4 papers
Independence Polynomials of 2-step Nilpotent Lie Algebras
Marco Aldi, Thor Gabrielsen, Daniele Grandini +2
Motivated by the Dani-Mainkar construction, we extend the notion of independence polynomial of graphs to arbitrary 2-step nilpotent Lie algebras. After establishing efficiently com…
Tensorial Constraints for Commuting Endomorphisms of the Generalized Tangent Bundle
Marco Aldi, Sergio Da Silva, Daniele Grandini
In this paper we consider families of mutually commuting endomorphisms of the generalized tangent bundle. We identify natural tensorial constraints extending the notion of a genera…
An Efficiently Computable Lower Bound for the Independence Number of Hypergraphs
Marco Aldi, Thor Gabrielsen, Daniele Grandini +2
We introduce a lower bound for the independence number of an arbitrary -uniform hypergraph that only depends on the number of vertices and number of edges of the hypergraph.
On the cohomology of Lie algebras associated with graphs
Marco Aldi, Andrew Butler, Jordan Gardiner +3
We describe a canonical decomposition of the cohomology of the Dani-Mainkar metabelian Lie algebras associated with graphs. As applications, we obtain explicit formulas for the thi…