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Generalized Turán densities in the hypercube

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Title
Generalized Turán densities in the hypercube
Author(s)
Axenovich, Maria; Benz, Laurin; Offner, David; Casey Tompkins
Publication Date
2023-02
Journal
Discrete Mathematics, v.346, no.2
Publisher
Elsevier BV
Abstract
© 2022 Elsevier B.V.A classical extremal, or Turán-type problem asks to determine ex(G,H), the largest number of edges in a subgraph of a graph G which does not contain a subgraph isomorphic to H. Alon and Shikhelman introduced the so-called generalized extremal number ex(G,T,H), defined to be the maximum number of subgraphs isomorphic to T in a subgraph of G that contains no subgraphs isomorphic to H. In this paper we investigate the case when G=Qn, the hypercube of dimension n, and T and H are smaller hypercubes or cycles.
URI
https://pr.ibs.re.kr/handle/8788114/13233
DOI
10.1016/j.disc.2022.113238
ISSN
0012-365X
Appears in Collections:
Pioneer Research Center for Mathematical and Computational Sciences(수리 및 계산과학 연구단) > Discrete Mathematics Group(이산 수학 그룹) > 1. Journal Papers (저널논문)
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