Adjacent-vertex Distinguishing Total Chromatic Numbers of Compound Intersecting Cycles

In order to discuss the conjecture of adjacent vertex distinguishing total colorings further more, a type of planar graph called compound intersecting cycles has been studied for the first time. Through researching, the vertex distinguishing total chromatic numbers of compound intersecting cycles are exactly evaluated here. By the technique of splitting edges, general compound intersecting cycles can be obtained from some particular compound intersecting cycles of small scales, and their vertex distinguishing total chromatic numbers have been determined.