A5079317372- Topological and Geometric Data Analysis
- Complex Network Analysis Techniques
- Graph theory and applications
- Homotopy and Cohomology in Algebraic Topology
- Advanced Graph Theory Research
- Limits and Structures in Graph Theory
- Graph Labeling and Dimension Problems
- Advanced Combinatorial Mathematics
- Environmental Impact and Sustainability
- Rough Sets and Fuzzy Logic
- Energy, Environment, Economic Growth
- Complex Systems and Time Series Analysis
- Finite Group Theory Research
- Geography and Environmental Studies
- Communication and COVID-19 Impact
- Karst Systems and Hydrogeology
- Crime Patterns and Interventions
- Misinformation and Its Impacts
- Soil Management and Crop Yield
- Landslides and related hazards
- Mathematical Dynamics and Fractals
- Global trade and economics
- Hydrology and Watershed Management Studies
- Impact of Technology on Adolescents
- Multi-Agent Systems and Negotiation
Centre de Recherche Magellan
2016-2023
Université Jean Moulin Lyon III
2016-2023
Université Claude Bernard Lyon 1
2018-2020
UMR Espace-Dev
2012
Institut de Recherche pour le Développement
2011
Institut de Mathématiques de Toulouse
2006-2009
Centre National de la Recherche Scientifique
2008-2009
Université de Toulouse
2008-2009
Université Toulouse III - Paul Sabatier
2007-2008
Institut National des Sciences Appliquées de Toulouse
2007-2008
An even (resp. odd) lollipop is the coalescence of a cycle length and path with pendant vertex as distinguished vertex. It known that odd determined by its spectrum question asked W. Haemers, X. Liu Y. Zhang for lollipop. A private communication Behruz Tayfeh-Rezaie pointed out an at least $6$ but result lollipops $4$ still unknown. We give unified proof not equal to $4$, generalize it therefore answer question. Our essentially based on method counting closed walks.
We propose an analysis of the codified Law France as a structured system. Fifty two legal codes are selected on basis explicit criteria and considered vertices with their mutual quotations forming edges in network which properties analyzed relying graph theory. find that group 10 simultaneously most citing cited by other codes, also strongly connected together so "rich club" sub-graph. Three code communities found somewhat partition field is distinct thematic sub-domains. The interpretation...
Several matrices can be associated to a graph such as the adjacency matrix or Laplacian matrix. The spectrum of these gives some informations about structure and question ''Which graphs are determined by their spectrum?'' remains difficult problem in algebraic theory. In this article we enlarge known families considering unicyclic graphs. An odd (resp. even) sun is obtained appending pendant vertex each an cycle. A broken deleting vertices sun. paper prove that its spectrum,...
A disjoint union of complete graphs is in general not determined by its Laplacianspectrum. It shown this paper that if one only considers the family without isolated vertex, then a Laplacian spectrum within family. Moreover, it two with and b vertices, a/b > 5/3 >1 spectrum. counter-example given when = .
La Côte de Bourgogne (France) est l'un des vignobles les plus réputés au monde, ses « Climats » ont été inscrits sur la liste du patrimoine mondial l'UNESCO en 2015. Néanmoins, sont connus pour subir pertes sol parmi importantes Europe. Cette perte ressource implique une dégradation l'environnement, financière et sociale vignerons économies locales. Face à ces enjeux, cet article vise d'une part comprendre le fonctionnement système érosif qui se déploie dans vignoble, d'autre préciser rôle...
In this paper, we use graph theory to explore concepts of influence in socialized groups. When analyzing social networks, centrality indicators make it possible assess the power an individual. We discuss various and focus on degree betweenness. After observing a strong correlation between them, propose defining new assessments based decorrelation method that characterize from different mathematical perspectives (algebraic, probabilistic, statistical). apply theoretical framework network...
In order to compare social organization of a medieval peasantry before and after the Hundred Years' War we study sructure networks built from corpus agrarian contracts. Low diameters high clusterings show small-world graphs. Like many other studied these last years graphs are scale-free. The distributions vertex degrees fitted by truncated power law. Moreover they have rich-club : dense core with low diameter consisting vertices degree. particular shape laplacian spectrum allows us extract...