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Generalized Turán problems for K2,t

Gerbner, Dániel (2023) Generalized Turán problems for K2,t. ELECTRONIC JOURNAL OF COMBINATORICS, 30 (1). ISSN 1097-1440

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Abstract

The generalized Turán function ex(n, H, F) denotes the largest number of copies of H among F-free n-vertex graphs. We study ex(n, H, F) when H or F is K2,t. We determine the order of magnitude of ex(n, H, K2,t) when H is a tree, and determine its asymptotics for a large class of trees. We also determine the asymptotics of ex(n, K2,t, F) when F has chromatic number at least three and when F is bipartite with one part of order at most two.

Item Type: Article
Additional Information: Export Date: 14 March 2023 Correspondence Address: Gerbner, D.; Alfréd Rényi Institute of MathematicsHungary Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFIH Funding details: National Research, Development and Innovation Office, FK 132060, KH 130371, KKP-133819, SNN 129364 Funding text 1: Funding: Research supported by the National Research, Development and Innovation Office - NKFIH under the grants KH 130371, SNN 129364, FK 132060, and KKP-133819. Funding text 2: Research supported by the National Research, Development and Innovation Office-NKFIH under the grants KH 130371, SNN 129364, FK 132060, and KKP133819.
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 05 Apr 2024 11:42
Last Modified: 05 Apr 2024 11:42
URI: https://real.mtak.hu/id/eprint/191872

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