摘要
Let G be a graph with adjacency matrix (Formula presented.). The transition matrix of G corresponding to (Formula presented.) is denoted as (Formula presented.). If there is some time (Formula presented.) such that (Formula presented.) has unit modulus, where u and v are distinct vertices in G, then we say that G admits perfect state transfer from u to v. In this paper, we first show that a non-complete extended p-sum (NEPS) with badly decomposed factors has no perfect state transfer. And then, we prove that NEPS of a cube with odd distance has perfect state transfer when the sum of elements in its basis is not zero and that NEPS of a cube with even distance exhibits perfect state transfer if and only if there is a tuple in the basis such that it has exact one coordinate which is valued 1.
源语言 | 英语 |
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页(从-至) | 1518-1533 |
页数 | 16 |
期刊 | Linear and Multilinear Algebra |
卷 | 68 |
期 | 8 |
DOI | |
出版状态 | 已出版 - 2 8月 2020 |