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Pregled bibliografske jedinice broj: 341089

Trees with maximal second Zagreb index and prescribed number of vertices of the given degree


Vukičević, Damir; Rajtmajer, Sarah, Michele; Trinajstić Nenad
Trees with maximal second Zagreb index and prescribed number of vertices of the given degree // MATCH : communications in mathematical and in computer chemistry, 60 (2008), 1; 65-70 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 341089 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Trees with maximal second Zagreb index and prescribed number of vertices of the given degree

Autori
Vukičević, Damir ; Rajtmajer, Sarah, Michele ; Trinajstić Nenad

Izvornik
MATCH : communications in mathematical and in computer chemistry (0340-6253) 60 (2008), 1; 65-70

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Zagreb index ; degree sequence ; extremal graph ; molecular descriptor

Sažetak
In this paper we present a simple algorithm for calculating the maximal value of the second Zagreb index for trees with prescribed number of vertices of given degree. The user needs only to input values n 1, n 2, ..., n δ where ni is the number of vertices of degree i. The algorithm outputs the edge connectivity values m ij as well as the maximal value of the second Zagreb index. The complexity of the algorithm is proportional to Δ 3, where Δ is maximal degree. Since complexity is independent of the number of vertices, for chemical ....

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Kemija



POVEZANOST RADA


Projekti:
037-0000000-2779 - Diskretna matematika i primjene (Svrtan, Dragutin, MZOS ) ( CroRIS)
098-1770495-2919 - Razvoj metoda za modeliranje svojstava bioaktivnih molekula i proteina (Lučić, Bono, MZOS ) ( CroRIS)
177-0000000-0884 - Diskretni matematički modeli u kemiji (Vukičević, Damir, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Institut "Ruđer Bošković", Zagreb,
Prirodoslovno-matematički fakultet, Split

Profili:

Avatar Url Nenad Trinajstić (autor)

Avatar Url Damir Vukičević (autor)

Citiraj ovu publikaciju:

Vukičević, Damir; Rajtmajer, Sarah, Michele; Trinajstić Nenad
Trees with maximal second Zagreb index and prescribed number of vertices of the given degree // MATCH : communications in mathematical and in computer chemistry, 60 (2008), 1; 65-70 (međunarodna recenzija, članak, znanstveni)
Vukičević, D., Rajtmajer, Sarah, Michele & Trinajstić Nenad (2008) Trees with maximal second Zagreb index and prescribed number of vertices of the given degree. MATCH : communications in mathematical and in computer chemistry, 60 (1), 65-70.
@article{article, author = {Vuki\v{c}evi\'{c}, Damir}, year = {2008}, pages = {65-70}, keywords = {Zagreb index, degree sequence, extremal graph, molecular descriptor}, journal = {MATCH : communications in mathematical and in computer chemistry}, volume = {60}, number = {1}, issn = {0340-6253}, title = {Trees with maximal second Zagreb index and prescribed number of vertices of the given degree}, keyword = {Zagreb index, degree sequence, extremal graph, molecular descriptor} }
@article{article, author = {Vuki\v{c}evi\'{c}, Damir}, year = {2008}, pages = {65-70}, keywords = {Zagreb index, degree sequence, extremal graph, molecular descriptor}, journal = {MATCH : communications in mathematical and in computer chemistry}, volume = {60}, number = {1}, issn = {0340-6253}, title = {Trees with maximal second Zagreb index and prescribed number of vertices of the given degree}, keyword = {Zagreb index, degree sequence, extremal graph, molecular descriptor} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus





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