Geodesic
Enumeration of strictly Deza graphs with at most $21$ vertices
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1423-1432

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A Deza graph $\Gamma$ with parameters $(v,k,b,a)$ is a $k$-regular graph with $v$ vertices such that any two distinct vertices have $b$ or $a$ common neighbours, where $b \geqslant a$. A Deza graph of diameter $2$ which is not a strongly regular graph is called a strictly Deza graph. We find all $139$ strictly Deza graphs up to $21$ vertices and list corresponding constructions and properties.
Keywords: Deza graph, strictly Deza graph, strongly regular graph, dual Seidel switching. 
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     title = {Enumeration of strictly {Deza} graphs with at most $21$ vertices},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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S. V. Goryainov; D. I. Panasenko; L. V. Shalaginov. Enumeration of strictly Deza graphs with at most $21$ vertices. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1423-1432. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a41/