Counting small induced subgraphs satisfying monotone properties

Given a graph property Φ, the problem #IndSub(Φ) asks, on input a graph G and a positive integer k, to compute the number #IndSub(Φ, k → G) of induced subgraphs of size k in G that satisfy Φ. The search for explicit criteria on Φ ensuring that #IndSub(Φ) is hard was initiated by Jerrum and Meeks [J....

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Bibliographic Details
Main Authors: Roth, M, Schmitt, J, Wellnitz, P
Format: Journal article
Language:English
Published: Society for Industrial and Applied Mathematics 2022