Geodesic
On generalized discrete metric structures
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 3, Tome 181 (2020), pp. 22-29

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In this paper, we discuss problems related to construction and investigation of cones of semimetrics, quasi-semimetrics (which are oriented analogs of symmetric semimetrics), and $m$-semimetrics (which are multidimensional analogs of two-dimensional semimetrics).
Mots-clés : distance
Keywords: semimetric, metric, quasi-semimetric, multidimensional semimetric, cut, multi-cut, cone of generalized discrete metric structures. 
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     author = {E. Deza},
     title = {On generalized discrete metric structures},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {22--29},
     publisher = {mathdoc},
     volume = {181},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_181_a3/}
}
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E. Deza. On generalized discrete metric structures. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 3, Tome 181 (2020), pp. 22-29. http://geodesic.mathdoc.fr/item/INTO_2020_181_a3/