Research
Research interests: graph theory (algorithms and structure), theoretical computer science.
PhD Students
- Simon Dreyer (2024-) - co-supervised with A. Pinlou
- Hoang La (2019-2022), 2-distance coloring of sparse graphs - co-supervised with M. Montassier and A. Pinlou
- Sarah Blind (2017-2019), Output-sensitive algorithms for enumeration problems in graphs - co-supervised with N. Creignou, K. Knauer and F. Olive
Publications
- S. Cambie, F. Dross, K. Knauer, H. La, P. Valicov, Partitions of planar (oriented) graphs into a connected acyclic and an independent set.
Submitted
- H. La, P. Valicov, Computer assisted discharging procedure on planar graphs: application to 2-distance coloring.
Submitted
Source code : https://gite.lirmm.fr/discharging/planar-graphs
- K. Knauer, H. La, P. Valicov, Feedback vertex sets in (directed) graphs of bounded degeneracy or treewidth.
Electronic Journal of Combinatorics, Volume 29 (4), 2022.
- F. Foucaud, H. Hocquard, S. Mishra, N. Narayanan, R. Naserasr, É. Sopena, P. Valicov, Exact square coloring of subcubic planar graphs.
Discrete Applied Mathematics, Volume 293, Pages 74-89, 2021
- H. La, M. Montassier, A. Pinlou, P. Valicov, r-hued (r+1)-coloring of planar graphs with girth at least 8.
European Journal of Combinatorics, Volume 91, 2021
- S. Blind, K. Knauer, P. Valicov, Enumerating k-arc-connected orientations.
Algorithmica, Volume 82, Pages 3588-3603, 2020
- K. Knauer, P. Valicov, Cuts in matchings of 3-connected cubic graphs.
European Journal of Combinatorics, Volume 76, Pages 27-36, 2019.
- F. Foucaud, G. Mertzios, R. Naserasr, A. Parreau, P. Valicov, Identification, location-domination and metric dimension on interval and permutation graphs. I. Bounds. Theoretical Computer Science, Volume 668, Pages 43–58, 2017
- F. Foucaud, G. Mertzios, R. Naserasr, A. Parreau, P. Valicov, Identification, location-domination and metric dimension on interval and permutation graphs. II. Algorithms and complexity. Algorithmica, Volume 78 (3), Pages 914--944, 2017
- K. Knauer, P. Valicov, P. Wenger, Planar digraphs without large acyclic sets.
Journal of Graph Theory, Volume 85 (1), Pages 288–291, 2017
- J. Bensmail, A. Lagoutte, P. Valicov, Strong edge-coloring of (3, Δ)-bipartite graphs.
Discete Mathematics, Volume 339 (1), Pages 391–398, 2016.
- V. Borozan, G.J. Chang, N. Cohen, S. Fujita, N. Narayanan, R. Naserasr, P. Valicov, From edge-coloring to strong edge-coloring.
Electronic Journal of Combinatorics, Volume 22 (2), 2015.
- J. Bensmail, A. Harutyunyan, H. Hocquard, P. Valicov, Strong edge-colouring of sparse planar graphs.
Discrete Applied Mathematics, Volume 179, Pages 229–234, 2014.
- H. Hocquard, M. Montassier, A. Raspaud, P. Valicov, On strong edge-colouring of subcubic graphs.
Discrete Applied Mathematics, Volume 161 (16–17), Pages 2467–2479, 2013.
- H. Hocquard, P. Ochem, P. Valicov, Strong edge-colouring and induced matchings.
Information Processing Letters, Volume 113 (19-21), Pages 836–843, 2013.
- F. Foucaud, S. Gravier, R. Naserasr, A. Parreau, P. Valicov, Identifying codes in line graphs.
Journal of Graph Theory, Volume 73 (4), pages 425–448, 2013.
- H. Hocquard, P. Valicov, Strong edge colouring of subcubic graphs.
Discrete Applied Mathematics, Volume 159 (15), Pages 1650–1657, 2011.
- C. Joncour, A. Pêcher, P. Valicov, MPQ-trees for the orthogonal packing problem.
Journal of Mathematical Modelling and Algorithms, Volume 11 (1), Pages 3–22, 2011.
Software implementing the algorithm to solve the multidemensional orthogonal packing problem : AlgoKP
- F. Foucaud, E. Guerrini, M. Kovše, R. Naserasr, A. Parreau, P. Valicov, Extremal graphs for the identifying code problem.
European Journal of Combinatorics, Volume 32 (4), Pages 628–638, 2011.
Conferences with refereed proceedings
- F. Foucaud, S. Mishra, N. Narayanan, R. Naserasr, P. Valicov, Cliques in exact distance powers of graphs of given maximum degree.
Proceedings of the 11th Latin and American Algorithms, Graphs and Optimisation Symposium (LAGOS 2021), Procedia Computer Science 195:427–436, 2021.
- F. Foucaud, G. Mertzios, R. Naserasr, A. Parreau, P. Valicov, Algorithms and complexity for metric dimension and location-domination on interval and permutation graphs. Proceedings of the 41st International Workshop on Graph-Theoretic Concepts in Computer Science (WG 2015).
Lecture Notes in Computer Science 9224:456-471, 2016. [arXiv (full manuscript)]
- F. Foucaud, S. Gravier, R. Naserasr, A. Parreau, P. Valicov, Edge-identifying codes (identifying codes in line graphs).
Eurocomb'11, Budapest, Hungary
- H. Hocquard, P. Ochem, P. Valicov, Bounds and complexity results for strong edge colouring of subcubic graphs.
Eurocomb'11, Budapest, Hungary
- C. Joncour, A. Pêcher, P. Valicov, MPQ-trees for orthogonal packing problem.
ISCO 2010, Tunisia, Electronic Notes in Discrete Mathematics, Volume 36, 1 August 2010, Pages 423-429
Manuscripts
- P. Valicov, (2,3)-bipartite graphs are strongly 6-edge-choosable. Manuscript, 2018
- F. Foucaud, R. Naserasr, A. Parreau, P. Valicov, On powers of interval graphs and their orders. Manuscript, 2015
- F. Foucaud, A. Parreau, P. Valicov. Locally identifying colouring planar graphs of small maximum degree and girth 5 with four colours is NP-hard. Manuscript, 2011
- PhD thesis, On packing, colouring and identification problems, 2012.