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Pregled bibliografske jedinice broj: 559489

Časopis

Autori: Das, Kinkar; Gutman, Ivan; Vukičević, Damir
Naslov: One-two descriptor of graphs
( One-two descriptor of graphs )
Izvornik: Bulletin Académie Serbe des sciences et des arts, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques (0561-7332) 143 (2011); 37-47
Vrsta rada: članak
Ključne riječi: one{;two descriptor; graph (molecular); degree (of vertex); molecular structure descriptor
( one{;two descriptor; graph (molecular); degree (of vertex); molecular structure descriptor )
Sažetak:
In a recent paper [Vuki·cevi¶c et al., J. Math. Chem. 48 (2010) 395- 400] a novel molecular{;graph{;based structure descriptor, named one{;two descriptor (OT), was introduced. OT is the sum of vertex contributions, such that each pendent vertex contributes 1, each vertex of degree two adjacent to a pendent vertex contributes 2, and each vertex of degree higher than two also contributes 2. Vertices of degree two, not adjacent to a pendent vertex, do not contribute to OT. Vuku·cevi¶c et al. established lower and upper bounds on OT for trees. We now give lower and upper bounds on OT for general graphs, and also characterize the extremal graphs. The bounds of Vuki·cevi¶c et al. for trees follows as a special case. Moreover, we give another upper bound on OT for trees.
Projekt / tema: 177-0000000-0884, 037-0000000-2779
Izvorni jezik: eng
Rad je indeksiran u
bazama podataka:
Scopus
Kategorija: Znanstveni
Znanstvena područja:
Matematika,Kemija
URL cjelovitog teksta:
Časopis izlazi u samo elektroničkom izdanju: NE
Google Scholar: One-two descriptor of graphs
Upisao u CROSBI: vukicevi@pmfst.hr (vukicevi@pmfst.hr), 28. Stu. 2011. u 01:49 sati



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