PhD thesis
- Gallai's path decomposition in planar graphs
Supervised by Marthe Bonamy and Nicolas Bonichon, defended on December 13, 2021.
Publications
Waiting for reviewers
- Gallai's path decomposition in planar graphs
A. Blanché, M. Bonamy, N. Bonichon
(arXiv:2110.08870).
Publications in journals
- Clique-width for graph classes closed under complementation
A. Blanché, K.K. Dabrowski, M. Johnson, V.V. Lozin, D. Paulusma and V. Zamaraev,
SIAM Journal on Discrete Mathematics 34(2): 1107-1147.
(arXiv:1705.07681) (doi). - Hereditary graph classes: when the complexities of colouring and clique cover coincide
A. Blanché, K.K. Dabrowski, M. Johnson and D. Paulusma,
Journal of Graph Theory 91(3): 267-289.
(arXiv:1607.06757) (doi).
Publications in conference proceedings
- Gallai's Path Decomposition for Planar Graphs
A. Blanché, M. Bonamy, N. Bonichon
Extended Abstracts EuroComb 2021, Trends in Mathematics, vol 14. Birkhäuser, Cham.
Nešetřil J., Perarnau G., Rué J., Serra O. (eds). pp 758-764.
September 6-10, 2021
(pdf) (doi). - Decremental Optimization of Dominating Sets Under the Reconfiguration Framework
A. Blanché, H. Mizuta, P. Ouvrard, A. Suzuki,
Combinatorial Algorithms - 31st International Workshop, IWOCA 2020, Proceedings.
Gasieniec, L., Gasieniec, L., Klasing, R. & Radzik, T. (eds.). Springer, pp. 69-82 14 p.
(Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 12126 LNCS).
Bordeaux, France, June 8-10, 2020
(pdf) (arXiv:1906.05163) (doi). - Clique-width for graph classes closed under complementation
A. Blanché, K.K. Dabrowski, M. Johnson, V.V. Lozin, D. Paulusma and V. Zamaraev,
Proceedings of the 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017),
Aalborg, Denmark, August 21-25, 2017, Leibniz International Proceedings in Informatics 83, 73:1-73:14
(arXiv:1705.07681) (doi).
Talks at conferences
-
European Conference on Combinatorics, Graph Theory and Applications (EuroComb) 2021 (online, September 2021)
Gallai's Path Decomposition Conjecture: The Case of Planar Graphs (slides) -
CanaDAM 2021 (online, May 2021)
Gallai's Path Decomposition Conjecture: The Case of Planar Graphs (slides) -
Journées Graphes et Algorithmes (online, November 2020)
Conjecture de Gallai de décomposition en chemins : Le cas des graphes planaires (slides, in French) -
International Workshop on Combinatorial Algorithms (IWOCA) (online, June 2020)
Decremental Optimization of Dominating Sets Under the Reconfiguration Framework (slides) -
Bordeaux Graph Workshop (Bordeaux, France, October 2019)
Optimizing dominating sets under constrained transformation (slides) -
Journées Graphes et Algorithmes (Grenoble, France, November 2018)
Optimisation décrémentale de la reconfiguration de dominants (slides, in French)
Stages de recherche
-
2018 : M2 internship at LaBRI, Bordeaux (France), supervised by Marthe Bonamy and
Nicolas Bonichon
Topic: Gallai's conjecture in planar graph classes
Preliminary results that lead to the proof of the conjecture on the class of planar graphs during my PhD (see arXiv:2110.08870 and my PhD thesis) -
2016 : M1 internship at Durham University (UK), supervised by Daniël Paulusma and Konrad K. Dabrowski, in collaboration with Matthew Johnson
See Clique-width for graph classes closed under complementation (arXiv:1705.07681) and Hereditary graph classes: when the complexities of colouring and clique cover coincide (arXiv:1607.06757) -
2015 : L3 internship at IRISA (Inria), Rennes (France), in team SUMO, supervised by Éric Fabre
Topic: Multiresolution aspects of diagnosis problem in finite automata (Internship report)
Conferences I attended
- European Conference on Combinatorics, Graph Theory and Applications (EuroComb) 2021 (online, September 2021)
- CanaDAM 2021 (online, May 2021)
- Journées Graphes et Algorithmes (online, November 2020)
- International Workshop on Combinatorial Algorithms (IWOCA) (online, June 2020)
- Journées Graphes et Algorithmes (Bruxelles, Belgium, November 2019)
- Bordeaux Graph Workshop (Bordeaux, France, October 2019)
- Journées Graphes et Algorithmes (Grenoble, France, November 2018)
- International Colloquium on Graph Theory and combinatorics (ICGT) (Lyon, France, July 2018)
Other
- I reviewed for Discrete Mathematics, Journal of Combinatorial Theory, Series B and Journal of Graph Theory.
- I was involved in the workshops DatCore (2018, Lyon, France) and CoRe (2019, Aussois, France), both on the theme of combinatorial reconfiguration (see my paper Decremental Optimization of Dominating Sets Under the Reconfiguration Framework (arXiv:1906.05163)).
- I made a research trip in Waterloo University (Ontario, Canada) to work with Luke Postle in June 2018.