Mutasim Mim

collaborators

3 papers

math.CO2026

On the homology groups of clique complexes of strongly regular graphs

Sebastian M. CioabÄ, Mutasim Mim

For a graph $G$ and a field $F,$ the first clique-homology $H_{1} (Cl (G), F)$ vanishes precisely when the cycle space of $G$ over $F$ is generated by…

math.CO2026

Triangle Families with Large Edge Up-Laplacian Spectral Gap

Mutasim Mim

Let $T$ be a finite nonempty set of $3$ -element subsets of a totally ordered set $V$ . We view $T$ as the set of triangles in the support graph. Let $Î´_{1,\math…

math.CO2025

Clique complexes of strongly regular graphs, their eigenvalues, and cohomology groups

Sebastian M. CioabÄ, Krystal Guo, Chunxu Ji +1

It is known that non-isomorphic strongly regular graphs with the same parameters must be cospectral (have the same eigenvalues). In this paper, we investigate whether the spectra o…