Geodesic
On a deformation diameter of Dynkin diagrams
Algebra and discrete mathematics, Tome 19 (2015) no. 1, pp. 39-43 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, diameter.
Mots-clés : distance 
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     title = {On a deformation diameter of {Dynkin} diagrams},
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Vitaliy M. Bondarenko; Vitaliy V. Bondarenko; Viktoria A. Lisykevych; Yulia M. Pereguda. On a deformation diameter of Dynkin diagrams. Algebra and discrete mathematics, Tome 19 (2015) no. 1, pp. 39-43. http://geodesic.mathdoc.fr/item/ADM_2015_19_1_a4/

[1] V. M. Bondarenko, Yu. M. Pereguda, “On P-numbers of quadratic forms”, Proc. of the Institute of Mathematics of NAN of Ukraine, 6, Geometry, Topology, and their Applications:2 (2009), 474–477 | Zbl

[2] V. M. Bondarenko, V. V. Bondarenko, Yu. M. Pereguda, “Local deformations of positive-definite quadratic forms”, Ukrainian Math. J., 64:7 (2012), 1019–1035 (Russian) | DOI | MR | Zbl

[3] V. M. Bondarenko, “On types of local deformations of quadratic forms”, Algebra Discrete Math., 18:2 (2014), 163–170 | MR | Zbl