Periodicity and perfect state transfer of Grover walks on quadratic unitary Cayley graphs
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DOI: 10.1007/s11128-025-04877-5
Abstract: The quadratic unitary Cayley graph GZn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {G}_{{\mathbb Z}_n}$$\end{document} has vertex set Zn:={0,1,…,n-1}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {Z}_n: =\{0,1, \ldots ,n-1\}$$\end{document}, where… read more here.
Keywords: unitary cayley; documentclass 12pt; document; quadratic unitary ... See more keywords
Hamiltonian properties on a class of circulant interconnection networks
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DOI: 10.2298/fil1801071b
Abstract: Classes of circulant graphs play an important role in modeling interconnection networks in parallel and distributed computing. They also find applications in modeling quantum spin networks supporting the perfect state transfer. It has been noticed… read more here.
Keywords: interconnection; interconnection networks; unitary cayley; class circulant ... See more keywords