In this research paper, we will compute the topological indices (degree based) such as ordinary generalized geometric-arithmetic (OGA) index, first and second Gourava indices, hyper-Gourava general Randic´ index R γ G ,</mo...

in this paper an algorithm for computing the balaban and randic indices of any simple connected graph was introduced. also these indices were computed for ipr c80 fullerene isomers, zigzag nanotubes and graphene by gap program.

General Sparse Matrix-Matrix Multiplication (SpGEMM) has attracted much attention from researchers in graph analyzing, scientific computing, and deep learning. Many optimization techniques have been developed for different applications computing architectures over the past decades. The objective of this paper is to provide a structured comprehensive overview researches on SpGEMM. Existing group...

The objective is to formulate a foundation from which SM, GR and the dark sector are emergent. It is proposed that matrix generators with single entries ±1, ±i over a complex field are the building blocks of all physical states. The axiom that vacuum states have non-zero minima requires that all matrix elements are non-zero. In the paper [1], an extended curvature tensor was calculated and N=6d...

Objectives: The Matrix Model is used for MA dependence in methadone services in Iran, the most populated Persian Gulf country. However, there are no studies of the efficacy of the Matrix Model for MA dependence while in treatment. The present study reports on the efficacy of sixteen weeks of the Matrix Model for MA abstinence and general health.&nbsp; Methods: There were MA-dependent male (n=3...

let $g$ be a simple graph with vertex set $v(g) = {v_1, v_2,ldots, v_n}$ and edge set $e(g) = {e_1, e_2,ldots , e_m}$. similar tothe randi'c matrix, here we introduce the randi'c incidence matrixof a graph $g$, denoted by $i_r(g)$, which is defined as the$ntimes m$ matrix whose $(i, j)$-entry is $(d_i)^{-frac{1}{2}}$ if$v_i$ is incident to $e_j$ and $0$ otherwise. naturally, therandi'c incidenc...