Properties of anti-adjacency matrix of directed cyclic sun graph

M. I.A. Prayitno, S. Utama, S. Aminah

Research output: Contribution to journalConference article

Abstract

In this paper we focus on the properties of anti-adjacency matrix of directed cyclic sun graph. Some of these properties are related to the characteristic polynomials and the eigenvalues of the anti-adjacency of its matrix. We will show the general form of characteristic polynomial of the anti-adjacency matrix of directed cyclic sun graph by figuring out the number of the directed induced-cyclic graphs and the directed induced-acyclic graphs. After we find out the general form of the characteristic polynomial, we can find the general form of the eigenvalues of its polynomial by using factorization and Horner methods.

Original languageEnglish
Article number012020
JournalIOP Conference Series: Materials Science and Engineering
Volume567
Issue number1
DOIs
Publication statusPublished - 15 Aug 2019
Event3rd Indonesian Operations Research Association - International Conference on Operations Research 2018, IORA-ICOR 2018 - Manado and Minahasa, North Sulawesi, Indonesia
Duration: 20 Sep 201821 Sep 2018

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