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Ph.D de

Ph.D
Group : Graphs, ALgorithms and Combinatorics

EStudies on Optimal Colorful Structures in Vertex-Colored Graphs

Starts on 01/11/2015
Advisor : MANOUSSAKIS, Yannis

Funding : Contrat doctoral uniquement recherche
Affiliation : Université Paris-Saclay
Laboratory : LRI - GALaC

Defended on 07/12/2018, committee :
Directeur de thèse :
- Yannis MANOUSSAKIS, Université Paris-Sud

Rapporteurs :
- Mathieu LIEDLOFF, Université d'Orléans
- George MERTZIOS, Durham University

Examinateurs :
- Cristina BAZGAN, Université Paris Dauphine
- Marc BABOULIN, Université Paris-Sud
- Johanne COHEN, Université Paris-Sud

Research activities :

Abstract :
In this thesis, we study several different maximum colorful problems in vertex-colored graphs. In other words, we focus on finding popular structures such as matchings, paths, cycles, cliques and independent sets with the possible maximum number of colors by polynomial-time algorithms, or prove that these problems are NP-hard. Moreover, we also proposed efficient algorithms for these problems for some kinds of specific graphs where these problems are still NP-hard.

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MICRO VISUALIZATIONS: DESIGN AND ANALYSIS OF VISUALIZATIONS FOR SMALL DISPLAY SPACES
The topic of this habilitation is the study of very small data visualizations, micro visualizations, in display contexts that can only dedicate minimal rendering space for data representations. For several years, together with my collaborators, I have been studying human perception, interaction, and analysis with micro visualizations in multiple contexts. In this document I bring together three of my research streams related to micro visualizations: data glyphs, where my joint research focused on studying the perception of small-multiple micro visualizations, word-scale visualizations, where my joint research focused on small visualizations embedded in text-documents, and small mobile data visualizations for smartwatches or fitness trackers. I consider these types of small visualizations together under the umbrella term ``micro visualizations.'' Micro visualizations are useful in multiple visualization contexts and I have been working towards a better understanding of the complexities involved in designing and using micro visualizations. Here, I define the term micro visualization, summarize my own and other past research and design guidelines and outline several design spaces for different types of micro visualizations based on some of the work I was involved in since my PhD.