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- W2979936783 abstract "In this paper, first it is shown that the FSibonacci $(p,r)$-cube(denoted as $IGamma_{n}^{(p,r)}$) studied in many papers, such as cite{OZY}, cite{K1}, cite{OZ}, cite{KR} and cite{JZ}, is a new topological structure different from the original one (denoted as $OGamma_{n}^{(p,r)}$) presented by Egiazarian and Astola $cite{EA}$. Then some topological properties of $IGamma_{n}^{(p,r)}$ and $OGamma_{n}^{(p,r)}$ are studied, including the recursive structure of them, the cubes $OGamma_{n}^{(p,r)}$ which are partial cubes and median graphs, some distance invariants of $IGamma_{n}^{(p,r)}$ and $OGamma_{n}^{(p,r)}$, and the maximum and minimum degree of these two types of cubes. Finally, several problems and conjectures on $IGamma_{n}^{(p,r)}$ and $OGamma_{n}^{(p,r)}$ are listed" @default.
- W2979936783 created "2019-10-18" @default.
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- W2979936783 date "2019-10-13" @default.
- W2979936783 modified "2023-09-27" @default.
- W2979936783 title "On the Fibonacci $(p,r)$-cubes" @default.
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