14 citations · 39 across the 27 of their papers we have counts for
5 papers · 1 filter
Correlation Structure and Resonant Pairs for Arithmetic Random Waves
Valentina Cammarota, Riccardo-W. Maffucci, Domenico Marinucci +1
The geometry of Arithmetic Random Waves has been extensively investigated in the last fifteen years, starting from the seminal papers [RW08, ORW08]. In this paper we study the corr…
On self-duality and unigraphicity for -polytopes
Riccardo W. Maffucci
Recent literature posed the problem of characterising the graph degree sequences with exactly one -polytopal (i.e. planar, -connected) realisation. This seems to be a difficu…
Rao's Theorem for forcibly planar sequences revisited
Riccardo W. Maffucci
We consider the graph degree sequences such that every realisation is a polyhedron. It turns out that there are exactly eight of them. All of these are unigraphic, in the sense tha…
On the faces of unigraphic -polytopes
Riccardo W. Maffucci
A -polytope is a -connected, planar graph. It is called unigraphic if it does not share its vertex degree sequence with any other -polytope, up to graph isomorphism. The c…
On unigraphic polyhedra with one vertex of degree
Jim Delitroz, Riccardo W. Maffucci
A sequence of non-negative integers is unigraphic if it is the degree sequence of exactly one graph, up to isomorphism. A polyhedral graph is a -connected, planar graph.…