The Dirac operator of a graph
Oliver Knill
TL;DR
This paper explores the properties of the Dirac matrix associated with a finite simple graph, linking linear algebra concepts to graph theory.
Contribution
It introduces and analyzes the Dirac operator for graphs, providing new insights into its algebraic structure and potential applications.
Findings
Characterization of the Dirac matrix D for finite graphs
Connections between the Dirac operator and graph properties
Potential implications for spectral graph theory
Abstract
We discuss some linear algebra related to the Dirac matrix D of a finite simple graph G=(V,E).
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Taxonomy
TopicsMatrix Theory and Algorithms · Graph theory and applications · Advanced Topics in Algebra