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math.CO2021
Sidon-Ramsey and -Ramsey numbers
Manuel A. Espinosa-García, Amanda Montejano, Edgardo Roldán-Pensado +1
For a given positive integer , the Sidon-Ramsey number $\SR(k)$ is defined as the minimum value of such that, in every partition of the set into parts, there ex…
math.CO2021
Erdős-Ginzburg-Ziv type generalizations for linear equations and linear inequalities in three variables
Mario Huicochea, Amanda Montejano
For any linear inequality in three variables , we determine (if it exist) the smallest integer such that: for every mapping $χ…
math.CO2021
Recursive constructions of amoebas
Adriana Hansberg, Amanda Montejano, Yair Caro
Global amoebas are a wide and rich family of graphs that emerged from the study of certain Ramsey-Turán problems in -colorings of the edges of the complete graph that deal…