On Second Gourava Invariant for q-Apex Trees
Let G be a simple connected graph. The second Gourava index of graph G is defined as GO2G=∑θϑ∈EGdθ+dϑdθdϑ where dθ denotes the degree of vertex θ. If removal of a vertex of G forms a tree, then G is called an apex tree. Let L⊂VG with ∣L∣=q. If removal of L from VG forms a tree and any other subset o...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2022/7513770 |
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| _version_ | 1832564901966512128 |
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| author | Ying Wang Salma Kanwal Maria Liaqat Adnan Aslam Uzma Bashir |
| author_facet | Ying Wang Salma Kanwal Maria Liaqat Adnan Aslam Uzma Bashir |
| author_sort | Ying Wang |
| collection | DOAJ |
| description | Let G be a simple connected graph. The second Gourava index of graph G is defined as GO2G=∑θϑ∈EGdθ+dϑdθdϑ where dθ denotes the degree of vertex θ. If removal of a vertex of G forms a tree, then G is called an apex tree. Let L⊂VG with ∣L∣=q. If removal of L from VG forms a tree and any other subset of VG whose cardinality is less than ∣L∣ does not form a tree, then G is known as q-apex tree. In this paper, we have calculated upper bound for 2nd Gourava index with respect to q-apex trees. |
| format | Article |
| id | doaj-art-9bb8f00ded894c908e5748faa8176a1b |
| institution | Kabale University |
| issn | 2090-9071 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Chemistry |
| spelling | doaj-art-9bb8f00ded894c908e5748faa8176a1b2025-02-03T01:09:59ZengWileyJournal of Chemistry2090-90712022-01-01202210.1155/2022/7513770On Second Gourava Invariant for q-Apex TreesYing Wang0Salma Kanwal1Maria Liaqat2Adnan Aslam3Uzma Bashir4Software Engineering Institute of GuangzhouLahore College for Women UniversityLahore College for Women UniversityUniversity of Engineering and TechnologyLahore College for Women UniversityLet G be a simple connected graph. The second Gourava index of graph G is defined as GO2G=∑θϑ∈EGdθ+dϑdθdϑ where dθ denotes the degree of vertex θ. If removal of a vertex of G forms a tree, then G is called an apex tree. Let L⊂VG with ∣L∣=q. If removal of L from VG forms a tree and any other subset of VG whose cardinality is less than ∣L∣ does not form a tree, then G is known as q-apex tree. In this paper, we have calculated upper bound for 2nd Gourava index with respect to q-apex trees.http://dx.doi.org/10.1155/2022/7513770 |
| spellingShingle | Ying Wang Salma Kanwal Maria Liaqat Adnan Aslam Uzma Bashir On Second Gourava Invariant for q-Apex Trees Journal of Chemistry |
| title | On Second Gourava Invariant for q-Apex Trees |
| title_full | On Second Gourava Invariant for q-Apex Trees |
| title_fullStr | On Second Gourava Invariant for q-Apex Trees |
| title_full_unstemmed | On Second Gourava Invariant for q-Apex Trees |
| title_short | On Second Gourava Invariant for q-Apex Trees |
| title_sort | on second gourava invariant for q apex trees |
| url | http://dx.doi.org/10.1155/2022/7513770 |
| work_keys_str_mv | AT yingwang onsecondgouravainvariantforqapextrees AT salmakanwal onsecondgouravainvariantforqapextrees AT marialiaqat onsecondgouravainvariantforqapextrees AT adnanaslam onsecondgouravainvariantforqapextrees AT uzmabashir onsecondgouravainvariantforqapextrees |