@inproceedings{6b5656c9078f449c9add20f95bcb17f4,

title = "Properties of adjacency, in-degree Laplacian, and out-degree Laplacian matrices of directed cyclic sun graph",

abstract = "A directed graph can be represented by several matrix representations, such as adjacency matrix, in-degree Laplacian matrix, and out-degree Laplacian matrix. A directed cyclic sun graph is a directed graph which is obtained by adding a directed edge and a vertex called the outer vertex as its tail to every vertex in the directed cycle graph. The inner vertices always form a directed cycle graph. The directed edges in the cycle graph is oriented in such a away so that clockwise. In this paper we give the properties of adjacency, in-degree Laplacian, and out-degree Laplacian matrices of directed cyclic sun graph such as characteristic polynomial and eigenvalues. The eigenvalues of the matrices mentioned above can be real or complex numbers.",

keywords = "adjacency matrix, characteristic polynomials, directed cyclic sun graph, eigenvalues, in-degree Laplacian matrix, out-degree Laplacian matrix",

author = "Prayitno, {Muhammad Irfan Arsyad} and Suarsih Utama and Siti Aminah and Silaban, {Denny Riama}",

year = "2019",

month = dec,

day = "19",

doi = "10.1063/1.5139137",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Herni Utami and Kusumo, {Fajar Adi} and Nanang Susyanto and Yeni Susanti",

booktitle = "Proceedings of the 8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019",

note = "8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations ; Conference date: 29-07-2019 Through 01-08-2019",

}