On Diameter of Nanotubical Fullerene Graphs (CROSBI ID 214246)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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