On the First Three Extremum Values of Variable Sum Exdeg Index of Trees
For a graph G, its variable sum exdeg index is defined as SEIaG=∑xy∈EGadx+ady, where a is a real number other than 1 and dx is the degree of a vertex x. In this paper, we characterize all trees on n vertices with first three maximum and first three minimum values of the SEIa index. Also, we determin...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6491886 |
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| _version_ | 1832554110132420608 |
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| author | Shu-Bo Chen Syed Sheraz Asghar Muhammad Ahsan Binyamin Zahid Iqbal Tayyeb Mahmood Adnan Aslam |
| author_facet | Shu-Bo Chen Syed Sheraz Asghar Muhammad Ahsan Binyamin Zahid Iqbal Tayyeb Mahmood Adnan Aslam |
| author_sort | Shu-Bo Chen |
| collection | DOAJ |
| description | For a graph G, its variable sum exdeg index is defined as SEIaG=∑xy∈EGadx+ady, where a is a real number other than 1 and dx is the degree of a vertex x. In this paper, we characterize all trees on n vertices with first three maximum and first three minimum values of the SEIa index. Also, we determine all the trees of order n with given diameter d and having first three largest values of the SEIa index. |
| format | Article |
| id | doaj-art-b560a37c03584d92833042f3931097a0 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-b560a37c03584d92833042f3931097a02025-02-03T05:52:27ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/64918866491886On the First Three Extremum Values of Variable Sum Exdeg Index of TreesShu-Bo Chen0Syed Sheraz Asghar1Muhammad Ahsan Binyamin2Zahid Iqbal3Tayyeb Mahmood4Adnan Aslam5School of Science, Hunan City University, Yiyang 413000, ChinaDepartment of Mathematics, Govt. College University Faisalabad, Faisalabad, PakistanDepartment of Mathematics, Govt. College University Faisalabad, Faisalabad, PakistanDepartment of Mathematics and Statistics, Institute of Southern Punjab, Multan, PakistanDepartment of Electrical Engineering, University of Engineering and Technology, Lahore (RCET), Lahore, PakistanDepartment of Natural Sciences and Humanities, University of Engineering and Technology, Lahore (RCET), Lahore, PakistanFor a graph G, its variable sum exdeg index is defined as SEIaG=∑xy∈EGadx+ady, where a is a real number other than 1 and dx is the degree of a vertex x. In this paper, we characterize all trees on n vertices with first three maximum and first three minimum values of the SEIa index. Also, we determine all the trees of order n with given diameter d and having first three largest values of the SEIa index.http://dx.doi.org/10.1155/2021/6491886 |
| spellingShingle | Shu-Bo Chen Syed Sheraz Asghar Muhammad Ahsan Binyamin Zahid Iqbal Tayyeb Mahmood Adnan Aslam On the First Three Extremum Values of Variable Sum Exdeg Index of Trees Complexity |
| title | On the First Three Extremum Values of Variable Sum Exdeg Index of Trees |
| title_full | On the First Three Extremum Values of Variable Sum Exdeg Index of Trees |
| title_fullStr | On the First Three Extremum Values of Variable Sum Exdeg Index of Trees |
| title_full_unstemmed | On the First Three Extremum Values of Variable Sum Exdeg Index of Trees |
| title_short | On the First Three Extremum Values of Variable Sum Exdeg Index of Trees |
| title_sort | on the first three extremum values of variable sum exdeg index of trees |
| url | http://dx.doi.org/10.1155/2021/6491886 |
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