2021/01/21 by Katharina T. Huber, Leo van Iersel, Huber, Katharina T. +9
Biochemistry, Genetics and Molecular Biology · #Bioinformatics and Genomic Networks #Combinatorics (math.CO) #FOS: Mathematics #Genome Rearrangement Algorithms #Genomics and Phylogenetic Studies
paper · pdf · doi:10.48550/arxiv.2101.08580
openalex publication_date 2021/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently it was shown that a certain class of phylogenetic networks, called level-2 networks, cannot be reconstructed from their associated distance matrices. In this paper, we show that they can be reconstructed from their induced shortest and longest distance matrices. That is, if two level-2 networks induce the same shortest and longest distance matrices, then they must be isomorphic. We further show that level-2 networks are reconstructible from their shortest distance matrices if and only if they do not contain a subgraph from a family of graphs. A generator of a network is the graph obtained by deleting all pendant subtrees and suppressing degree-2 vertices. We also show that networks with a leaf on every generator side is reconstructible from their induced shortest distance matrix, regardless of level.