4 papers
math.CO2026
On Ramsey Properties of k-Majority Tournaments
Asaf Shapira, Raphael Yuster
A central objective in Ramsey theory is determining whether restricted families of discrete structures necessarily contain substantially larger homogeneous substructures, compared…
math.CO2026
On the maximum density of a matrix and a transcendental Turán-type density
Raphael Yuster
We prove that the inducibility of in ordered monotone balanced bipartite graphs is , establishing the smallest known graph with transcendental Turán-type density. Mor…
math.CO2025
Acyclic subgraphs of digraphs with high chromatic number
Raphael Yuster
For a digraph , let be the maximum chromatic number of an acyclic subgraph of . For an -vertex digraph it is proved that where…
math.CO2025
Inducibility in -free graphs and inducibility of Turán graphs
Raphael Yuster
For graphs and , let denote the inducibility of and let denote the inducibility of over -free graphs. We prove that for almost all graphs on a…