The inducibility of graphs

Nicholas Pippenger; Martin Charles Golumbic

doi:10.1016/0095-8956(75)90084-2

The inducibility of graphs

Nicholas Pippenger, Martin Charles Golumbic

Research output: Contribution to journal › Article › peer-review

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 n ≥ k. 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.

Original language	English
Pages (from-to)	189-203
Number of pages	15
Journal	Journal of Combinatorial Theory. Series B
Volume	19
Issue number	3
DOIs	https://doi.org/10.1016/0095-8956(75)90084-2
State	Published - Dec 1975
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/0095-8956(75)90084-2

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The inducibility of graphs

Abstract

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