Inequalities on well-distributed point sets on circles
2007 (English)In: Journal of Inequalities in Pure and Applied Mathematics, ISSN 1443-5756, Vol. 8, no 2, 34- p.Article in journal (Refereed) Published
The setting is a finite set P of points on the circumference of a circle, where all points are assigned non-negative real weights w(p). Let Pi be all subsets of P with i points and no two distinct points within a fixed distance d. We prove that Wk2 ≥ Wk+1W k-1 where Wk = ΣA∈Pi Πp∈Aw(p). This is done by first extending a theorem by Chudnovsky and Seymour on roots of stable set polynomials of claw-free graphs.
Place, publisher, year, edition, pages
2007. Vol. 8, no 2, 34- p.
Circle, Claw-free, Real roots
IdentifiersURN: urn:nbn:se:kth:diva-155607ScopusID: 2-s2.0-34547285661OAI: oai:DiVA.org:kth-155607DiVA: diva2:762122
QC 20141112014-11-102014-11-072014-11-10Bibliographically approved