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Discrete Mathematics

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Discrete Mathematics

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Research Frontiers in Spectral Graph Theory and Eigenvalues

Study of graph properties through eigenvalues and eigenvectors of adjacency and Laplacian matrices, including spectral gaps and graph expansion.

Spectral Gaps and Expansion in Random Geometric Networks
Eigenvalue Inequalities Beyond the Petersen Graph
Nodal Domains and Spectral Partitioning Algorithms
Laplacian Eigenvalues in Hyperbolic Graph Geometry
Spectral Rigidity in Sparse and Expander Graphs
Eigenvalue Localization in Temporal Network Dynamics
Signed Graphs and Non-Real Spectral Phenomena
Quantum Walks and Spectral Relaxation Times
Subgraph Counting via Spectral Moments and Traces
Eigenvalue Approximation in Weighted Multigraph Families

All Discrete Mathematics PhD categories