Geodesic
Refinement of lower bounds for the number of additional arcs in a~minimal vertex $1$-extension of oriented path
Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 101-102

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

Previously known result states that the minimal vertex $1$-extension of any nonhamiltonian path orientation with the number of vertices more than 4 contains at least 4 additional arcs. In this paper, this bound is significantly refined, and upper bound for the number of additional arcs is given.
Keywords: minimal vertex extension, fault-tolerance.
Mots-clés : path orientation 
@article{PDMA_2016_9_a38,
     author = {M. B. Abrosimov and O. V. Modenova},
     title = {Refinement of lower bounds for the number of additional arcs in a~minimal vertex $1$-extension of oriented path},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {101--102},
     publisher = {mathdoc},
     number = {9},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2016_9_a38/}
}
TY  - JOUR
AU  - M. B. Abrosimov
AU  - O. V. Modenova
TI  - Refinement of lower bounds for the number of additional arcs in a~minimal vertex $1$-extension of oriented path
JO  - Prikladnaya Diskretnaya Matematika. Supplement
PY  - 2016
SP  - 101
EP  - 102
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PDMA_2016_9_a38/
LA  - ru
ID  - PDMA_2016_9_a38
ER  - 
%0 Journal Article
%A M. B. Abrosimov
%A O. V. Modenova
%T Refinement of lower bounds for the number of additional arcs in a~minimal vertex $1$-extension of oriented path
%J Prikladnaya Diskretnaya Matematika. Supplement
%D 2016
%P 101-102
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PDMA_2016_9_a38/
%G ru
%F PDMA_2016_9_a38
M. B. Abrosimov; O. V. Modenova. Refinement of lower bounds for the number of additional arcs in a~minimal vertex $1$-extension of oriented path. Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 101-102. http://geodesic.mathdoc.fr/item/PDMA_2016_9_a38/