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math.CO2022
A simple proof for the lower bound of the girth of graphs
Vladislav Taranchuk
The components of the graphs provide the best-known general lower bound for the number of edges in a graph with vertices and no cycles of length less than . In thi…
math.CO2022
On the eigenvalues of the graphs
Himanshu Gupta, Vladislav Taranchuk
Let , where is a prime and is a positive integer. The family of graphs , defined for any positive integer and prime power , were introduced by Laze…