S. Duraimurugan, A. Shanmuga Vadivu, A. Muthusamy
Published 2022-06-20Version 1
In this paper, we prove that almost resolvable $k$-cycle systems (briefly $k$-ARCS) of $(K_u \times K_g)(\lambda)$ exists for all $k \equiv 0(mod \ 4) $ with few possible exceptions, where $\times$ represents tensor product of graphs.
Constructions of almost resolvable $k$-cycle systems of order $2k+1$ with $k\equiv 2\pmod 4$
Spectrum of $3$-uniform $6$- and $9$-cycle systems over $K_v^{(3)}-I$
Sufficient conditions for STS$(3^k)$ of 3-rank $\leq 3^k-r$ to be resolvable
![QR code for arXiv:2206.09695 [math.CO]](http://oss.arxitics.com/images/favicon.svg)