New short proofs to some stability theorems

DOI10.1016/j.ejc.2021.103350zbMath1466.05104arXiv1903.01606OpenAlexW3159158595WikidataQ113875501 ScholiaQ113875501MaRDI QIDQ2033892

Xizhi Liu

Publication date: 18 June 2021

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.01606

zbMATH Keywords

Turán's theoremcancellative hypergraphs

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Hypergraphs (05C65) Ramsey theory (05D10)

Related Items (2)

Stability theorems for some Kruskal-Katona type results ⋮ A unified approach to hypergraph stability

Cites Work

• A proof of the stability of extremal graphs, Simonovits' stability from Szemerédi's regularity
• A new proof of the graph removal lemma
• Bounds on the number of complete subgraphs
• Three-graphs without two triples whose symmetric difference is contained in a third
• Stability theorems for cancellative hypergraphs
• Some sharp results on the generalized Turán numbers
• A hypergraph extension of Turán's theorem
• Stability Results for Two Classes of Hypergraphs
• Many \(T\) copies in \(H\)-free graphs
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