English

New infinite family of regular edge-isoperimetric graphs

Combinatorics 2023-07-12 v1

Abstract

We introduce a new infinite family of regular graphs admitting nested solutions in the edge-isoperimetric problem for all their Cartesian powers. The obtained results include as special cases most of previously known results in this area.

Keywords

Cite

@article{arxiv.2307.05332,
  title  = {New infinite family of regular edge-isoperimetric graphs},
  author = {Sergei L. Bezrukov and Pavle Bulatovic and Nikola Kuzmanovski},
  journal= {arXiv preprint arXiv:2307.05332},
  year   = {2023}
}