4 citations · 6 across the 12 of their papers we have counts for
4 papers · 1 filter
Codes from incidence matrices of hypergraphs
Sudipta Mallik, Bahattin Yildiz
Binary codes are constructed from incidence matrices of hypergraphs. A combinatroial description is given for the minimum distances of such codes via a combinatorial tool called ``…
Matrix tree theorem for the net Laplacian matrix of a signed graph
Sudipta Mallik
For a simple signed graph with the adjacency matrix and net degree matrix , the net Laplacian matrix is . We introduce a new oriented incidence…
Incidence and Laplacian matrices of wheel graphs and their inverses
Jerad Ipsen, Sudipta Mallik
It has been an open problem to find the Moore-Penrose inverses of the incidence, Laplacian, and signless Laplacian matrices of families of graphs except trees and unicyclic graphs.…
The Inverse of the Incidence Matrix of a Unicyclic Graph
Ryan Hessert, Sudipta Mallik
The vertex-edge incidence matrix of a (connected) unicyclic graph G is a square matrix which is invertible if and only if the cycle of G is an odd cycle. A combinatorial formula of…