7 citations · 8 across the 5 of their papers we have counts for
5 papers
On the homology groups of clique complexes of strongly regular graphs
Sebastian M. Cioabă, Mutasim Mim
For a graph and a field the first clique-homology vanishes precisely when the cycle space of over is generated by…
Triangle Families with Large Edge Up-Laplacian Spectral Gap
Mutasim Mim
Let be a finite nonempty set of -element subsets of a totally ordered set . We view as the set of triangles in the support graph. Let $δ_{1,\mathc…
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…
On a Conjecture on the Wiener Index of a Maximal Planar Graph
Mutasim Mim
We prove that the Wiener Index of a Maximal Planar graph with vertices satisfies $W(G) \leq \Big{\lfloor} \frac{1}{18}(n^3 + 3n^2) \Big{\rfloor}$ for $3 \leq n \leq…
Isometric copies of and in transportation cost spaces on finite metric spaces
Seychelle S. Khan, Mutasim Mim, Mikhail I. Ostrovskii
Main results: (a) If a metric space contains elements, the transportation cost space on it contains a -complemented isometric copy of . (b) An example of a finite…