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 language | English |
|---|---|
| Article number | 012020 |
| Journal | IOP Conference Series: Materials Science and Engineering |
| Volume | 567 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 15 Aug 2019 |
| Externally published | Yes |
| Event | 3rd Indonesian Operations Research Association - International Conference on Operations Research 2018, IORA-ICOR 2018 - Manado and Minahasa, North Sulawesi, Indonesia Duration: 20 Sept 2018 → 21 Sept 2018 |