Graph Intersection
المؤلف:
Harary, F.
المصدر:
Graph Theory. Reading, MA: Addison-Wesley, 1994
الجزء والصفحة:
...
10-4-2022
2479
Graph Intersection

Let
be a set and
{S_1,...,S_p}" src="https://mathworld.wolfram.com/images/equations/GraphIntersection/Inline2.svg" style="height:25px; width:124px" /> 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].
REFERENCES
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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