On the number of edges in a \(K_5\)-minor-free graph of given girth
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Publication:6542053
DOI10.1016/J.DISC.2024.114042zbMATH Open1539.05054MaRDI QIDQ6542053
Publication date: 21 May 2024
Published in: Discrete Mathematics (Search for Journal in Brave)
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Extremal problems in graph theory (05C35) Enumeration in graph theory (05C30) Combinatorial probability (60C05) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Graph minors (05C83)
Cites Work
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- Extremal results regarding \(K_6\)-minors in graphs of girth at least 5
- Lower bound of the Hadwiger number of graphs by their average degree
- Girth in graphs
- Topological subgraphs in graphs of large girth
- The extremal functions for triangle-free graphs with excluded minors
- The extremal function for complete minors
- 3-list-coloring planar graphs of girth 5
- The extremal function for \(K_{9}\) minors
- Homomorphieeigenschaften und mittlere Kantendichte von Graphen
- Über eine Eigenschaft der ebenen Komplexe
- Extremal \(K_4\)-minor-free graphs without short cycles
- An extremal function for contractions of graphs
- Minors in graphs of large girth
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