An injective k-edge coloring of a graph
$$G=(V(G),E(G))$$
is a k-edge coloring
$$\varphi $$
of G such that
$$\varphi (e_1)\ne \varphi (e_3)$$
for any three consecutive edges
$$e_1,e_2$$
and
$$e_3$$
of a path or a 3-cycle. The injective edge chromatic index of G, denoted by
$$\chi _i'(G)$$
, is the minimum k such that G has an injective k-edge coloring. In this paper, we consider the injective edge coloring of the generalized Petersen graph P(n,k). We show that
$$\chi _i'(P(n,k))\le 4$$
if
$$n\equiv 0(mod~4)$$
...
