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- W4288017855 abstract "Let $G$ be a cubic graph and $Pi$ be a polyhedral embedding of this graph. The extended graph, $G^{e},$ of $Pi$ is the graph whose set of vertices is $V(G^{e})=V(G)$ and whose set of edges $E(G^{e})$ is equal to $E(G) cup mathcal{S}$, where $mathcal{S}$ is constructed as follows: given two vertices $t_0$ and $t_3$ in $V(G^{e})$ we say $[t_0 t_3] in mathcal{S},$ if there is a $3$--path, $(t_0 t_1 t_2 t_3) in G$ that is a $Pi$-- facial subwalk of the embedding. We prove that there is a one to one correspondence between the set of possible extended graphs of $G$ and polyhedral embeddings of $G$." @default.
- W4288017855 created "2022-07-26" @default.
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- W4288017855 date "2019-11-26" @default.
- W4288017855 modified "2023-10-17" @default.
- W4288017855 title "Scaffold for the polyhedral embedding of cubic graphs" @default.
- W4288017855 doi "https://doi.org/10.48550/arxiv.1911.11863" @default.
- W4288017855 hasPublicationYear "2019" @default.
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