Properties of the interval graph of a Boolean function
Acta mathematica Universitatis Comenianae, Tome 82 (2013) no. 2, pp. 191-200
L. Haviarová; E. Toman; L. Haviarová; E. Toman. Properties of the interval graph of a Boolean function. Acta mathematica Universitatis Comenianae, Tome 82 (2013) no. 2, pp. 191-200. http://geodesic.mathdoc.fr/item/AMUC_2013_82_2_a3/
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     author = {L. Haviarov\'a and E. Toman and L. Haviarov\'a and E. Toman},
     title = { Properties of the interval graph of a {Boolean} function},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {191--200},
     year = {2013},
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     url = {http://geodesic.mathdoc.fr/item/AMUC_2013_82_2_a3/}
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In the present paper we describe relations between the interval graph of a Boolean function, its abbreviated disjunctive normal form and its minimal disjunctive normal forms. The inteval graph of a Boolean function f has vertices corresponding to the maximal intervals of f and any two vertices are joined with an edge if the corresponding maximal intervals have nonempty intersection.