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. The first general Zagreb index of a tournament T is defined as M_{a}(T)=\sum\limits_{i=1}^{n}s_{i}^{a}, where a is any real number other than 0 and 1. In this paper, we obtain various lower and upper bounds for the first general Zagreb index of a tournament.

 

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Author(s)

  Chishti, T. A.,  Naikoo, Tariq A.,  Pirzada, S.,  Rather, Bilal A.