activity
20092023
most citedElementary moves on lattice polytopes

4 citations · 7 across the 6 of their papers we have counts for

collaborators

6 papers

cs.DS2023★ 1 cited

Approximate Cartesian Tree Matching: an Approach Using Swaps

Bastien Auvray, Julien David, Richard Groult +1

Cartesian tree pattern matching consists of finding all the factors of a text that have the same Cartesian tree than a given pattern. There already exist theoretical and practical…

math.MG2018★ 4 cited

Elementary moves on lattice polytopes

Julien David, Lionel Pournin, Rado Rakotonarivo

We introduce a graph structure on Euclidean polytopes. The vertices of this graph are the -dimensional polytopes contained in and its edges connect any two polyto…

cs.DC2016

Parallel Galton Watson Process

Olivier Bodini, Camille Coti, Julien David

In this paper, we study a parallel version of Galton-Watson processes for the random generation of tree-shaped structures. Random trees are useful in many situations (testing, bina…

cs.DM2014

Random-bit optimal uniform sampling for rooted planar trees with given sequence of degrees and Applications

Olivier Bodini, David Julien, Marchal Philippe

In this paper, we redesign and simplify an algorithm due to Remy et al. for the generation of rooted planar trees that satisfies a given partition of degrees. This new version is n…

cs.FL2011★ 1 cited

Asymptotic enumeration of Minimal Automata

Frederique Bassino, Julien David, Andrea Sportiello

We determine the asymptotic proportion of minimal automata, within n-state accessible deterministic complete automata over a k-letter alphabet, with the uniform distribution over t…

cs.DS2009★ 1 cited

On the Average Complexity of Moore's State Minimization Algorithm

Frédérique Bassino, Julien David, Cyril Nicaud

We prove that, for any arbitrary finite alphabet and for the uniform distribution over deterministic and accessible automata with n states, the average complexity of Moore's state…