When does the K4‐free process stop?

DOI10.1002/rsa.20444zbMath1290.05134arXiv1007.3037OpenAlexW3101998289MaRDI QIDQ5415596

Lutz Warnke

Publication date: 13 May 2014

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.3037

zbMATH Keywords

Ramsey theoryrandom graph process\(H\)-free process

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Generalized Ramsey theory (05C55)

Related Items (17)

On the Random Greedy $F$-Free Hypergraph Process ⋮ On the power of random greedy algorithms ⋮ On the random greedy \(F\)-free hypergraph process ⋮ Upper tails for arithmetic progressions in random subsets ⋮ Packing nearly optimal Ramsey \(R(3,t)\) graphs ⋮ Dynamic concentration of the triangle‐free process ⋮ The jump of the clique chromatic number of random graphs ⋮ Dense subgraphs in the \(H\)-free process ⋮ The Triangle-Free Process and the Ramsey Number 𝑅(3,𝑘) ⋮ On the Method of Typical Bounded Differences ⋮ The \(Q_2\)-free process in the hypercube ⋮ On a conjecture of Erdős on locally sparse Steiner triple systems ⋮ On the missing log in upper tail estimates ⋮ The sum-free process ⋮ Large girth approximate Steiner triple systems ⋮ A note on the random greedy independent set algorithm ⋮ The Reverse H‐free Process for Strictly 2‐Balanced Graphs

Cites Work

• Dense subgraphs in the \(H\)-free process
• No dense subgraphs appear in the triangle-free graph process
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• Lower bounds for the size of random maximal \(H\)-free graphs
• The triangle-free process
• Graphs without large triangle free subgraphs
• Upper tails for subgraph counts in random graphs
• Differential equations for random processes and random graphs
• The deletion method for upper tail estimates
• A new lower bound for a Ramsey-type problem
• An Elementary View of Euler's Summation Formula
• 4-cycles at the triangle-free process
• Poisson approximation for large deviations
• Random Graph Processes with Degree Restrictions
• The infamous upper tail
• Large K_r‐free subgraphs in K_s‐free graphs and some other Ramsey‐type problems
• On the size of a random maximal graph
• Random maximalH-free graphs
• Bounding Ramsey numbers through large deviation inequalities
• The Ramsey number R(3, t) has order of magnitude t²/log t
• On the independence number of sparse graphs
• Threshold Functions for Ramsey Properties
• Probability Inequalities for Sums of Bounded Random Variables
• Triangle‐free subgraphs in the triangle‐free process
• The Construction of Certain Graphs

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