Abstract
Let n be a positive integer greater than 1, ℤn the ring of integer modulo n, f an endomorphism on ℤn and Un the set of all units in ℤn. The unitary endo-Cayley digraph, denoted by endo-Cayf (ℤn, Un), is the digraph whose vertex set is ℤn and a vertex u is adjacent to v if v = f(u) + u ∈ Un for some u ∈ Un.We study about the edge coloring properties of undirected unitary endo-Cayley graphs, endo-Cayf (ℤn, Un). Their edge chromatic number are disclosed. We also determine what class they are of. Moreover, some basic properties involving edge coloring are investigated.
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