Inverse Problems of Graph Theory: Graphs Without Triangles

Abstract

Graph r for a distance-regular graph r of diameter 3 can be strongly regular for i 2 or i = 3. Finding intersection array of graph r by t lio parameters of ri is an inverse problem. Earlier direct and inverse problems have been solved by A.A. Makhnev, M.S. Nirova for i = 3 and by A.A. Makhnev and D.V. Paduchikh for i = 2. In this work it is consider the case when graph r3 is strongly regular without triangles and v < 100000. © 2021 Махнев А.А., Белоусов И.Н., Падучих Д.В. All Rights Reserved.