Narodna in univerzitetna knjižnica, Ljubljana (NUK)
Naročanje gradiva za izposojo na dom
Naročanje gradiva za izposojo v čitalnice
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Urnik dostave gradiva z oznako DS v signaturi
  • Omittable lines
    Berman, Leah ; Grünbaum, Branko ; Lenchner, Jonathan
    Given a collection of ▫$n$▫ lines in the real projective plane, a line ▫$\ell$▫ is said to be omittable if ▫$\ell$▫ is free of ordinary points of intersection; in other words, if all the intersection ... points of ▫$\ell$▫ with other lines from the collection come at the intersection of three or more lines. Given a collection of lines ▫$\mathcal{L}$▫, denoting by ▫$\mathcal{O(L)}$▫ the set of all omittable lines in the collection and by ▫$g(\mathcal{L})$▫ the cardinality of ▫$\mathcal{O(L)}$▫, we describe three infinite families of lines that can serve as ▫$\mathcal{O(L)}$▫ for suitable ▫$\mathcal{L}$▫ and also display a finite set of sporadic additional examples in which ▫$\mathcal{O(L)}$▫ does not fall into any of the three families. We derive bounds on the size of ▫$g(\mathcal{L})$▫ when ▫$\mathcal{O(L)}$▫ falls into one of the three infinite families and weaker bounds for the more general case.
    Vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 1, no. 2, dec. 2008, str. 206-222)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2008
    Jezik - angleški
    COBISS.SI-ID - 15152985

    Povezava(-e):

    http://amc.imfm.si/index.php/amc/article/viewFile/69/53
    Digitalna knjižnica Slovenije - dLib.si

vir: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 1, no. 2, dec. 2008, str. 206-222)

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