Search Results for author: Remie Janssen

Found 4 papers, 1 papers with code

Comparing the topology of phylogenetic network generators

no code implementations12 Jun 2021 Remie Janssen, Pengyu Liu

Phylogenetic networks represent evolutionary history of species and can record natural reticulate evolutionary processes such as horizontal gene transfer and gene recombination.

Connectedness of Unit Distance Subgraphs Induced by Closed Convex Sets

no code implementations25 Feb 2021 Remie Janssen, Leonie van Steijn

The unit distance graph $G_{\mathbb{R}^d}^1$ is the infinite graph whose nodes are points in $\mathbb{R}^d$, with an edge between two points if the Euclidean distance between these points is 1.

Combinatorics Metric Geometry 05C10, 05C40, 05C12, 05C63, 52A99

Level-$2$ networks from shortest and longest distances

no code implementations21 Jan 2021 Katharina T. Huber, Leo van Iersel, Remie Janssen, Mark Jones, Vincent Moulton, Yukihiro Murakami

In this paper, we show that they can be reconstructed from their induced shortest and longest distance matrices.

Combinatorics

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