Geodesic
On the Zagreb Index of Tournaments
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 2, p. 241

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

A tournament is an orientation of a complete simple graph. The score of a vertex in a tournament is the out degree of the vertex. The Zagreb index of a tournament is defined as the sum of the squares of the scores of its vertices. In this paper, we obtain various lower and upper bounds for the Zagreb index of a tournament.
Classification : 05C09, 05C20
Keywords: tournament, score, score sequence, Zagreb index, Landau's theorem 
@article{KJM_2024_48_2_a4,
     author = {Tariq Ahmad Naikoo and Bilal Ahmad Rather and Uma Tul Samee and Shariefuddin Pirzada},
     title = {On the {Zagreb} {Index} of {Tournaments}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {241 },
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2024_48_2_a4/}
}
TY  - JOUR
AU  - Tariq Ahmad Naikoo
AU  - Bilal Ahmad Rather
AU  - Uma Tul Samee
AU  - Shariefuddin Pirzada
TI  - On the Zagreb Index of Tournaments
JO  - Kragujevac Journal of Mathematics
PY  - 2024
SP  - 241 
VL  - 48
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2024_48_2_a4/
LA  - en
ID  - KJM_2024_48_2_a4
ER  - 
%0 Journal Article
%A Tariq Ahmad Naikoo
%A Bilal Ahmad Rather
%A Uma Tul Samee
%A Shariefuddin Pirzada
%T On the Zagreb Index of Tournaments
%J Kragujevac Journal of Mathematics
%D 2024
%P 241 
%V 48
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2024_48_2_a4/
%G en
%F KJM_2024_48_2_a4
Tariq Ahmad Naikoo; Bilal Ahmad Rather; Uma Tul Samee; Shariefuddin Pirzada. On the Zagreb Index of Tournaments. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 2, p. 241 . http://geodesic.mathdoc.fr/item/KJM_2024_48_2_a4/