A proof of the cyclotomic conjecture and the non-existence of almost Moore digraphs

Jaskaran Kaur, Hitesh Kumar

For $n>2$ and $k>1$, define the polynomial \[F_{n,k}(x) = Φ_n(1 + x + \cdots + x^k),\] where ${\Phi }_n$ denotes the $n$-th cyclotomic polynomial. The \emph{cyclotomic conjecture} propos…