Exploring Cordial Labeling techniques in Brain Connectivity Network

TL;DR

This paper explores the use of cordial and signed product cordial labeling techniques to analyze brain connectivity networks, providing insights into neural interactions and dynamics.

Contribution

It introduces the application of cordial labeling methods to brain graphs, linking mathematical graph properties to neural structural and functional organization.

Findings

Cordial labeling reflects structural balance in neural interactions.

Signed product cordial labeling captures coexistence of cooperative and antagonistic neural dynamics.

Provides a new mathematical framework for analyzing brain connectivity networks.

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.