4 problems

Odd-cycle naive-dimension conjecture. The cyclic interval lemma holds for every odd $m$; consequently,

Let $AC(d,k)$ be the order of an extremal Abelian Cayley graph of degree $d$ and diameter $k$, and let $CC(d,k)$ be the order of an extremal circulant graph of degree $d$ and diame…

For an Abelian Cayley graph of degree $d$ and diameter $k$, let $f=\lfloor d/2\rfloor$. The conjectured coefficient relationships are known from comparisons of extremal and largest…

For an Abelian Cayley graph of degree $d$ and diameter $k$, let $f=\lfloor d/2\rfloor$. The order bounds and the known extremal and largest-known circulant families are compared th…