On the existence of two affine-equivalent frameworks with prescribed edge lengths in Euclidean d-space

On the existence of two affine-equivalent frameworks with prescribed edge lengths in Euclidean d-space Full article

Journal

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Output data

Year: 2023, Volume: 64, Number: 6, Pages: 1273-1278 Pages count : 6 DOI: 10.1134/S0037446623060022

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0006

We study the existence of the two affine-equivalent bar-and-joint frameworks in Euclidean d-space which have some prescribed combinatorial structure and edge lengths. We show that the existence problem is always solvable theoretically and explain why to propose a practical algorithm for solving the problem is impossible.

Alexandrov V.A.
On the existence of two affine-equivalent frameworks with prescribed edge lengths in Euclidean d-space
Siberian Mathematical Journal. 2023. V.64. N6. P.1273-1278. DOI: 10.1134/S0037446623060022 WOS Scopus РИНЦ OpenAlex

Александров В.А.
О существовании двух аффинно-эквивалентных каркасов с заданными длинами ребер в евклидовом d-мерном пространстве
Сибирский математический журнал. 2023. Т.64. №6. С.1131-1137. DOI: 10.33048/smzh.2023.64.602 РИНЦ

Submitted:	Jun 27, 2023
Accepted:	Sep 25, 2023
Published print:	Nov 24, 2023
Published online:	Nov 24, 2023

Web of science:	WOS:001120902100013
Scopus:	2-s2.0-85178873656
Elibrary:	64411887
OpenAlex:	W4389379411

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