FIRST ZAGREB MATRIX AND ENERGY OF A T2 HYPERGRAPH

Abstract

Let H be a T2 hypergraph of order n≥4. The first Zagreb matrix of H, denoted by Z(H) is defined as the square matrix of ordern, whose (i,j) th entry is di+dj if xi and xj are adjacent and zero for other cases. The first Zagreb energy ZE(H) of H is the sum of the absolute values of the eigenvalues of Z(H). It is shown that, for a T2 hypergraph ZE (H)≤ √2(n2+3n+1) √3 .