2022/10/17 by Xing-Kun Song, Huiqiu Lin, Song, Xing-Kun +1
Mathematics · #05C50 #81P45 #81P68 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05C50 #msc:81P45 #msc:81P68
paper · pdf · doi:10.48550/arxiv.2210.08693
18 pages, 3 figures. arXiv admin note: text overlap with arXiv:2204.05026
arxiv created 2022/10/17 · arxiv updated 2022/10/18
A mixed circulant graph is called integral if all eigenvalues of its Hermitian adjacency matrix are integers. The main purpose of this paper is to investigate the existence of perfect state transfer (PST for short) and multiple state transfer (MST for short) on integral mixed circulant graphs. Concretely, we provide sufficient and necessary conditions for the existence of PST and MST between specified pairs of vertices on integral mixed circulant graphs, respectively.