Marc Hellmuth

Orcid: 0000-0002-1620-5508

Affiliations:
  • Ernst-Moritz-Arndt-Universität Greifswald, Germany
  • Saarland University, Center for Bioinformatics


According to our database1, Marc Hellmuth authored at least 99 papers between 2009 and 2025.

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Bibliography

2025
The complement of the Djoković-Winkler relation.
Discret. Math., 2025

2024
Resolving prime modules: The structure of pseudo-cographs and galled-tree explainable graphs.
Discret. Appl. Math., January, 2024

The weighted total cophenetic index: A novel balance index for phylogenetic networks.
Discret. Appl. Math., 2024

Nesting of Touching Polygons.
CoRR, 2024

Network Representation and Modular Decomposition of Combinatorial Structures: A Galled-Tree Perspective.
CoRR, 2024

REvolutionH-tl: Reconstruction of Evolutionary Histories tool.
Proceedings of the Comparative Genomics - 21st International Conference, 2024

Unique Least Common Ancestors and Clusters in Directed Acyclic Graphs.
Proceedings of the Algorithms and Discrete Applied Mathematics, 2024

2023
Relative timing information and orthology in evolutionary scenarios.
Algorithms Mol. Biol., December, 2023

Clustering systems of phylogenetic networks.
Theory Biosci., November, 2023

Orientation of Fitch Graphs and Reconciliation-Free Inference of Horizontal Gene Transfer in Gene Trees.
SIAM J. Discret. Math., September, 2023

Injective Split Systems.
Graphs Comb., August, 2023

Planar median graphs and cubesquare-graphs.
Discret. Appl. Math., May, 2023

Quasi-best match graphs.
Discret. Appl. Math., May, 2023

Best Match Graphs With Binary Trees.
IEEE ACM Trans. Comput. Biol. Bioinform., 2023

The Theory of Gene Family Histories.
CoRR, 2023

On a generalization of median graphs: k-median graphs.
CoRR, 2023

Fitch Graph Completion.
Proceedings of the Computing and Combinatorics - 29th International Conference, 2023

Linear Time Algorithms for NP-Hard Problems Restricted to GaTEx Graphs.
Proceedings of the Computing and Combinatorics - 29th International Conference, 2023

2022
Hierarchical and modularly-minimal vertex colorings.
Art Discret. Appl. Math., October, 2022

Construction of k-matchings in graph products.
Art Discret. Appl. Math., October, 2022

Generic Context-Aware Group Contributions.
IEEE ACM Trans. Comput. Biol. Bioinform., 2022

Compatibility of partitions with trees, hierarchies, and split systems.
Discret. Appl. Math., 2022

From modular decomposition trees to level-1 networks: Pseudo-cographs, polar-cats and prime polar-cats.
Discret. Appl. Math., 2022

From modular decomposition trees to rooted median graphs.
Discret. Appl. Math., 2022

Complete edge-colored permutation graphs.
Adv. Appl. Math., 2022

2021
Complexity of modification problems for best match graphs.
Theor. Comput. Sci., 2021

Least resolved trees for two-colored best match graphs.
J. Graph Algorithms Appl., 2021

Cayley Graphs of Semigroups Applied to Atom Tracking in Chemistry.
J. Comput. Biol., 2021

Generalized Fitch Graphs III: Symmetrized Fitch maps and Sets of Symmetric Binary Relations that are explained by Unrooted Edge-labeled Trees.
Discret. Math. Theor. Comput. Sci., 2021

Pseudo-Cographs, Polar-Cats and Level-1 Network Explainable Graphs.
CoRR, 2021

Orientation of Fitch Graphs and Detection of Horizontal Gene Transfer in Gene Trees.
CoRR, 2021

Construction of k-matchings and k-regular subgraphs in graph products.
CoRR, 2021

A Linear-Time Algorithm for the Common Refinement of Rooted Phylogenetic Trees on a Common Leaf Set.
CoRR, 2021

Compatibility of Partitions, Hierarchies, and Split Systems.
CoRR, 2021

A simpler linear-time algorithm for the common refinement of rooted phylogenetic trees on a common leaf set.
Algorithms Mol. Biol., 2021

Heuristic algorithms for best match graph editing.
Algorithms Mol. Biol., 2021

Arc-Completion of 2-Colored Best Match Graphs to Binary-Explainable Best Match Graphs.
Algorithms, 2021

Combining Orthology and Xenology Data in a Common Phylogenetic Tree.
Proceedings of the Advances in Bioinformatics and Computational Biology, 2021

2020
Complexity of modification problems for reciprocal best match graphs.
Theor. Comput. Sci., 2020

Generalized Fitch graphs II: Sets of binary relations that are explained by edge-labeled trees.
Discret. Appl. Math., 2020

Indirect Identification of Horizontal Gene Transfer.
CoRR, 2020

Complete Characterization of Incorrect Orthology Assignments in Best Match Graphs.
CoRR, 2020

From pairs of most similar sequences to phylogenetic best matches.
Algorithms Mol. Biol., 2020

Reconstruction of time-consistent species trees.
Algorithms Mol. Biol., 2020

Cograph editing: Merging modules is equivalent to editing P_4s.
Art Discret. Appl. Math., 2020

A Graph-Based Tool to Embed the π-Calculus into a Computational DPO Framework.
Proceedings of the SOFSEM 2020 Doctoral Student Research Forum co-located with the 46th International Conference on Current Trends in Theory and Practice of Computer Science (SOFSEM 2020), 2020

