The unlabelled speed of a hereditary graph property

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A Note on the Speed of Hereditary Graph Properties

For a graph property X, let Xn be the number of graphs with vertex set {1, . . . , n} having property X, also known as the speed of X. A property X is called factorial if X is hereditary (i.e. closed under taking induced subgraphs) and n1 ≤ Xn ≤ n c2n for some positive constants c1 and c2. Hereditary properties with the speed slower than factorial are surprisingly well structured. The situation...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series B

سال: 2009

ISSN: 0095-8956

DOI: 10.1016/j.jctb.2008.03.004