English

A relative bound for independence

Combinatorics 2023-11-17 v1

Abstract

We prove an upper bound for the independence number of a graph in terms of the largest Laplacian eigenvalue, and of a certain induced subgraph. Our bound is a refinement of a well-known Hoffman-type bound.

Keywords

Cite

@article{arxiv.1901.00585,
  title  = {A relative bound for independence},
  author = {Bogdan Nica},
  journal= {arXiv preprint arXiv:1901.00585},
  year   = {2023}
}

Comments

10 pages; preprint, comments are welcome

R2 v1 2026-06-23T07:01:54.989Z