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インサイト - Combinatorics
Analyzing Scaling of Random Tamari Intervals and Schnyder Woods in Triangulations
Height of random Tamari intervals scales as n^3/4 with an explicit limit law.
New Graph and Hypergraph Container Lemmas with Applications in Property Testing
The connection between the container method and property testing is explored, providing new insights and bounds for various graph properties.
Optimal Bounds for Distinct Quartics in 2D Strings
The authors investigate the number of distinct quartics in 2D strings, providing optimal bounds and algorithms for computation.
Log-Concave Inequalities in Combinatorial Set Systems
The authors explore log-concave inequalities in various combinatorial set systems, proving matching equality conditions for earlier results and their extensions using linear algebra.
