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 Algebra Discrete Math.: Year: Volume: Issue: Page: Find

 Algebra Discrete Math., 2015, Volume 19, Issue 1, Pages 39–43 (Mi adm504)

RESEARCH ARTICLE

On a deformation diameter of Dynkin diagrams

Vitaliy M. Bondarenkoa, Vitaliy V. Bondarenkoa, Viktoria A. Lisykevychb, Yulia M. Peregudac

a Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev
b National Taras Shevchenko University of Kyiv, Faculty of Mechanics and Mathematics
c Department of Information and Telecommunication Systems, Zhytomyr Military Institute

Abstract: We introduce the notion of a deformation distance and calculate the diameter of Dynkin diagrams respect to this distance.

Keywords: quadratic form, $P$-limiting number, graph, Dynkin diagram, weight, distance, diameter.

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MSC: 15A
Revised: 18.03.2015
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Citation: Vitaliy M. Bondarenko, Vitaliy V. Bondarenko, Viktoria A. Lisykevych, Yulia M. Pereguda, “On a deformation diameter of Dynkin diagrams”, Algebra Discrete Math., 19:1 (2015), 39–43

Citation in format AMSBIB
\Bibitem{BonBonLis15} \by Vitaliy~M.~Bondarenko, Vitaliy~V.~Bondarenko, Viktoria~A.~Lisykevych, Yulia~M.~Pereguda \paper On a deformation diameter of Dynkin diagrams \jour Algebra Discrete Math. \yr 2015 \vol 19 \issue 1 \pages 39--43 \mathnet{http://mi.mathnet.ru/adm504} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3376337} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000209846200004}