Randic Skew - Hermitian Matrix and Randic Skew - Hermitian Energy of Mixed Middle Graphs

Abstract

Let 〖SH(M〗_di) be the matrix of Skew-Hermitian adjacency and let M_dibe an asymmetrical middle graph. A latterly weighed Skew-Hermitian connection matric can be obtained as we proceed assign a Randic the amount as to each curve and boundary in  〖SH(M〗_di). In light of here, we as a species describe the Randic Skew-Hermitian matrix using these Skew-Hermitian adjacency matrix features. 〖R^*〗_SH (M_di )=(〖r^*〗_SH )_xy within a asymmetrical graph M_di Whereas (〖r^*〗_SH )_xy=((-i)/√(d_x d_y ))  (i=√(-1)  if (v_x,v_y )) is an arc of M_di, (〖r^*〗_SH )_xy=(i/√(d_x d_y ))(i=√(-1)  if (v_x,v_y ))  is an arc of M_di, (〖r^*〗_SH )_xy=((-1)/√(d_x d_y )) if (v_x,v_y ) is an undirected edge of M_di, and  (〖r^*〗_SH )_xy=0 if   of M_di. The main purpose of this study is to calculate the Randic Skew-Hermitian matrix of a asymmetrical middle graph's characteristic polynomial. Moreover, we provide boundaries on the applicable asymmetrical middle graph's Randic Skew-Hermitian energy. Finally, we provide some findings regarding the asymmetrical middle graphs' Randic energy with skew-Hermitian .