TY - GEN
T1 - Properties of adjacency, in-degree Laplacian, and out-degree Laplacian matrices of directed cyclic sun graph
AU - Prayitno, Muhammad Irfan Arsyad
AU - Utama, Suarsih
AU - Aminah, Siti
AU - Silaban, Denny Riama
N1 - Publisher Copyright:
© 2019 Author(s).
PY - 2019/12/19
Y1 - 2019/12/19
N2 - 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.
AB - 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.
KW - adjacency matrix
KW - characteristic polynomials
KW - directed cyclic sun graph
KW - eigenvalues
KW - in-degree Laplacian matrix
KW - out-degree Laplacian matrix
UR - http://www.scopus.com/inward/record.url?scp=85077751519&partnerID=8YFLogxK
U2 - 10.1063/1.5139137
DO - 10.1063/1.5139137
M3 - Conference contribution
AN - SCOPUS:85077751519
T3 - AIP Conference Proceedings
BT - Proceedings of the 8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019
A2 - Utami, Herni
A2 - Kusumo, Fajar Adi
A2 - Susyanto, Nanang
A2 - Susanti, Yeni
PB - American Institute of Physics Inc.
T2 - 8th SEAMS-UGM International Conference on Mathematics and Its Applications 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations
Y2 - 29 July 2019 through 1 August 2019
ER -