189 citations · 257 across the 5 of their papers we have counts for
6 papers
House of Graphs 2.0: a database of interesting graphs and more
Kris Coolsaet, Sven D'hondt, Jan Goedgebeur
In 2012 we announced the House of Graphs (https://houseofgraphs.org) [Discrete Appl. Math. 161 (2013), 311-314], which was a new database of graphs. The House of Graphs hosts compl…
Local Orientation-Preserving Symmetry Preserving Operations on Polyhedra
Pieter Goetschalckx, Kris Coolsaet, Nico Van Cleemput
Unifying approaches by amongst others Archimedes, Kepler, Goldberg, Caspar and Klug, Coxeter, and Conway, and extending on a previous formalisation of the concept of local symmetry…
Generation of Local Symmetry-Preserving Operations
Pieter Goetschalckx, Kris Coolsaet, Nico Van Cleemput
We introduce a new practical and more general definition of local symmetry-preserving operations on polyhedra. These can be applied to arbitrary plane graphs and result in plane gr…
Generation and properties of nut graphs
Kris Coolsaet, Patrick W. Fowler, Jan Goedgebeur
A nut graph is a graph on at least 2 vertices whose adjacency matrix has nullity 1 and for which non-trivial kernel vectors do not contain a zero. Chemical graphs are connected, wi…
House of Graphs: a database of interesting graphs
Gunnar Brinkmann, Kris Coolsaet, Jan Goedgebeur +1
In this note we present House of Graphs (http://hog.grinvin.org) which is a new database of graphs. The key principle is to have a searchable database and offer -- next to complete…
The known maximal partial ovoids of size of Q(4,q)
Kris Coolsaet, Jan De Beule, Alessandro Siciliano
We present a description of maximal partial ovoids of size of the parabolic quadric $\q(4,q)$ as sharply transitive subsets of $\SL(2,q)$ and show their connection with spr…