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Date: 1-5-2022
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Date: 1-3-2022
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Let be a set and
a nonempty family of distinct nonempty subsets of
whose union is
. The intersection graph of
is denoted
and defined by
, with
and
adjacent whenever
and
. Then a graph
is an intersection graph on
if there exists a family
of subsets for which
and
are isomorphic graphs (Harary 1994, p. 19). Graph intersections can be computed in the Wolfram Language using GraphIntersection[g, h].
Harary, F. Graph Theory. Reading, MA: Addison-Wesley, 1994.
Skiena, S. "Unions and Intersections." §4.1.1 in Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, pp. 129-131, 1990.
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