Geodesic
Strongly uniform extensions of dual 2-designs
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 1, pp. 35-45

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A strongly $\alpha$-uniform partial space of lines of order $(s,t)$ is called an $\alpha$-partial geometry. If $\alpha=t+1$, then the geometry is called a dual 2-design. Locally triangular and locally Grassman graphs correspond to triangular extensions of certain dual 2-designs, and the class of strongly uniform quasi-biplanes coincides with the class of strongly uniform extensions of dual 2-designs. We study strongly uniform extensions of dual 2-designs.
Keywords: partial geometry; uniform extensions; 2-designs. 
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I. N. Belousov; A. A. Makhnev. Strongly uniform extensions of dual 2-designs. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 1, pp. 35-45. http://geodesic.mathdoc.fr/item/TIMM_2015_21_1_a3/