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 |
|---|---|
| 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 |
学术指纹
探究 'Perfect state transfer in NEPS of some graphs' 的科研主题。它们共同构成独一无二的学术指纹。引用此
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