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- W2406950345 abstract "We study state transfer in quantum walk on graphs relative to the adjacency matrix. Our motivation is to understand how the addition of pendant subgraphs affect state transfer. For two graphs $G$ and $H$, the Frucht-Harary corona product $G circ H$ is obtained by taking $|G|$ copies of the cone $K_{1} + H$ and by connecting the conical vertices according to $G$. Our work explores conditions under which the corona $G circ H$ exhibits state transfer. We also describe new families of graphs with state transfer based on the corona product. Some of these constructions provide a generalization of related known results." @default.
- W2406950345 created "2016-06-24" @default.
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- W2406950345 date "2016-05-17" @default.
- W2406950345 modified "2023-10-15" @default.
- W2406950345 title "Quantum State Transfer on Coronas" @default.
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