Groupe d’études et de recherche en analyse des décisions

Distance Laplacians of graphs

Mustapha Aouchiche HEC Montréal, Canada

The talk presents the distance Laplacian and the distance signless Laplacian matrices of graphs. The spectra of both matrices are compared to the distance spectrum. The distance Laplacian is shown to be equivalent to the combinatorial Laplacian over a large family of graphs. Similarities between n, the order of the graph, as a distance Laplacian eigenvalue, and the algebraic connectivity are established. Many other properties of the spectra of the distance Laplacian and the distance signless Laplacian are discussed.


Du café et des biscuits seront offerts au début du séminaire.
Bienvenue à tous!