Zaphenath Joseph

collaborators

2 papers

math.CO2025

EKR-Type Theorems for Pendant Graph Constructions

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

The classical ErdÅs--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 i…

math.CO2025

An EKR Theorem for the Cartesian Product of Complete Graphs

Zaphenath Joseph

The ErdÅs-Ko-Rado theorem states that for $r \leq \frac{n}{2}$ , the largest intersecting family of $r$ -subsets of $[n]$ is given by fixing a common element in all subsets, which t…