RESEARCH ARTICLE

On a deformation diameter of Dynkin diagrams

Vitaliy M. Bondarenko^a, Vitaliy V. Bondarenko^a, Viktoria A. Lisykevych^b, Yulia M. Pereguda<sup>c

a</sup> 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.

MSC: 15A

Received: 18.03.2015
Revised: 18.03.2015

Language: English

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