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On Diameter of Nanotubical Fullerene Graphs (CROSBI ID 214246)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Andova, Vesna ; Blenkuš, Domen ; Došlić, Tomislav ; Kardoš, František ; Škrekovski, Riste On Diameter of Nanotubical Fullerene Graphs // MATCH : communications in mathematical and in computer chemistry, 73 (2015), 529-542

Podaci o odgovornosti

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

engleski

On Diameter of Nanotubical Fullerene Graphs

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 $n/(p+q)$.

fullerene graph; diameter; nanotube

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Podaci o izdanju

73

2015.

529-542

objavljeno

0340-6253

Povezanost rada

Matematika

Indeksiranost