The max–min rodeg (\({M\!m_{sde}}\)) index is a useful topological index in mathematical chemistry. Damir Vuki\(\check{\text {c}}\)evi\(\acute{\text {c}}\) studied the mathematical properties of the max–min rodeg index. In this paper, we determine the n-vertex trees with the second, the third and the fourth for \(n\ge 7\), and the fifth for \(n\ge 10\) minimum \(M\!m_{sde}\) indices, unicyclic graphs with the second and the third for \(n\ge 5\), the fourth, the fifth and the sixth for \(n\ge 7\), and the seventh for \(n\ge 9\) minimum \(M\!m_{sde}\) indices, and bicyclic graphs with the first for \(n\ge 4\), the second and the third for \(n\ge 6\), and the fourth for \(n\ge 8\) minimum \(M\!m_{sde}\) indices.

最大最小罗德（\（{M \！m_ {sde}} \））指数是数学化学中有用的拓扑指数。Damir Vuki \（\ check {\ text {c}} \） evi \（\ acute {\ text {c}} \）研究了max-min rodeg指数的数学性质。在本文中，我们确定n个顶点树，其中第二个，第三个和第四个树用于\（n \ ge 7 \），第五个树用于\（n \ ge 10 \）个最小\（M \！m_ { SDE} \）指数，单圈图与所述第二和第三对\（N \ GE 5 \） ，第四，第五和第六\（N \ GE 7 \） ，和第七\（N \ ge 9 \）最低\（M \！m_ {sde} \）索引和双环图，第一个用于\（n \ ge 4 \），第二个和第三个用于\（n \ ge 6 \），第四个用于\（n \ ge 8 \）最小\（M \ ！m_ {sde} \）索引。