47 citations · 64 across the 6 of their papers we have counts for
7 papers
The Network of French Legal Codes
Pierre Mazzega, Danièle Bourcier, Romain Boulet
We propose an analysis of the codified Law of France as a structured system. Fifty two legal codes are selected on the basis of explicit legal criteria and considered as vertices w…
A Network Approach to the French System of Legal codes - Part I: Analysis of a Dense Network
Romain Boulet
We explore one aspect of the structure of a codified legal system at the national level using a new type of representation to understand the strong or weak dependencies between the…
Network Analysis of the French Environmental Code
Romain Boulet, Pierre Mazzega, Danièle Bourcier
We perform a detailed analysis of the network constituted by the citations in a legal code, we search for hidden structures and properties. The graph associated to the Environmenta…
Simplicial simple-homotopy of flag complexes in terms of graphs
Romain Boulet, Etienne Fieux, Bertrand Jouve
A flag complex can be defined as a simplicial complex whose simplices correspond to complete subgraphs of its 1-skeleton taken as a graph. In this article, by introducing the notio…
The centipede is determined by its Laplacian spectrum
Romain Boulet
A centipede is a graph obtained by appending a pendant vertex to each vertex of degree 2 of a path. In this paper we prove that the centipede is determined by its Laplacian spectru…
The lollipop graph is determined by its spectrum
Romain Boulet, Bertrand Jouve
An even (resp. odd) lollipop is the coalescence of a cycle of even (resp. odd) length and a path with pendant vertex as distinguished vertex. It is known that the odd lollipop is d…