Transitive regular q-analogs of graphs

Abstract

In 1976, Delsarte introduced the notion of q-analogs of designs, and q-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 q-analogs of graphs. Further, we illustrate the method by giving some examples. Additionally, we introduced the notion of q-analogs of quasi-strongly regular graphs and give examples of transitive q-analogs of quasi-strongly regular graphs coming from spreads.

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