Before revision:  We prove that (m - 4)/8 \left\lfloor {8} }\right\rfloor +g reflex edge guards are sufficient, whereas the previous best known bound was \lfloor 11m/72+g/6 - 1 \rfloor edge guards (not necessarily reflex).
After revision:  We prove that (m - 4)/8 \left\lfloor {8} }\right\rfloor +g reflex edge guards are sufficient, whereas the previous best known bound was \lfloor 11m/72+g/6 - 1 \rfloor-1 edge guards (not necessarily reflex).