On partition dimension of fullerene graphs
Let $G=(V(G),E(G))$ be a connected graph and $\Pi=\{S_{1},S_2,\dots,S_{k}\}$ be a $k$-partition of $V(G)$.The representation $r(v|\Pi)$ of a vertex $v$ with respect to $\Pi$ is the vector $(d(v,S_{1}),d(v,S_2),\dots,d(v,S_{k}))$, where $d(v,S_{i})=\min\{d(v,s_{i})\mid s_{i}\in S_{i}\}$.The partition...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2018-07-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/10.3934/Math.2018.3.343/fulltext.html |