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  2. University of Kragujevac
  3. Faculty of Science, Kragujevac
Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/19192
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dc.contributor.authorGutman, Ivan-
dc.contributor.authorRedžepović, Izudin-
dc.contributor.authorFurtula, Boris-
dc.date.accessioned2023-10-27T09:48:26Z-
dc.date.available2023-10-27T09:48:26Z-
dc.date.issued2023-
dc.identifier.urihttps://scidar.kg.ac.rs/handle/123456789/19192-
dc.description.abstractThe Sombor index (SO) and the modified Sombor index (mSO) are two closely related vertex-degree-based graph invariants. Both were introduced in the 2020s, and have already found a variety of chemical, physicochemical, and network-theoretical applications. In this paper, we examine the product SO. mSO and determine its main properties. It is found that the structure-dependence of this product is fully different from that of either SO or mSO. Lower and upper bounds for SO. mSO are established and the extremal graphs are characterized. For connected graphs, the minimum value of the product SO. mSO is the square of the number of edges. In the case of trees, the maximum value pertains to a special type of eclipsed sun graph, trees with a single branching pointen_US
dc.language.isoenen_US
dc.relation.ispartofOpen Journal of Discrete Applied Mathematicsen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectSombor indexen_US
dc.subjectmodified Sombor indexen_US
dc.subjecttopological indexen_US
dc.subjectdegree (of vertex)en_US
dc.titleOn the product of Sombor and modified Sombor indicesen_US
dc.typearticleen_US
dc.description.versionPublisheden_US
dc.identifier.doi10.30538/psrp-odam2023.0083en_US
dc.type.versionPublishedVersionen_US
Appears in Collections:Faculty of Science, Kragujevac

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