The HARARY INDEX H can be viewed as a molecular structure descriptor composed of increments representing interactions between pairs of atoms, such that their magnitude decreases with the increasing distance between the respective two atoms. A generalization of the HARARY INDEX, denoted by Hk, is achieved by employing the Steiner type distance between k -tuples of atoms. We show that the linear combination H+lH3 is significantly better correlated with a variety of physico-chemical properties of alkanes than H itself.

The HARARY INDEX H(G) of a connected graph Gis defined as H(G) = ∑ _u, v∊ V(G) 1/d_G(u, v), where d_G(u, v) is the distance between vertices u and v of G. The Steiner distance in agraph, introduced by Chartrand et al. in 1989, is a natural generalization of the concept of classical graph distance. For a connected graph G of order at least 2 and S ⊆ V(G), the Steiner distance d_G(S) of the vertices of S is the minimum size of a connected subgraph whose vertex set contains S. Recently, Furtula, Gutman, and Katanić introduced the concept of Steiner HARARY INDEX and gave its chemical applications...

Let G be a connected graph, and let D[G] denote the double graph of G. In this paper, we first derive closed-form formulas for some distance based topological indices for D[G] in terms of G. Finally, these formulas are applied for several special kinds of graphs, such as, the complete graph, the path and the cycle.

HARARY and Wiener indices are distance-based topological INDEX. In this paper, we study the relations of graph energy $\varepsilon(G)$ and its HARARY INDEX $\textup{H}(G)$ and Wiener INDEX $\textup{W}(G)$. Moreover, for a given graph $G$ we study the lower bound of $\frac{\textup{H}(G)}{\varepsilon(G)}$ and $\frac{\textup{W}(G)}{\varepsilon(G)}$ in terms of number of vertices of $G$.

Recently, Hua et al. defined a new topological INDEX based on degrees and inverse of distances between all pairs of vertices. They named this new graph invariant as reciprocal degree distance as RDD(G) =å{u,n}ÍV(G)(d(u) + d(n))[d(u,n)]-1, where the d(u,n) denotes the distance between vertices u and n. In this paper, we compute this topological INDEX for Grassmann graphs.

The reciprocal degree distance (RDD), defined for a connected graph G as vertex-degree- weighted sum of the reciprocal distances, that is, RDD (G) = S u, vÎV (G) dG (u)+dG (v)/dG (u, v). The reciprocal degree distance is a weight version of the HARARY INDEX, just as the degree distance is a weight version of the Wiener INDEX. In this paper, we present exact formulae for the reciprocal degree distance of join, tensor product, strong product and wreath product of graphs in terms of other graph invariants including the degree distance, HARARY INDEX, the first Zagreb INDEX and first Zagreb coINDEX. Finally, we apply some of our results to compute the reciprocal degree distance of fan graph, wheel graph, open fence and closed fence graphs.

Background and objectives: Carpal Tunnel Syndrome (CTS) is the most common mononeuropathy encountered in clinical practice. Conventional electro diagnosis studies have been useful in the diagnosis of this condition. The Terminal Latency INDEX (TLI) is a derived neurophysiological value that adjusts the Distal motor Latency (DL) for the terminal distance and motor nerve Conduction Velocity (CV).Several studies have suggested utility of the median TLI for diagnosis of CTS.The goal of this study is to evaluate prospectively the sensitivity of the median TLI in the diagnosis of CTS and compare it with other electrodiagnosis techniques.Material and Methods: This study was done on 111 patients as CTS group & 62 healthy subject as control group. In all groups five selected tests of electrodiagnosis were done and all of them were compared with TLI sensitivity.Results: The mean TLI was 0.3±0.05 in the CTS group and 0.42±0.03 in the control group. The sensitivity of TLI was 73% The TLI wasn't statistically better than the other tests, but in three cases from the CTS group, the TLI was the only abnormal test.The 7 and 14 cm method had meaningful sensitivity in contrary to other tests.Conclusion: The sensitivity of TLI has no meaningful difference with other routine electro diagnostic tests in diagnosis of CTS.The median TLI is a useful but not more sensitive electrodiagnostic test for CTS.

Introduction: Three methods of OCRA INDEX, Strain INDEX (SI), and ACGIH HAL have been proposed for the assessment of risk factors of upper limb musculoskeletal disorders. Investigating the correlation and consistency of these three methods are of prominence importance in the workplaces. Thus, this study aimed to determine the correlations of the results of the above mentioned methods. Materials and Methods: In this cross-sectional study, a total of 150 tasks were studied in four industries. For each task, a video taping of a full working cycle was prepared and evaluated according to the instructions of each method. The level of risk exposure to musculoskeletal disorders was analyzed with correlation and Kappa agreement coefficient tests using SPSS (version 16) and R software packages.Results: The correlation between the results of risk assessments of OCRA and SI methods for right and left hands were acceptable and equal to 0.751 and 0.726, respectively (p<0.001). Meanwhile, the coefficients of agreement between OCRA and HAL methods for left and right hands were 0.526 and 0.595, respectively.Conclusion: These findings partly confirmed the agreement between the methods of risk assessment. The origin of this partial agreement can be the number and type of variables and their impacts on the final score of the methods.