Maurice Pouzet, Hamza Si Kaddour, Bhalchandra D. Thatte
Published 2021-05-01Version 1
We present the Boolean dimension of a graph, we relate it with the notions of inner, geometric and symplectic dimensions and 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.
Comments: 13 pages, 2 figures
Alliances and related parameters in graphs
A note on the exact formulas for certain $2$-color partitions
Boolean dimension of a Boolean lattice
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