Pregled bibliografske jedinice broj: 559484
Some Observations on Comparing Zagreb Indices
Some Observations on Comparing Zagreb Indices // MATCH : communications in mathematical and in computer chemistry, 66 (2011), 627-645 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 559484 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some Observations on Comparing Zagreb Indices
Autori
Vukičević, Damir ; Gutman, Ivan ; Furtula, Boris ; Vesna, Dimitrov, Darko
Izvornik
MATCH : communications in mathematical and in computer chemistry (0340-6253) 66
(2011);
627-645
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Zagreb indices; inequality
Sažetak
Let G be a simple graph possessing n vertices and m edges. Let di be the degree of the i-th vertex of G , i = 1, . . . , n . The first Zagreb index M1 is the sum of d2 i over all vertices of G. The second Zagreb index M2 is the sum di dj over pairs of adjacent vertices of G. In this paper we search for graph for which M1/n = M2/m, and show how numerous such graphs can be constructed. In addition, we find examples of graphs for which M1/n > M2/m, which are counterexamples for the earlier conjectured inequality M1/n ≤ M2/m.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Kemija
POVEZANOST RADA
Projekti:
037-0000000-2779 - Diskretna matematika i primjene (Svrtan, Dragutin, MZOS ) ( CroRIS)
177-0000000-0884 - Diskretni matematički modeli u kemiji (Vukičević, Damir, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Split
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
