Abstract
The Kirchhoff index and degree-Kirchhoff index have attracted extensive attentions due to their wide applications in physics and chemistry. These indices have been computed for many interesting graphs, such as linear polyomino chain, linear/Möbius/cylinder hexagonal chain, and linear octagonal chain. In the present paper, we consider Möbius octagonal chain (Mn) and cylinder octagonal chain (Mn′). Explicit closed-form formulae of the Kirchhoff index and the number of spanning trees are obtained for Mn and Mn′.
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