MOCK SUNS

Supramolecular NanoStamping (SuNS)

When a useful device is developed, it always requires a mass-production technique to industrialize it. In the era of nano/biotechnology, the development of printing techniques has not followed the speed of the inventions of novel devices. One of the main challenges is handling at the same time the resolution and the chemical complexity of these nano/biodevices. Here a new stamping technique, Su...

Recursively Arbitrarily Vertex-decomposable Suns

A graph G = (V,E) is arbitrarily vertex decomposable if for any sequence τ of positive integers adding up to |V |, there is a sequence of vertex-disjoint subsets of V whose orders are given by τ , and which induce connected graphs. The aim of this paper is to study the recursive version of this problem on a special class of graphs called suns. This paper is a complement of [O. Baudon, F. Gilber...

On Strict Suns in ℓ ∞ (3)

Right-angled Mock Reflection and Mock Artin Groups

We define a right-angled mock reflection group to be a group G acting combinatorially on a CAT(0) cubical complex such that the action is simply-transitive on the vertex set and all edge-stabilizers are Z2. We give a combinatorial characterization of these groups in terms of graphs with local involutions. Any such graph Γ not only determines a mock reflection group, but it also determines a rig...

Mock Tridiagonal Systems

We introduce the notion of a mock tridiagonal system. This is a generalization of a tridiagonal system in which the irreducibility assumption is replaced by a certain nonvanishing condition. We show how mock tridiagonal systems can be used to construct tridiagonal systems that meet certain specifications. This paper is part of our ongoing project to classify the tridiagonal systems up to isomor...