Matematičeskie zametki, Tome 63 (1998) no. 3, pp. 421-424
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M. É. Mikhailov. Further criteria for the indecomposability of finite pseudometric spaces. Matematičeskie zametki, Tome 63 (1998) no. 3, pp. 421-424. http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a12/
@article{MZM_1998_63_3_a12,
author = {M. \'E. Mikhailov},
title = {Further criteria for the indecomposability of finite pseudometric spaces},
journal = {Matemati\v{c}eskie zametki},
pages = {421--424},
year = {1998},
volume = {63},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a12/}
}
TY - JOUR
AU - M. É. Mikhailov
TI - Further criteria for the indecomposability of finite pseudometric spaces
JO - Matematičeskie zametki
PY - 1998
SP - 421
EP - 424
VL - 63
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a12/
LA - ru
ID - MZM_1998_63_3_a12
ER -
%0 Journal Article
%A M. É. Mikhailov
%T Further criteria for the indecomposability of finite pseudometric spaces
%J Matematičeskie zametki
%D 1998
%P 421-424
%V 63
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a12/
%G ru
%F MZM_1998_63_3_a12
We continue the study of indecomposable finite (consisting of a finite number of points) pseudometric spaces (i.e., spaces whose only decomposition into a sum is the division of all distances in equal proportion). We prove that the indecomposability property is invariant under the following operation: connect two disjoint points by an additional simple chain, which is the inverted copy of the shortest path connecting these points. The indecomposability of the spaces presented by the graphs $K_{m,n}$ ($m\ge2$, $n\ge3$) with edges of equal length is also proved.
