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      Square root stress-sum index for graphs

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          Abstract

          Abstract The stress of a vertex is a centrality index, which has been introduced by Shimbel (1953). The stress of a vertex in a graph is the number of geodesics (shortest paths) passing through it. In this paper, we introduce a new topological index for graphs called square root stress-sum index using stresses of vertices. Further, we establish some inequalities, obtain some results and compute square root stress-sum index for some standard graphs.

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          Most cited references6

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          Cytoscape: a software environment for integrated models of biomolecular interaction networks.

          Paul Shannon, Andrew Markiel, Owen Ozier … (2003)
          Cytoscape is an open source software project for integrating biomolecular interaction networks with high-throughput expression data and other molecular states into a unified conceptual framework. Although applicable to any system of molecular components and interactions, Cytoscape is most powerful when used in conjunction with large databases of protein-protein, protein-DNA, and genetic interactions that are increasingly available for humans and model organisms. Cytoscape's software Core provides basic functionality to layout and query the network; to visually integrate the network with expression profiles, phenotypes, and other molecular states; and to link the network to databases of functional annotations. The Core is extensible through a straightforward plug-in architecture, allowing rapid development of additional computational analyses and features. Several case studies of Cytoscape plug-ins are surveyed, including a search for interaction pathways correlating with changes in gene expression, a study of protein complexes involved in cellular recovery to DNA damage, inference of a combined physical/functional interaction network for Halobacterium, and an interface to detailed stochastic/kinetic gene regulatory models.
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            Structural parameters of communication networks

            Alfonso Shimbel (1953)
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              Graph Theory

              F Harary, F. HARARY (1972)
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                Author and article information

                Journal
                Journal ID (publisher-id): proy
                Title: Proyecciones (Antofagasta)
                Abbreviated Title: Proyecciones (Antofagasta)
                Publisher: Universidad Católica del Norte, Departamento de Matemáticas (Antofagasta, , Chile )
                ISSN (Print): 0716-0917
                Publication date (Print and electronic): 2021
                Volume: 40
                Issue: 4
                Pages: 927-936
                Affiliations
                [3] Mysurui KA orgnameJSS Science and Technology University orgdiv1Sri Jayachamarajendra College of Engineering orgdiv2Dept. of Mathematics India pskreddy@ 123456jssstuniv.in
                [2] Mangalore KA orgnameMangalore University orgdiv1Dept. of Mathematics India rrajendrar@ 123456gmail.com
                [1] Mangalore KA orgnameDr. P. Dayananda Pai- P. Sathisha Pai orgdiv1Government First Grade College India mathsmahesh@ 123456gmail.com
                Article
                Publisher ID: S0716-09172021000400927 Publisher ID: S0716-0917(21)04000400927
                DOI: 10.22199/issn.0717-6279-4362
                SO-VID: 4273a34d-276f-4a6a-b21c-60035b29bec2
                License:

                This work is licensed under a Creative Commons Attribution 4.0 International License.

                History
                Date received : 26 July 2020
                Date accepted : 15 January 2021
                Page count
                Figures: 0, Tables: 0, Equations: 0, References: 6, Pages: 10
                Product

                SciELO Chile


                Keywords: Stress of a vertex,Geodesic,Topological index
                Data availability:
                Keywords: Stress of a vertex, Geodesic, Topological index

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