S. Muhmood

collaborators

3 papers

math.AT2017

Spanning Simplicial Complexes of Uni-Cyclic Multigraphs

Imran Ahmed, Shahid Muhmood

A multigraph is a nonsimple graph which is permitted to have multiple edges, that is, edges that have the same end nodes. We introduce the concept of spanning simplicial complexes…

math.AT2017

Characterizations of Line Simplicial Complexes

Imran Ahmed, Shahid Muhmood

Let $G$ be a finite simple graph. The line graph $L (G)$ represents the adjacencies between edges of $G$ . We define first the line simplicial complex $Δ_{L} (G)$ of $G$ containing Gall…

math.AT2017

Topological and Algebraic Characterizations of Gallai-Simplicial Complexes

Imran Ahmed, Shahid Muhmood

We recall first Gallai-simplicial complex $Δ_{Γ} (G)$ associated to Gallai graph $Γ (G)$ of a planar graph $G$ . The Euler characteristic is a very useful topological and homotopic inva…