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 
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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/