%0 Journal Article %T Self 2-distance graphs %A Ali Azimi %A Mohammad Farrokhi Derakhshandeh Ghouchan %J Mathematics %D 2015 %I arXiv %X All finite simple self $2$-distance graphs with no $4$-cycle, diamond, or triangles with a common vertex are determined. Utilizing these results, it is shown that there is no cubic self $2$-distance graphs. %U http://arxiv.org/abs/1510.03598v1