English

Transitive regular $q$-analogs of graphs

Combinatorics 2024-06-12 v1

Abstract

In 1976, Delsarte introduced the notion of qq-analogs of designs, and qq-analogs of graphs were introduced recently by M. Braun et al. In this paper, we extend that study by giving a method for constructing transitive regular qq-analogs of graphs. Further, we illustrate the method by giving some examples. Additionally, we introduced the notion of qq-analogs of quasi-strongly regular graphs and give examples of transitive qq-analogs of quasi-strongly regular graphs coming from spreads.

Cite

@article{arxiv.2406.07118,
  title  = {Transitive regular $q$-analogs of graphs},
  author = {Dean Crnkovic and Vedrana Mikulic Crnkovic and Andrea Svob and Matea Zubovic Zutolija},
  journal= {arXiv preprint arXiv:2406.07118},
  year   = {2024}
}

Comments

9 pages

R2 v1 2026-06-28T17:01:05.420Z