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On Diameter of Nanotubical Fullerene Graphs


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 (međunarodna recenzija, članak, znanstveni)


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


Projekt / tema
037-0000000-2779 - Diskretna matematika i primjene (Dragutin Svrtan, )
177-0000000-0884 - Diskretni matematički modeli u kemiji (Damir Vukičević, )

Ustanove
Građevinski fakultet, Zagreb

Autor s matičnim brojem:
Tomislav Došlić, (123192)

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus