This paper will discuss the vertex-distinguishing I-total coloring and vertex-distinguishing VI-total col- oring of star and star linkage graphs, and determine the vertex-distinguishing I-panchromatic number and the vertex-distinguishing VI- panchromatic number of star and star (3≤m≤n≤n +2) linkage graphs by case, which also shows that VDITC conjecture and VDVITC conjecture are valid for such graphs.