Mutasim Mim

activity

20192026

ℓ_{\infty}^{n}

and

ℓ_{1}^{n}

in transportation cost spaces on finite metric spaces

7 citations · 8 across the 5 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

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★ 7 cited

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…

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