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Algebraic Characterizations of DRGs by Nor Azira is a document available to read on EtoBox.
This thesis examines algebraic characterizations of distance-regular graphs through their adjacency matrices, principal idempotent matrices, distance polynomials, and spectra. Chapter I provides background on algebraic graph theory, defining adjacency matrices and discussing properties like the number of walks between vertices. Subsequent chapters introduce distance-regular graphs and present equivalences relating their structural properties to algebraic properties of associated matrices and polynomials.
- Author
- Nor Azira
- Language
- EN