Computing the Number of Induced Copies of a Fixed Graph in a Bounded Degree Graph

Open Access
Authors
Publication date 05-2019
Journal Algorithmica
Volume | Issue number 81 | 5
Pages (from-to) 1844–1858
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract In this paper we show that for any graph H of order m and any graph G of order n and maximum degree Δ one can compute the number of subsets S of V(G) that induces a graph isomorphic to H in time O(cm⋅n) for some constant c=c(Δ)>0 . This is essentially best possible (in the sense that there is noco(m)poly(n) -time algorithm under the exponential time hypothesis).
Document type Article
Language English
Published at https://doi.org/10.1007/s00453-018-0511-9
Other links https://www.scopus.com/pages/publications/85053416858
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