activity
20112026
most citedOn the balanceability of some graph classes

12 citations · 43 across the 17 of their papers we have counts for

collaborators

23 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.CO2024

Graphs with constant links and induced Turán numbers

Yair Caro, Adriana Hansberg, Zsolt Tuza

A graph of constant link is a graph in which the neighborhood of any vertex induces a graph isomorphic to . Given two different graphs, and , the induced Turán nu…

math.CO2024

Unavoidable patterns in -colorings of the complete bipartite graph

Adriana Hansberg, Denae Ventura

We determine the colored patterns that appear in any -edge coloring of , with large enough and with sufficient edges in each color. We prove the existence of a posi…

math.CO2023

New recursive constructions of amoebas and their balancing number

Laura Eslava, Adriana Hansberg, Tonatiuh Matos Wiederhold +1

The definition of amoeba graphs is based on iterative \emph{feasible edge-replacements}, where, at each step, an edge from the graph is removed and placed in an available spot in a…

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

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…