Cyclooctane is mainly used in the synthesis of cyclooctanone,
cyclooctanol, caprolactam and octanoic acid. At the same time, it can
also be used as an intermediate in organic synthesis and a chemical
reagent. By discussing the resistance distance between any two points of
cyclooctane derivative Tn(C8), some invariants about resistance distance
are obtained, such as Kirchhoff index, multiplicative degree-Kirchhoff
index, and additive degree-Kirchhoff index. Topological index can help
scholars better understand some physical and chemical properties of
compounds, and we obtain the closed expressions of valency-based
topological indices for Tn(C8), such as ABC index, GA index, etc.