Luis Boza

activity

20232026

collaborators

3 papers

math.CO2026

New Upper Bounds for the Classical Ramsey Numbers $R (4, 4, 4)$ , $R (3, 4, 5)$ and $R (3, 3, 6)$

Luis Boza

The inequality \[ R(k_1,\ldots,k_r)\le 2-r+\sum_{i=1}^r R(k_1,\ldots,k_{i-1},k_i-1,k_{i+1},\ldots,k_r) \] is well known, and it is strict whenever the right-hand side and at least…

math.CO2024

Exact Values and Bounds for Ramsey Numbers of $C_{4}$ Versus a Star Graph

Luis Boza

We study Ramsey numbers of the form $R (C_{4}, K_{1, n})$ . We determine the eight previously unknown values of $R (C_{4}, K_{1, n})$ for $n \leq 38$ . In particular, we show that $R(C_4,K_{1,27…

math.CO2023

Some Upper Bounds on Ramsey Numbers Involving $C_{4}$

Luis Boza, Stanisław Radziszowski

We obtain some new upper bounds on the Ramsey numbers of the form $R (m C_{4}, \dots, C_{4}, G_{1}, \dots, G_{n})$ , where $m \geq 1$ and $G_{1}, \dots, G_{n}$ are arbitrary graphs. We fo…

New Upper Bounds for the Classical Ramsey Numbers R(4,4,4), R(3,4,5) and R(3,3,6)

Exact Values and Bounds for Ramsey Numbers of C4​ Versus a Star Graph

Some Upper Bounds on Ramsey Numbers Involving C4​

New Upper Bounds for the Classical Ramsey Numbers $R (4, 4, 4)$ , $R (3, 4, 5)$ and $R (3, 3, 6)$

Exact Values and Bounds for Ramsey Numbers of $C_{4}$ Versus a Star Graph

Some Upper Bounds on Ramsey Numbers Involving $C_{4}$