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  • Rose window graphs underlying rotary maps
    Kovács, István, 1969- ; Kutnar, Klavdija, 1980- ; Ruff, János
    Given natural numbers ▫$n \ge 3$▫ and ▫$1 \le a$▫, ▫$r \le n-1$▫, the rose window graph ▫$R_n(a,r)$▫ is a quartic graph with vertex set ▫$\{x_i \vert\; i \in {\mathbb Z}_n \} \cup \{y_i \vert\; i \in ... {\mathbb Z}_n \}$▫ and edge set ▫$\{\{x_i, x_{i+1}\} \vert\; i \in {\mathbb Z}_n \} \cup \{\{y_i, y_{i+1}\} \vert\; i \in {\mathbb Z}_n \} \cup \{\{x_i, y_i\} \vert\; i \in {\mathbb Z}_n\} \cup \{\{x_{i+a}, y_i\} \vert\; i \in {\mathbb Z}_n \}$▫. In this paper rotary maps on rose window graphs are considered. In particular, we answer the question posed in [S. Wilson, Rose window graphs, Ars Math. Contemp. 1 (2008), 7-19. http://amc.imfm.si/index.php/amc/issue/view/5] concerning which of these graphs underlie a rotary map.
    Vir: Algebraic and topological graph theory (Vol. 310, no. 12, 2010, str. 1802-1811)
    Vrsta gradiva - prispevek na konferenci ; neleposlovje za odrasle
    Leto - 2010
    Jezik - angleški
    COBISS.SI-ID - 1024195924

    Povezava(-e):

    http://dx.doi.org/10.1016/j.disc.2009.12.010
    Repozitorij Univerze na Primorskem - RUP
    DOI

vir: Algebraic and topological graph theory (Vol. 310, no. 12, 2010, str. 1802-1811)
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