced forests are of boundary order. Also we prove several propositions concerning with obtaining large well-f-covered graphs from smaller ones. By the way, some interesting classes of well-f-covered graphs are characterized.

Keywords

Cite

@article{arxiv.2105.14339,
  title  = {Graphs whose all maximal induced forests are of the same order},
  author = {Reza Jafarpour-Golzari},
  journal= {arXiv preprint arXiv:2105.14339},
  year   = {2021}
}
R2 v1 2026-06-24T02:36:34.797Z