Research Article

On Evenly-Equitable, Balanced Edge-Colorings and Related Notions

Table 1


has an even, balanced, equalized -edge-coloring for each positive integer
by ()
has an evenly-equitable, equalized -edge-coloring for each positive integer

has an even, balanced -edge-coloring for each positive integer
by Theorem 1
has an evenly-equitable, balanced -edge-coloring for each positive integer

is any graph
by Theorem 8
has a balanced, equalized -edge-coloring for each positive integer

is even
by Theorem 9
has an evenly-equitable -edge-coloring for each positive integer