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19942023
most citedPhylogenomics with Paralogs

112 citations · 423 across the 60 of their papers we have counts for

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17 papers · 1 filter

math.CO2021

Planar Median Graphs and Cubesquare-Graphs

Carsten R. Seemann, Vincent Moulton, Peter F. Stadler +1

Median graphs are connected graphs in which for all three vertices there is a unique vertex that belongs to shortest paths between each pair of these three vertices. In this paper…

math.CO2021

Quasi-Best Match Graphs

Annachiara Korchmaros, David Schaller, Marc Hellmuth +1

Quasi-best match graphs (qBMGs) are a hereditary class of directed, properly vertex-colored graphs. They arise naturally in mathematical phylogenetics as a generalization of best m…

math.CO2021

Combining Orthology and Xenology Data in a Common Phylogenetic Tree

Marc Hellmuth, Mira Michel, Nikolai N. Nøjgaard +2

A rooted tree with vertex labels and set-valued edge labels defines maps and on the pairs of leaves of by setting if the last com…

math.CO2021

From Modular Decomposition Trees to Rooted Median Graphs

Carmen Bruckmann, Peter F. Stadler, Marc Hellmuth

The modular decomposition of a symmetric map (or, equivalently, a set of symmetric binary relations, a 2-structure, or an edge-colored undirected graph) i…

math.CO2021

Heuristic Algorithms for Best Match Graph Editing

David Schaller, Manuela Geiß, Marc Hellmuth +1

Best match graphs (BMGs) are a class of colored digraphs that naturally appear in mathematical phylogenetics and can be approximated with the help of similarity measures between ge…

math.CO2020

Exact--Relation Graphs

Yangjing Long, Peter F. Stadler

Pairwise compatibility graphs (PCGs) with non-negative integer edge weights recently have been used to describe rare evolutionary events and scenarios with horizontal gene transfer…