Geodesic
On the Boolean dimension of a graph and other related parameters
Discrete mathematics & theoretical computer science, special issue in honour of Maurice Pouzet, Tome 23 (2021-2022) no. 2.

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We present the Boolean dimension of a graph, we relate it with the notions of inner, geometric and symplectic dimensions, and with the rank and minrank of a graph. We obtain an exact formula for the Boolean dimension of a tree in terms of a certain star decomposition. We relate the Boolean dimension with the inversion index of a tournament. 
@article{DMTCS_2022_23_2_a5,
     author = {Pouzet, Maurice and Si Kaddour, Hamza and Thatte, Bhalchandra},
     title = {On the {Boolean} dimension of a graph and other related parameters},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2021-2022},
     doi = {10.46298/dmtcs.7437},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.7437/}
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Pouzet, Maurice; Si Kaddour, Hamza; Thatte, Bhalchandra. On the Boolean dimension of a graph and other related parameters. Discrete mathematics & theoretical computer science, special issue in honour of Maurice Pouzet, Tome 23 (2021-2022) no. 2. doi : 10.46298/dmtcs.7437. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.7437/

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