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Pregled bibliografske jedinice broj: 575245

Časopis

Autori: Andova, Vesna; Došlić, Tomislav; Krnc, Matjaž; Lužar, Borut; Škrekovski, Riste
Naslov: On the diameter and some related invariants of fullerene graphs
( On the diameter and some related invariants of fullerene graphs )
Izvornik: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY (0340-6253) 68 (2012), 1; 109-130
Vrsta rada: članak
Ključne riječi: fullerene graph; diameter; saturation number
( fullerene graph; diameter; saturation number )
Sažetak:
Fullerene graphs are 3-connected 3-regular planar graphs with only pentagonal and hexagonal faces. We show that the diameter of a fullerene graph G of order n is at least (√24n−15−3)/6 and at most n/5 + 1. Moreover, if G is not a (5, 0)-nanotube, its diameter is at most n/6 + 5/2. As a consequence, we improve the upper bound on the saturation number of fullerene graphs. We also report an improved lower bound on the independence number and an upper bound on the smallest eigenvalue of fullerene graphs, confirming some conjectures for large fullerene graphs.
Projekt / tema: 037-0000000-2779, 177-0000000-0884
Izvorni jezik: eng
Rad je indeksiran u
bazama podataka:
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL cjelovitog teksta:
Časopis izlazi u samo elektroničkom izdanju: NE
Google Scholar: On the diameter and some related invariants of fullerene graphs
Upisao u CROSBI: doslic@grad.hr (doslic@grad.hr), 27. Ožu. 2012. u 14:58 sati



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