eprintid: 76656
rev_number: 17
eprint_status: archive
userid: 12243
dir: disk0/00/07/66/56
datestamp: 2026-06-09 03:05:05
lastmod: 2026-06-09 03:06:05
status_changed: 2026-06-09 03:05:05
type: thesis
metadata_visibility: show
contact_email: muchti.nurhidaya@uin-suka.ac.id
creators_name: Atina Putri Sholihah, NIM.: 22106010032
title: NILAI EIGEN PADA MATRIKS ANTIADJACENCY DARI GRAF IDENTITAS GRUP SIKLIK ATAS BILANGAN BULAT BERORDO GENAP
ispublished: pub
subjects: 560
divisions: jur_mat
full_text_status: restricted
keywords: antiadjacency; graf identitas; Grup Siklik; Nilai Eigen Polinomial
Karakteristik.
note: Deddy Rahmadi, M.Sc.
abstract: An identity graph is a graph constructed by connecting each element with its invers, so that the resulting graph structure has a symmetric adjacency pattern that can be represented by an adjacency matrix. The antiadjacency matrix is the obtained as the complement to the adjacency matrix. In this study, the general formation of both matrices is studied and the characteristic polynomial of the antiadjacency matrix is derived. The analysis continues by determining the eigenvalues as solutions of obtained characteristic polynomial. The main result is a general formula for the characteristic polynomial and its associated eigenvalues for the identity graph Zn with even n.
date: 2026-02-23
date_type: published
pages: 78
institution: UIN SUNAN KALIJAGA YOGYAKARTA
department: FAKULTAS SAINS DAN TEKNOLOGI
thesis_type: skripsi
thesis_name: other
citation:   Atina Putri Sholihah, NIM.: 22106010032  (2026) NILAI EIGEN PADA MATRIKS ANTIADJACENCY DARI GRAF IDENTITAS GRUP SIKLIK ATAS BILANGAN BULAT BERORDO GENAP.  Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.   
document_url: https://digilib.uin-suka.ac.id/id/eprint/76656/1/22106010032_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
document_url: https://digilib.uin-suka.ac.id/id/eprint/76656/2/22106010032_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf