More hyperenergetic molecular graphs
If G is a molecular graph and λ1,λ2,... λn are its eigenvalues, then the energy of G is equal to E(G) = |λ1|+|λ2|+ ... +|λn|. This energy cannot exceed the value n√n-1 ≈ n3/2. The graph G is said to be hyperenergetic if E(G)>2n-2. We describe the construction of hyperenergetic graphs G...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Serbian Chemical Society
2000-01-01
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| Series: | Journal of the Serbian Chemical Society |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0352-5139/2000/0352-51390008571K.pdf |
| _version_ | 1819239931412742144 |
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| author | Koolen Jack H. Moulton Vincent Gutman Ivan B. Vidović Dušica |
| author_facet | Koolen Jack H. Moulton Vincent Gutman Ivan B. Vidović Dušica |
| author_sort | Koolen Jack H. |
| collection | DOAJ |
| description | If G is a molecular graph and λ1,λ2,... λn are its eigenvalues, then the
energy of G is equal to E(G) = |λ1|+|λ2|+ ... +|λn|. This energy cannot
exceed the value n√n-1 ≈ n3/2. The graph G is said to be hyperenergetic
if E(G)>2n-2. We describe the construction of hyperenergetic graphs G for
which E(G)≈1/2 n3/2. |
| first_indexed | 2024-12-23T13:59:57Z |
| format | Article |
| id | doaj.art-943ef10fe0db4a9480828a86953440b8 |
| institution | Directory Open Access Journal |
| issn | 0352-5139 1820-7421 |
| language | English |
| last_indexed | 2024-12-23T13:59:57Z |
| publishDate | 2000-01-01 |
| publisher | Serbian Chemical Society |
| record_format | Article |
| series | Journal of the Serbian Chemical Society |
| spelling | doaj.art-943ef10fe0db4a9480828a86953440b82022-12-21T17:44:20ZengSerbian Chemical SocietyJournal of the Serbian Chemical Society0352-51391820-74212000-01-0165857157510.2298/JSC0008571K0352-51390008571KMore hyperenergetic molecular graphsKoolen Jack H.0Moulton Vincent1Gutman Ivan B.2Vidović Dušica3FSPM-Strukturbildungsprozesse, University of Bielefeld, Bielefeld, GermanyMid Sweden University, Physics and Mathematics Department (FMI), Sundsvall, SwedenFaculty of Science, KragujevacFaculty of Science, KragujevacIf G is a molecular graph and λ1,λ2,... λn are its eigenvalues, then the energy of G is equal to E(G) = |λ1|+|λ2|+ ... +|λn|. This energy cannot exceed the value n√n-1 ≈ n3/2. The graph G is said to be hyperenergetic if E(G)>2n-2. We describe the construction of hyperenergetic graphs G for which E(G)≈1/2 n3/2.http://www.doiserbia.nb.rs/img/doi/0352-5139/2000/0352-51390008571K.pdfnema |
| spellingShingle | Koolen Jack H. Moulton Vincent Gutman Ivan B. Vidović Dušica More hyperenergetic molecular graphs Journal of the Serbian Chemical Society nema |
| title | More hyperenergetic molecular graphs |
| title_full | More hyperenergetic molecular graphs |
| title_fullStr | More hyperenergetic molecular graphs |
| title_full_unstemmed | More hyperenergetic molecular graphs |
| title_short | More hyperenergetic molecular graphs |
| title_sort | more hyperenergetic molecular graphs |
| topic | nema |
| url | http://www.doiserbia.nb.rs/img/doi/0352-5139/2000/0352-51390008571K.pdf |
| work_keys_str_mv | AT koolenjackh morehyperenergeticmoleculargraphs AT moultonvincent morehyperenergeticmoleculargraphs AT gutmanivanb morehyperenergeticmoleculargraphs AT vidovicdusica morehyperenergeticmoleculargraphs |