On generalized inverse sum indeg index and energy of graphs
Topological indices are used to predict certain phsio-chemical properties of the chemical compounds. Among all indices, degree based indices are of vital importance. In this paper, we introduce generalized inverse sum indeg index and generalized inverse sum indeg energy of graphs. We study the gener...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-03-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020158/fulltext.html |
| _version_ | 1819182701359398912 |
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| author | Sumaira Hafeez Rashid Farooq |
| author_facet | Sumaira Hafeez Rashid Farooq |
| author_sort | Sumaira Hafeez |
| collection | DOAJ |
| description | Topological indices are used to predict certain phsio-chemical properties of the chemical compounds. Among all indices, degree based indices are of vital importance. In this paper, we introduce generalized inverse sum indeg index and generalized inverse sum indeg energy of graphs. We study the generalized inverse sum indeg index and energy from an algebraic point of view. Extremal values of this index for some graph classes are determined. Some spectral properties of generalized inverse sum indeg matrix are studied. We also find Nordhaus-Gaddum-type results for generalized inverse sum indeg index spectral radius and energy. |
| first_indexed | 2024-12-22T22:50:19Z |
| format | Article |
| id | doaj.art-195bbd0f83124a47acb910a127edf527 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-22T22:50:19Z |
| publishDate | 2020-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-195bbd0f83124a47acb910a127edf5272022-12-21T18:09:58ZengAIMS PressAIMS Mathematics2473-69882020-03-01532388241110.3934/math.2020158On generalized inverse sum indeg index and energy of graphsSumaira Hafeez0Rashid Farooq1School of Natural Sciences, National University of Sciences and Technology, H-12 Islamabad, PakistanSchool of Natural Sciences, National University of Sciences and Technology, H-12 Islamabad, PakistanTopological indices are used to predict certain phsio-chemical properties of the chemical compounds. Among all indices, degree based indices are of vital importance. In this paper, we introduce generalized inverse sum indeg index and generalized inverse sum indeg energy of graphs. We study the generalized inverse sum indeg index and energy from an algebraic point of view. Extremal values of this index for some graph classes are determined. Some spectral properties of generalized inverse sum indeg matrix are studied. We also find Nordhaus-Gaddum-type results for generalized inverse sum indeg index spectral radius and energy.https://www.aimspress.com/article/10.3934/math.2020158/fulltext.htmlgeneralized isi indexextremal graphsgeneralized isi energygeneralized isi spread of graphsnordhaus-gaddum-type results |
| spellingShingle | Sumaira Hafeez Rashid Farooq On generalized inverse sum indeg index and energy of graphs AIMS Mathematics generalized isi index extremal graphs generalized isi energy generalized isi spread of graphs nordhaus-gaddum-type results |
| title | On generalized inverse sum indeg index and energy of graphs |
| title_full | On generalized inverse sum indeg index and energy of graphs |
| title_fullStr | On generalized inverse sum indeg index and energy of graphs |
| title_full_unstemmed | On generalized inverse sum indeg index and energy of graphs |
| title_short | On generalized inverse sum indeg index and energy of graphs |
| title_sort | on generalized inverse sum indeg index and energy of graphs |
| topic | generalized isi index extremal graphs generalized isi energy generalized isi spread of graphs nordhaus-gaddum-type results |
| url | https://www.aimspress.com/article/10.3934/math.2020158/fulltext.html |
| work_keys_str_mv | AT sumairahafeez ongeneralizedinversesumindegindexandenergyofgraphs AT rashidfarooq ongeneralizedinversesumindegindexandenergyofgraphs |