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From the 1 of 10 linked papers with an AI index.

activity
20242026
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10 papers

math.CO2026

Sidorenko property and forcing in regular tournaments

Daniel Král', Matjaž Krnc, Filip Kučerák +2

The paper fully characterizes which tournaments have the Sidorenko property for nearly regular tournaments, showing that a random tournament minimizes homomorphism density, and res…

math.CO2026

Local maximum of inducibility profiles

József Balogh, Bernard Lidický, Haoran Luo

For a graph and , denote by the supremum of induced density of over -vertex graphs with edge density as goes to infinity. Liu, Mubayi and Re…

math.CO2026

Density of rainbow triangles and properly colored 's

József Balogh, Peter Bradshaw, Ramon I. Garcia +1

We establish a sharp upper bound on the number of properly -edge-colored 's in graphs with red, green and blue edges. We give a computer-free flag-algebra proof…

math.CO2026

Flow-critical graphs

Arnbjörg Soffía Árnadóttir, Zdeněk Dvořák, Bernard Lidický +3

Lovász et al. proved that every -edge-connected graph has a nowhere-zero -flow. In fact, they proved a more technical statement which says that there exists a nowhere zero $…

math.CO2026

Semi-Inducibility of some small graphs

József Balogh, Bernard Lidický, Dhruv Mubayi +2

Let be a fixed graph whose edges are colored red and blue and let . Let be the (asymptotically normalized) maximum number of copies of in a large re…

math.OC2025

Lower and Upper Bounds for Small Canonical and Ordered Ramsey Numbers

Daniel Brosch, Bernard Lidický, Sydney Miyasaki +1

In this paper, we investigate three extensions of Ramsey numbers to other combinatorial settings. We first consider ordered Ramsey numbers. Here, we ask for a monochromatic copy of…