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dc.contributor.authorShyam Sundar Santraen_US
dc.contributor.authorPrabhakaran Victoren_US
dc.contributor.authorMahadevan Chandramouleeswaranen_US
dc.contributor.authorRami Ahmad El-Nabulsien_US
dc.contributor.authorKhaled Mohamed Khedheren_US
dc.contributor.authorVediyappan Govindanen_US
dc.date.accessioned2022-10-16T07:05:49Z-
dc.date.available2022-10-16T07:05:49Z-
dc.date.issued2021-07-01en_US
dc.identifier.issn20738994en_US
dc.identifier.other2-s2.0-85110826068en_US
dc.identifier.other10.3390/sym13071227en_US
dc.identifier.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85110826068&origin=inwarden_US
dc.identifier.urihttp://cmuir.cmu.ac.th/jspui/handle/6653943832/76121-
dc.description.abstractGraph connectivity theory is important in network implementations, transportation, network routing and network tolerance, among other things. Separation edges and vertices refer to single points of failure in a network, and so they are often sought-after. Chandramouleeswaran et al. introduced the principle of semiring valued graphs, also known as S-valued symmetry graphs, in 2015. Since then, works on S-valued symmetry graphs such as vertex dominating set, edge dominating set, regularity, etc. have been done. However, the connectivity of S-valued graphs has not been studied. Motivated by this, in this paper, the concept of connectivity in S-valued graphs has been studied. We have introduced the term vertex S-connectivity and edge S-connectivity and arrived some results for connectivity of a complete S-valued symmetry graph, S-path and S-star. Unlike the graph theory, we have observed that the inequality for connectivity κ(G) ≤ κ′ (G) ≤ δ(G) holds in the case of S-valued graphs only when there is a symmetry of the graph as seen in Examples 3–5.en_US
dc.subjectChemistryen_US
dc.subjectComputer Scienceen_US
dc.subjectMathematicsen_US
dc.subjectPhysics and Astronomyen_US
dc.titleConnectivity of semiring valued graphsen_US
dc.typeJournalen_US
article.title.sourcetitleSymmetryen_US
article.volume13en_US
article.stream.affiliationsKarpagam Academy of Higher Educationen_US
article.stream.affiliationsJIS College of Engineeringen_US
article.stream.affiliationsKing Khalid Universityen_US
article.stream.affiliationsChiang Mai Universityen_US
article.stream.affiliationsDmi St John the Baptist Universityen_US
article.stream.affiliationsSri Ramanas College of Arts and Science for Womenen_US
article.stream.affiliationsMrezgua University Campusen_US
article.stream.affiliationsMathematics and Physics Divisionsen_US
Appears in Collections:CMUL: Journal Articles

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