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20112026
most citedColored unavoidable patterns and balanceable graphs

9 citations · 30 across the 18 of their papers we have counts for

collaborators

24 papers

math.CO2026

The balanced upper chromatic number of linear hypergraphs and the -cube over elements

Gabriela Araujo-Pardo, Silvia Fernández-Merchant, Adriana Hansberg +3

A coloring of the vertices of a hypergraph is called \emph{balanced} if the sizes of the color classes differ by at most one. We say that a hyperedge is \emph{rainbow} if its eleme…

math.CO2022★ 6 cited

The evolution of unavoidable bi-chromatic patterns and extremal cases of balanceability

Yair Caro, Adriana Hansberg, Amanda Montejano

We study the color patterns that, for sufficiently large, are unavoidable in -colorings of the edges of a complete graph with respect to , where $…

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…

math.CO2020★ 1 cited

Graphs isomorphisms under edge-replacements and the family of amoebas

Yair Caro, Adriana Hansberg, Amanda Montejano

This paper offers a systematic study of a family of graphs called amoebas. Amoebas recently emerged from the study of forced patterns in -colorings of the edges of the complete…