Melissa M. Fuentes

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20202025

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4 papers · 1 filter

math.CO2025

EKR-Type Theorems for Pendant Graph Constructions

Michael Carrion, Melissa M. Fuentes, Zaphenath Joseph +1

The classical Erdős--Ko--Rado (EKR) theorem characterizes the maximum size of intersecting families of $r$ -element subsets of an $n$ -element set. We study EKR-type questions for in…

math.CO2024

On intersecting families of subgraphs of perfect matchings

Melissa M. Fuentes, Vikram Kamat

The seminal Erdős--Ko--Rado (EKR) theorem states that if $F$ is a family of $k$ -subsets of an $n$ -element set $X$ for $k \leq n /2$ such that every pair of subsets in $\mat…

math.CO2022

The extremality of 2-partite Turán graphs with respect to the number of colorings

Melissa M Fuentes

We consider a problem proposed by Linial and Wilf to determine the structure of graphs that allows the maximum number of $q$ -colorings among graphs with $n$ vertices and $m$ edges.…

math.CO2020

Hadamard diagonalizable graphs of order at most 36

Jane Breen, Steve Butler, Melissa Fuentes +7

If the Laplacian matrix of a graph has a full set of orthogonal eigenvectors with entries $\pm 1$ , then the matrix formed by taking the columns as the eigenvectors is a Hadamard mat…