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

collaborators

3 papers

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…

math.FA2019

Isometric copies of $ℓ_{\infty}^{n}$ and $ℓ_{1}^{n}$ in transportation cost spaces on finite metric spaces

Seychelle S. Khan, Mutasim Mim, Mikhail I. Ostrovskii

Main results: (a) If a metric space contains $2 n$ elements, the transportation cost space on it contains a $1$ -complemented isometric copy of $ℓ_{1}^{n}$ . (b) An example of a finite…

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

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

Isometric copies of ℓ∞n​ and ℓ1n​ in transportation cost spaces on finite metric spaces

Isometric copies of $ℓ_{\infty}^{n}$ and $ℓ_{1}^{n}$ in transportation cost spaces on finite metric spaces