A note on graphs with characteristic-dependent well-covered dimension

TL;DR

This paper explores graphs whose well-covered dimension varies with the characteristic of the field, providing methods to construct more such graphs from existing examples.

Contribution

It introduces new constructions of graphs with characteristic-dependent well-covered dimension, expanding understanding of their properties.

Findings

Identification of graphs with characteristic-dependent well-covered dimension

Methods to construct additional such graphs from known examples

Insights into how graph properties depend on field characteristics

Abstract

We investigate graphs that have characteristic-dependent well-covered dimension and show how more of these graphs can be constructed from known ones.