Minimal Energy Tree with 4 Branched Vertices
The energy of a graph is defined as the sum of absolute values of the eigenvalues of its adjacency matrix. Let Ω(n,4) be the class of all trees of order n and having 4 branched vertices. In this paper, the minimal energy tree in the class Ω(n,4) is found.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-04-01
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| Series: | Open Chemistry |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/chem-2019-0013 |
| _version_ | 1818720424259747840 |
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| author | Hameed Saira Ahmad Uzma |
| author_facet | Hameed Saira Ahmad Uzma |
| author_sort | Hameed Saira |
| collection | DOAJ |
| description | The energy of a graph is defined as the sum of absolute values of the eigenvalues of its adjacency matrix. Let Ω(n,4) be the class of all trees of order n and having 4 branched vertices. In this paper, the minimal energy tree in the class Ω(n,4) is found. |
| first_indexed | 2024-12-17T20:22:37Z |
| format | Article |
| id | doaj.art-e8737038a0394c9c9e77d1fecb8e2eb0 |
| institution | Directory Open Access Journal |
| issn | 2391-5420 |
| language | English |
| last_indexed | 2024-12-17T20:22:37Z |
| publishDate | 2019-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Chemistry |
| spelling | doaj.art-e8737038a0394c9c9e77d1fecb8e2eb02022-12-21T21:33:53ZengDe GruyterOpen Chemistry2391-54202019-04-0117119820510.1515/chem-2019-0013chem-2019-0013Minimal Energy Tree with 4 Branched VerticesHameed Saira0Ahmad Uzma1University of the Punjab, Lahore, PakistanUniversity of the Punjab, Lahore, PakistanThe energy of a graph is defined as the sum of absolute values of the eigenvalues of its adjacency matrix. Let Ω(n,4) be the class of all trees of order n and having 4 branched vertices. In this paper, the minimal energy tree in the class Ω(n,4) is found.https://doi.org/10.1515/chem-2019-0013energytreebranchcharacteristic polynomialr- matching |
| spellingShingle | Hameed Saira Ahmad Uzma Minimal Energy Tree with 4 Branched Vertices Open Chemistry energy tree branch characteristic polynomial r- matching |
| title | Minimal Energy Tree with 4 Branched Vertices |
| title_full | Minimal Energy Tree with 4 Branched Vertices |
| title_fullStr | Minimal Energy Tree with 4 Branched Vertices |
| title_full_unstemmed | Minimal Energy Tree with 4 Branched Vertices |
| title_short | Minimal Energy Tree with 4 Branched Vertices |
| title_sort | minimal energy tree with 4 branched vertices |
| topic | energy tree branch characteristic polynomial r- matching |
| url | https://doi.org/10.1515/chem-2019-0013 |
| work_keys_str_mv | AT hameedsaira minimalenergytreewith4branchedvertices AT ahmaduzma minimalenergytreewith4branchedvertices |