Geodesic
Embeddings from the Class of Parametric Mappings of Bounded Distortion
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 2, pp. 72-79 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper considers a wide class of the mappings defining the embedding of discrete metric spaces and graphs. The theorem on local isometric embedding of circuit codes into Boolean hypercubes is proved.
Keywords: embedding, discrete metric space, graph
Mots-clés : circuit code, Boolean hypercube. 
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A. A. Evdokimov. Embeddings from the Class of Parametric Mappings of Bounded Distortion. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 2, pp. 72-79. http://geodesic.mathdoc.fr/item/UZKU_2009_151_2_a8/

[1] Evdokimov A. A., “Metricheskie svoistva vlozhenii i kody, sokhranyayuschie rasstoyaniya”, Trudy In-ta matem. SO AN SSSR, 10, Nauka, Novosibirsk, 1988, 116–132 | MR

[2] Evdokimov A. A., “Lokalno izometricheskie vlozheniya grafov i svoistvo prodolzheniya metriki”, Sib. zhurn. issled. operatsii, 1:1 (1994), 5–12 | MR | Zbl

[3] Fedoryaeva T. I., “Raznoobrazie sharov v metricheskikh prostranstvakh derevev”, Diskr. analiz i issled. operatsii. Ser. 1, 12:3 (2005), 74–84 | MR | Zbl

[4] Fedoryaeva T. I., “Diversity Vectors of Balls in Graphs and Estimates of the Components of the Vectors”, J. Appl. Industr. Math., 2 (2008), 341–357 | DOI

[5] Rychkov K. L., “Ob usloviyakh suschestvovaniya grafa s zadannym diametrom, chislom vershinnoi svyaznosti i vektorom raznoobraziya sharov”, Diskr. analiz i issled. operatsii. Ser. 1, 14:4 (2007), 43–56 | Zbl

[6] Evdokimov A. A., “Tsepnye kody s proizvolnym rasstoyaniem”, Dokl. AN SSSR, 228:6 (1976), 1273–1276 | MR | Zbl

[7] Evdokimov A. A., “Vlozheniya grafov v $n$-mernyi bulev kub i intervalnoe kodirovanie tablo”, Vestn. Tomsk. gos. un-ta. Prilozhenie, 2006, no. 17, 15–19

[8] Klee V., “A method for Constructing Circuit Codes”, J. Assoc. Comp. Mach., 14:3 (1967), 520–528 | DOI | MR | Zbl

[9] Preparata F. P., Nievergelt J., “Difference-preserving codes”, IEEE Trans. Inform. Theory, IT-20:5 (1974), 643–649 | DOI | MR | Zbl