2 papers
math.CO2022
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…
math.CO2020
Moore-Penrose Inverses of the Signless Laplacian and Edge-Laplacian of Graphs
Ryan Hessert, Sudipta Mallik
The signless Laplacian Q and signless edge-Laplacian S of a given graph may or may not be invertible. The Moore-Penrose inverses of Q and S are studied. In particular, using the in…