Gutman recently introduced a new vertex-degree-based topological index called the Sombor index. In this paper, we present some new results relating the Sombor index and some well-studied topological indices: Zagreb indices, forgotten index, harmonic index, (general) sum-connectivity index and symmetric division deg index.

‎In this study‎, ‎we find some bounds for the Sombor index of a graph‎ ‎$G$‎ ‎by some topological and statistical indices such as {\it arithmetic index}‎, ‎{\it geometric index}‎, ‎‎ ‎{\it arithmetic-geometric (AG) index}‎, ‎{\it geometric-arithmetic (GA) index}‎, ‎{\it symmetric division degree index (SDD(G))}‎, ‎and some central and dispersion indices‎. ‎The bounds can state estimated values and error intervals for the Somber index and show limits of accuracy‎. ‎Error intervals are expressed as inequalities‎.

Assume denotes a connected and simple graph with edge set  E(G) as well as vertex set ‎V(G). ‎In chemical graph theory‎, ‎the atom-bond connectivity index, as well as the Randić index of graph are two well-defined topological indices‎. ‎In addition‎, ‎Ali and Du [On the difference between  ABC and Randić indices of binary and chemical trees‎, ‎Int‎. ‎J‎. ‎Quantum Chem‎. ‎(2017) e25446] recently unveiled the distinction between Randić and ABC indices‎. ‎In this report‎, ‎we study the link between the difference of Randić and ABC indices with certain well-studied topological indices‎.

Let G be a graph with vertex set V (G) and edge set E(G), and let du denote the degree of vertex u 2 V (G). The Randi c index of G is de ned as R(G) = P 1= p dudv: In this paper, we investigate the relationships between Randi c uv2E(G) index and several topological indices.

In [13] Gutman introduced a novel graph invariant called Sombor index SO, defined via $\sqrt{\deg(u)^{2}+\deg(v)^{2}}.$ In this paper we provide relations between Sombor index and some degree-based topological indices: Zagreb indices, Forgotten index and Randi\' {c} index. Similar relations are established in the class of triangle-free 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.

Introduction: To prevent the adverse effects of fetal malnutrition (FM), its management and early diagnosis by reliable tools are essential. The present study aimed to identify the rate of malnutrition in a referral maternity center in Iran using different systems for evaluating the nutritional status and determining a better index for FM. Methods: This cross-sectional study was performed on the neonates born in the maternity ward of Hajar Hospital in Shahrekord, Iran in 2020. FM was evaluated based on different parameters, including the CANSCORE index, body mass index (BMI), Ponderal index, and mid-arm circumference/head circumference (MAC/HC) index. After recording the measurements, birth weight and height were plotted on the intrauterine growth chart, and the infants were classified into groups of appropriate for gestational age (AGA), small for gestational age (SGA), and large for gestational age (LGA). Results: Based on the fetal growth status index, 14. 7% of the neonates were in the AGA group, and 95. 3% were in the LGA group. Malnourishment was detected in 40. 5% of the neonates based on the CANSCORE index, 8. 3% based on the MAC/HC index, 6. 9% based on the BMI, and 5. 2% based on the Ponderal index. In addition, the CANSCORE index had a significant positive correlation with all the growth indices (except the MAC/HC index), and the Ponderal index was also significantly correlated with all the growth indices except height. Conclusion: According to the results, the CANSCORE index could show growth status and FM more accurately compared to other anthropometric parameters that may underestimate FM. Furthermore, BMI is a highly sensitive indicator, and infants malnourished in terms of BMI should be examined based on the CANSCORE index to accurately identify FM.