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 -