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19932026
most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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Showing 2024 · math.COShow all

9 papers · 2 filters

math.CO2024

Fast construction of self-avoiding polygons and efficient evaluation of closed walk fractions on the square lattice

Jean Fromentin, Pierre-Louis Giscard, Yohan Hosten

We build upon a recent theoretical breakthrough by employing novel algorithms to accurately compute the fractions of all closed walks on the infinite square lattice whose the…

math.CO2024

Submodular functions, generalized permutahedra, conforming preorders, and cointeracting bialgebras

Gunnar Fløystad, Dominique Manchon

Submodular functions defined on the power set of a finite set are in bijection with generalized permutahedra $\egp(z)$. To any such we define a class of preorders, {\it con…

math.CO2024

Noncrossing arithmetic

Kurusch Ebrahimi-Fard, Loïc Foissy, Joachim Kock +1

Higher-order notions of Kreweras complementation have appeared in the literature in the works of Krawczyk, Speicher, Mastnak, Nica, Arizmendi, Vargas, and others. While the theory…

math.CO2024

Simple Chopsticks: Playing with any number of hands and fingers

Antoine Dailly, Valentin Gledel, Richard J. Nowakowski +1

Chopsticks is a game played by two players where they start with one finger raised on each hand. On their turn, each player moves by pointing an attacking hand at one of their oppo…

math.CO2024★ 1 cited

The antipode of of a Com-PreLie Hopf algebra

Loïc Foissy

We study the compatibility between the antipode and the preLie product of a Com-PreLie Hopf algebra, that is to say a commutative Hopf algebra with a complementary preLie product,…

math.CO2024

The Fortuin-Kasteleyn polynomial as a bialgebra morphism and applications to the Tutte polynomial

Loïc Foissy, Claudia Malvenuto

We compute an explicit formula for the antipode of the double bialgebra of graphs in terms of totally acyclic partial orientations, using some general results on double bialgebras.…