14 citations · 66 across the 66 of their papers we have counts for
5 papers · 1 filter
Punctured intervals tile
Stijn Cambie
Extending the methods of Metrebian (2018), we prove that any symmetric punctured interval tiles . This solves two questions of Metrebian and completely resolves a ques…
VC dimension and a union theorem for set systems
Stijn Cambie, António Girão, Ross J. Kang
Fix positive integers and . We show that, as , any set system for which the VC dimension of $\{ \triangle_{i=1}^k S_i \mid S_i \in…
Maximum Wiener Indices of Unicyclic Graphs of Given Matching Number
Stijn Cambie
In this article, we determine the maximum Wiener indices of unicyclic graphs with given number of vertices and matching number. We also characterize the extremal graphs. This solve…
A Sauer-Shelah-Perles Lemma for Lattices
Stijn Cambie, Bogdan Chornomaz, Zeev Dvir +2
We study lattice-theoretical extensions of the celebrated Sauer-Shelah-Perles Lemma. We conjecture that a general Sauer-Shelah-Perlem Lemma holds for a lattice if and only if $…
Rectifying curves in the -dimensional Euclidean space
Stijn Cambie, Wendy Goemans, Iris Van den Bussche
In this article, we study rectifying curves in arbitrary dimensional Euclidean space. A curve is said to be a rectifying curve if, in all points of the curve, the orthogonal comple…