6 papers
Induced Subgraphs of Order Seven and Their Frequencies in
Reimbay Reimbayev
In this paper, we examine the structure of strongly regular graphs with parameters and . In particular, we provide a complete classification of induced subgraphs of or…
Hamiltonian Subgraphs of Order Seven in
Reimbay Reimbayev
Strongly regular graphs are highly symmetrical and can be described fully with just a few parameters, yet the existence of many of them is still under the question. In this paper,…
Nonexistence of : Combinatorial Proof
Reimbay Reimbayev
An is the graph with the smallest parameter set in the family of strongly regular graphs with parameters and for which the respective graph doesn't ex…
The Subgraphs of Order Six of the Family of Strongly Regular Graphs with Parameters and
Reimbay Reimbayev
Strongly regular graphs are highly symmetrical and can be described fully with just a few parameters yet the existence of many of them is still under the question. Due to this unce…
On the Spectrum of Locally Linear Graphs
Reimbay Reimbayev
For a locally linear graph , which is a graph built out of triangles, it is possible to construct another graph that would consist of triangles of as vertices, while s…
The Lower Bound for Number of Hexagons in Strongly Regular Graphs with Parameters and
Reimbay Reimbayev
The existence of has been a question of interest for several decades to the moment. In this paper we consider the structural properties in general for the family o…