Junichiro Fukuyama

collaborators

3 papers

math.CO2026

The Sunflower Conjecture Proven

Junichiro Fukuyama

We demonstrate the truth of the sunflower conjecture by showing that a family $F$ of sets each of cardinality at most $m$ includes a $k$ -sunflower, if $|\mathcal{F}| > (…

math.CO2025

Sunflower Bound with a Sub-Logarithmic Base

Junichiro Fukuyama

We show that a family $F$ of sets each of cardinality $m \in Z_{> 2}$ includes a $k$ -sunflower if $ |\mathcal{F}| \ge \left( \frac{c k^2 \ln m}{\ln \ln m} \right)…

math.CO2025

Extensions of a Family for Sunflowers

Junichiro Fukuyama

This paper explores the structure of the combinatorial domain $2^{X}$ in relation to sunflowers. The previous study found some intrinsic properties of the $l$ -extension \[ Ext \left(…