Mutasim Mim

most citedOn a Conjecture on the Wiener Index of a Maximal Planar Graph

1 citations · 1 across the 2 of their papers we have counts for

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math.CO2026

On the homology groups of clique complexes of strongly regular graphs

Sebastian M. Cioabă, 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 $δ_{1,\mathc…

math.CO2025

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

Sebastian M. Cioabă, 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…

math.CO2019★ 1 cited

On a Conjecture on the Wiener Index of a Maximal Planar Graph

Mutasim Mim

We prove that the Wiener Index $W (G)$ of a Maximal Planar graph $G$ with $n$ vertices satisfies $W(G) \leq \Big{\lfloor} \frac{1}{18}(n^3 + 3n^2) \Big{\rfloor}$ for $3 \leq n \leq…