DETERMINANT OF ADJACENCY MATRIX OF SQUARE CYCLE GRAPH

Abstract

Square Cycle, C 2 n is a graph that has n vertices and two vertices u and v are adjacent if and only if distance between u and v not greater than 2. In this paper, we show that the determinant of adjacency matrix of square cycle C 2 n are as follows 0, n ≡ 0, 2, 4 mod 6, 16, n ≡ 3 mod 6, 4, n ≡ 1, 5 mod 6.