Digraph extremal problems, hypergraph extremal problems, and the densities of graph structures

DOI10.1016/0012-365X(84)90178-XzbMath0541.05035OpenAlexW1989402342MaRDI QIDQ794664

William G. Brown, Miklós Simmonovits

Publication date: 1984

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(84)90178-x

zbMATH Keywords

extremal densitymaximum number of oriented hyperedgesTuran type theoremsuniform directed hypergraph

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Hypergraphs (05C65) Directed graphs (digraphs), tournaments (05C20)

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Inequalities in probability theory and turán-type problems for graphs with colored vertices, On the jumping constant conjecture for multigraphs, Co-degree density of hypergraphs, On the maximal number of edges in a homogeneous hypergraph not containing prohibited subgraphs, The inducibility of complete bipartite graphs, An exact Turán result for tripartite 3-graphs, The maximal length of a gap between \(r\)-graph Turán densities, Coloring directed hypergraphs, On possible Turán densities, Embedding Graphs into Larger Graphs: Results, Methods, and Problems, Computing the \(p\)-spectral radii of uniform hypergraphs with applications, Extremal numbers for directed hypergraphs with two edges, 4-books of three pages, Algorithmic Solution of Extremal Digraph Problems, Coverings of r—graphs by complete r—partite subgraphs, Variations on the theme of repeated distances, Popular distances in 3-space, Non-jumping Turán densities of hypergraphs, Asymptotic solution for a new class of forbidden r-graphs, On the algebraic and topological structure of the set of Turán densities, Turán problems for integer-weighted graphs

Cites Work

• Extremals of functions on graphs with applications to graphs and hypergraphs
• On some extremal problems on \(r\)-graphs
• Extremal problems for directed graphs
• On the existence of triangulated spheres in 3-graphs, and related problems
• Maxima for Graphs and a New Proof of a Theorem of Turán
• On the theory of graphs
• On the structure of linear graphs
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