Abstract:
For a graph G, a neighborhood balanced coloring is a coloring of the vertices using red and blue such that each vertex has an equal number of red and blue vertices in its neighborhood. We introduce a variation called a closed neighborhood balanced coloring in which each closed neighborhood (which includes the vertex itself) has an equal number of red and blue vertices. A graph is closed neighborhood balanced colorable (CNBC) if such a coloring exists. In this talk, we will discuss various families of CNBC graphs, focusing on trees and classes relating to graph products.
Scheduled for: 2026-03-28 10:20 AM: Contributed Papers Session #5.2
Status: Accepted
Collection: Contributed Papers
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