Naslov
On Diameter of Nanotubical Fullerene Graphs

Autori
Andova, Vesna ; Blenkuš, Domen ; Došlić, Tomislav ; Kardoš, František ; Škrekovski, Riste

Izvornik
MATCH : communications in mathematical and in computer chemistry (0340-6253) 73 (2015); 529-542

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

Ključne riječi
fullerene graph; diameter; nanotube

Sažetak
Fullerene graphs are 3-connected 3-regular planar graphs with only pentagonal and hexagonal faces ; if no two pentagonal faces are incident we call it an isolated pentagon fullerene. We show that the diameter of an isolated pentagon fullerene graph $G$ of order $n$ is at most $(n+12)/9$. Moreover, if $G$ is not a $(9, 0)$-nanotube its diameter is at most $n/10 + 3$. Additionally, we show that the diameter of a $(p, q)$-nanotube is essentially $n/(p+q)$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA