14 citations · 39 across the 27 of their papers we have counts for
4 papers · 1 filter
Independence numbers of polyhedral graphs
Sébastien Gaspoz, Riccardo W. Maffucci
A polyhedral graph is a -connected planar graph. We find the least possible order of a polyhedral graph containing a -independent set of size for all positive in…
On smallest -polytopes of given graph radius
Riccardo W. Maffucci, Niels Willems
The -polytopes are planar, -connected graphs. A classical question is, for , is the -gonal prism the unique -polytope of graph radi…
Characterising -polytopes of radius one with unique realisation
Riccardo W. Maffucci
Let be a planar, -connected graph of radius one on vertices, with vertices of degree three. We characterise all unigraphic degree sequences for such graphs, when $a\…
On unigraphic -polytopes of radius one
Riccardo W. Maffucci
We ask which degree sequences admit a unique realisation as a -polytopal graph (polyhedron) on vertices. We give an exhaustive list of these sequences for the case where one…