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math.CO2026
Spectral properties of the resistance Laplacian with applications to data clustering and anomaly detection
Priyavrat Deshpande, Gargi Lather
The resistance Laplacian is a graph matrix associated with the effective resistance metric and provides a global counterpart of the classical graph Laplacian. Although it inherits…
math.CO2026
On a complete characterization of path-free complexes associated with complete multipartite graphs
Priyavrat Deshpande, Shuchita Goyal, Rutuja Sawant
Let be a graph and let $\PF_t(G)$ denote the simplicial complex whose faces are vertex subsets whose induced subgraphs contain no path on vertices. These complexes encode a…
math.CO2026
Vertex decomposable complexes of directed forests, conflict graphs and chordality
Priyavrat Deshpande, Rutuja Sawant
Let be a multidigraph. We study the simplicial complex , whose vertices are the directed edges of and whose faces correspond to directed linear forests, th…