R. Reimbayev

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20242026

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math.CO2025

Hamiltonian Subgraphs of Order Seven in $sr g (n, k, 1, 2)$

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,…

math.CO2025

Nonexistence of $sr g (19, 6, 1, 2)$ : Combinatorial Proof

Reimbay Reimbayev

An $sr g (19, 6, 1, 2)$ is the graph with the smallest parameter set in the family of strongly regular graphs with parameters $λ = 1$ and $μ = 2$ for which the respective graph doesn't exis…

math.CO2025

The Subgraphs of Order Six of the Family of Strongly Regular Graphs with Parameters $λ = 1$ and $μ = 2$

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…

Hamiltonian Subgraphs of Order Seven in srg(n,k,1,2)

Nonexistence of srg(19,6,1,2): Combinatorial Proof

The Subgraphs of Order Six of the Family of Strongly Regular Graphs with Parameters λ=1 and μ=2

Hamiltonian Subgraphs of Order Seven in $sr g (n, k, 1, 2)$

Nonexistence of $sr g (19, 6, 1, 2)$ : Combinatorial Proof

The Subgraphs of Order Six of the Family of Strongly Regular Graphs with Parameters $λ = 1$ and $μ = 2$