Institutional Repository UIN Sunan Kalijaga YogyakartaNILAI EIGEN PADA MATRIKS ANTIADJACENCY DARI GRAF IDENTITAS GRUP SIKLIK ATAS BILANGAN BULAT BERORDO GENAPNIM.: 22106010032Atina Putri SholihahauthorAn 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.510 Mathematics (Matematika)2026-02-23UIN SUNAN KALIJAGA YOGYAKARTA;FAKULTAS SAINS DAN TEKNOLOGIThesis

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