On the full diversity of balls for graphs
Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 110-112.

Voir la notice de l'article provenant de la source Math-Net.Ru

The diversity of balls is studied for finite connected ordinary graphs. Some properties of graphs with full diversity of balls are obtained. As a consequence, cactuses with such diversity of balls are described.
Keywords: graph, metric ball, radius of ball, the number of balls, the diversity vector of balls.
@article{PDMA_2016_9_a42,
     author = {A. A. Evdokimov and E. P. Kutcenogaya and T. I. Fedoryaeva},
     title = {On the full diversity of balls for graphs},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {110--112},
     publisher = {mathdoc},
     number = {9},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2016_9_a42/}
}
TY  - JOUR
AU  - A. A. Evdokimov
AU  - E. P. Kutcenogaya
AU  - T. I. Fedoryaeva
TI  - On the full diversity of balls for graphs
JO  - Prikladnaya Diskretnaya Matematika. Supplement
PY  - 2016
SP  - 110
EP  - 112
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PDMA_2016_9_a42/
LA  - ru
ID  - PDMA_2016_9_a42
ER  - 
%0 Journal Article
%A A. A. Evdokimov
%A E. P. Kutcenogaya
%A T. I. Fedoryaeva
%T On the full diversity of balls for graphs
%J Prikladnaya Diskretnaya Matematika. Supplement
%D 2016
%P 110-112
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PDMA_2016_9_a42/
%G ru
%F PDMA_2016_9_a42
A. A. Evdokimov; E. P. Kutcenogaya; T. I. Fedoryaeva. On the full diversity of balls for graphs. Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 110-112. http://geodesic.mathdoc.fr/item/PDMA_2016_9_a42/

[1] Evdokimov A. A., Fedoryaeva T. I., “O probleme kharakterizatsii vektorov raznoobraziya sharov”, Diskret. analiz i issled. operatsii, 21:1 (2014), 44–52 | MR | Zbl

[2] Evdokimov A. A., “Kodirovanie strukturirovannoi informatsii i vlozheniya diskretnykh prostranstv”, Diskret. analiz i issled. operatsii. Ser. 1, 7:4 (2000), 48–58 | MR | Zbl

[3] Evdokimov A. A., “Vlozheniya grafov v $n$-mernyi bulev kub i intervalnoe kodirovanie tablo”, Vestnik Tomskogo gosudarstvennogo universiteta. Prilozhenie, 2006, no. 17, 15–19

[4] Kharari F., Teoriya grafov, Mir, M., 1973 | MR

[5] Fedoryaeva T. I., “Operatsii i izometricheskie vlozheniya grafov, svyazannye so svoistvom prodolzheniya metriki”, Diskret. analiz i issled. operatsii, 2:3 (1995), 49–67 | MR | Zbl

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

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