"The Inducibility of Graphs" by Nicholas Pippenger and Martin Charles Golumbic
 

The Inducibility of Graphs

Document Type

Article

Department

Mathematics (HMC)

Publication Date

1975

Abstract

We investigate the maximum number of ways in which a k-vertex graph G can appear as an induced subgraph of an n-vertex graph, for nk. When this number is expressed as a fraction of all k-vertex induced subgraphs, it tends to a definite limit as n → ∞. This limit, which we call the inducibility of G, is an effectively computable invariant of G. We examine the elementary properties of this invariant: its relationship to various operations on graphs, its maximum and minimum values, and its value for some particular graphs.

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© 1975 Elsevier Ltd.

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