Atom Tracking Using Cayley Graphs.
Proceedings of the Bioinformatics Research and Applications - 16th International Symposium, 2020

2019
Generalized Fitch graphs: Edge-labeled graphs that are explained by edge-labeled trees.
Discret. Appl. Math., 2019

Generalized Fitch Relations II: Sets of Binary Relations that are explained by Edge-labeled Trees.
CoRR, 2019

Hierarchical Colorings of Cographs.
CoRR, 2019

Best Match Graphs and Reconciliation of Gene Trees with Species Trees.
CoRR, 2019

2018
On tree representations of relations and graphs: symbolic ultrametrics and cograph edge decompositions.
J. Comb. Optim., 2018

The matroid structure of representative triple sets and triple-closure computation.
Eur. J. Comb., 2018

Time-consistent reconciliation maps and forbidden time travel.
Algorithms Mol. Biol., 2018

A short note on undirected Fitch graphs.
Art Discret. Appl. Math., 2018

Partial Homology Relations - Satisfiability in Terms of Di-Cographs.
Proceedings of the Computing and Combinatorics - 24th International Conference, 2018

Linear Time Canonicalization and Enumeration of Non-Isomorphic 1-Face Embeddings.
Proceedings of the Twentieth Workshop on Algorithm Engineering and Experiments, 2018

2017
Phylogenomics with Paralogs.
CoRR, 2017

Reconstructing Gene Trees From Fitch's Xenology Relation.
CoRR, 2017

Partial Orthology, Paralogy and Xenology Relations - Satisfiability in terms of Di-Cographs.
CoRR, 2017

A Survey on Hypergraph Products (Erratum).
CoRR, 2017

Merging Modules is equivalent to Editing P4's.
CoRR, 2017

A Local Prime Factor Decomposition Algorithm for Strong Product Graphs.
CoRR, 2017

From event-labeled gene trees with horizontal gene transfer to species trees.
CoRR, 2017

Biologically feasible gene trees, reconciliation maps and informative triples.
Algorithms Mol. Biol., 2017

Forbidden Time Travel: Characterization of Time-Consistent Tree Reconciliation Maps.
Proceedings of the 17th International Workshop on Algorithms in Bioinformatics, 2017

2016
Fast factorization of Cartesian products of (directed) hypergraphs.
Theor. Comput. Sci., 2016

Associativity and Non-Associativity of Some Hypergraph Products.
Math. Comput. Sci., 2016

Construction of Gene and Species Trees from Sequence Data incl. Orthologs, Paralogs, and Xenologs.
CoRR, 2016

The Mathematics of Xenology: Di-cographs, Symbolic Ultrametrics, 2-structures and Tree-representable Systems of Binary Relations.
CoRR, 2016

Inference of Phylogenetic Trees from the Knowledge of Rare Evolutionary Events.
CoRR, 2016

2015
On the Cartesian skeleton and the factorization of the strong product of digraphs.
Theor. Comput. Sci., 2015

Spiders can be Recognized by Counting Their Legs.
Math. Comput. Sci., 2015

Fast Factorization of Cartesian products of Hypergraphs.
CoRR, 2015

Techniques for the Cograph Editing Problem: Module Merge is equivalent to Editing P4s.
CoRR, 2015

Fast recognition of partial star products and quasi cartesian products.
Ars Math. Contemp., 2015

The relaxed square property.
Australas. J Comb., 2015

On Symbolic Ultrametrics, Cotree Representations, and Cograph Edge Decompositions and Partitions.
Proceedings of the Computing and Combinatorics - 21st International Conference, 2015

2014
Unique square property, equitable partitions, and product-like graphs.
Discret. Math., 2014

Strong products of hypergraphs: Unique prime factorization theorems and algorithms.
Discret. Appl. Math., 2014

Simulation of gene family histories.
BMC Bioinform., 2014

Convex cycle bases.
Ars Math. Contemp., 2014

2013
Partial Star Products: A Local Covering Approach for the Recognition of Approximate Cartesian Product Graphs.
Math. Comput. Sci., 2013

On the complexity of recognizing S-composite and S-prime graphs.
Discret. Appl. Math., 2013

Square Property, Equitable Partitions, and Product-like Graphs
CoRR, 2013

2012
A Survey on Hypergraph Products.
Math. Comput. Sci., 2012

The Cartesian product of hypergraphs.
J. Graph Theory, 2012

Diagonalized Cartesian products of s-prime graphs are s-prime.
Discret. Math., 2012

From event-labeled gene trees to species trees.
BMC Bioinform., 2012

Minimum cycle bases of lexicographic products.
Ars Math. Contemp., 2012

2011
A local prime factor decomposition algorithm.
Discret. Math., 2011

2010
Local Prime Factor Decomposition of Approximate Strong Product Graphs: Local Prime Factor Decompositionof Approximate Strong Product Graphs
PhD thesis, 2010

Visualization of Graph Products.
IEEE Trans. Vis. Comput. Graph., 2010

2009
Local Algorithms for the Prime Factorization of Strong Product Graphs.
Math. Comput. Sci., 2009

Extended shapes for the combinatorial design of RNA sequences.
Int. J. Comput. Biol. Drug Des., 2009

Approximate graph products.
Eur. J. Comb., 2009

A note on quasi-robust cycle bases.
Ars Math. Contemp., 2009

On the Design of RNA Sequences for Realizing Extended Shapes.
Proceedings of the International Joint Conferences on Bioinformatics, 2009

Converting DNA to Music: ComposAlign.
Proceedings of the German Conference on Bioinformatics 2009, 2009


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