Exploring Cordial Labeling techniques in Brain Connectivity Network

Abstract

Graph-theoretical labeling provides a rigorous mathematical framework for characterizing the structural and functional organization of complex networks. This paper investigates the application of cordial labeling and signed product cordial labeling to brain connectivity graphs, emphasizing their relevance to small-world network models in neuroscience. The cordial condition is interpreted as a measure of structural balance between excitatory and inhibitory neuronal interactions, while the signed product cordial labeling reflects the coexistence of cooperative and antagonistic neural dynamics.