Perfect state transfer in NEPS of some graphs

Shasha Zheng, Xiaogang Liu, Shenggui Zhang

科研成果: 期刊稿件文章同行评审

12 引用 (Scopus)

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
68
8
DOI
出版状态已出版 - 2 8月 2020

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指纹。

引用此