English

On Graphs with the Smallest Eigenvalue at Least $-1-\sqrt{2}$, part II

Combinatorics 2011-10-07 v1

Abstract

This is a continuation of the article with the same title. In this paper, the family H is the same as in the previous paper "On Graphs with the Smallest Eigenvalue at Least 12-1-\sqrt{2}, part I". The main result is that a minimal graph which is not an H -line graph, is just isomorphic to one of the 38 graphs found by computer.

Keywords

Cite

@article{arxiv.1110.1240,
  title  = {On Graphs with the Smallest Eigenvalue at Least $-1-\sqrt{2}$, part II},
  author = {Tetsuji Taniguchi},
  journal= {arXiv preprint arXiv:1110.1240},
  year   = {2011}
}

Comments

16 pages

R2 v1 2026-06-21T19:16:03.266Z