A jump to the bell number for hereditary graph properties
نویسندگان
چکیده
منابع مشابه
A jump to the bell number for hereditary graph properties
A hereditary graph property is a collection of labeled graphs, closed under isomorphism and also under the taking of induced subgraphs. Its speed is the number of graphs in the property as a function of the number of vertices in the graph. Earlier research has characterized the speeds for hereditary graph properties up to n(1+o(1))n, and described the properties that have those smaller speeds. ...
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A graph property is a set of graphs closed under isomorphism. A property is hereditary if it is closed under taking induced subgraphs. Given a graph property X , we write Xn for the number of graphs in X with vertex set {1, 2, . . . , n} and following [1] we call Xn the speed of the property X . The paper [2] identifies a jump in the speed of hereditary graph properties to the Bell number Bn an...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 2005
ISSN: 0095-8956
DOI: 10.1016/j.jctb.2005.02.004