| Naslov: | Perfect phylogenies via the minimum uncovering branching problem : efficiently solvable cases |
|---|
| Avtorji: | ID Baghirova, Narmina (Avtor)
ID Galby, Esther (Avtor)
ID Milanič, Martin (Avtor) |
|---|
| Datoteke: |  RAZ_Baghirova_Narmina_2025.pdf (793,74 KB)
MD5: 89F43B43A1953AF28E8231F96CB5235A
 https://ieeexplore.ieee.org/document/11037632
|
|---|
| Jezik: | Angleški jezik |
|---|
| Vrsta gradiva: | Članek v reviji |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: | IAM - Inštitut Andrej Marušič
|
|---|
| Opis: | In this paper, we present new efficiently solvable cases of the Minimum Uncovering Branching problem, an optimization problem with applications in cancer genomics introduced by Hujdurovi´c, Husi´c, Milaniˇc, Rizzi, and Tomescu in 2018. The problem involves a family of finite sets, and the goal is to map each non-maximal set to exactly one set that contains it, minimizing the sum of uncovered elements across all sets in the family. Hujdurovi´c et al. formulated the problem in terms of branchings of the digraph formed by the proper set inclusion relation on the input sets and studied the problem complexity based on properties of the corresponding partially ordered set, in particular, with respect to its height and width, defined respectively as the maximum cardinality of a chain and an antichain. They showed that the problem is APX-complete for instances of bounded height and that a constant-factor approximation algorithm exists for instances of bounded width, but left the exact complexity for bounded-width instances open. In this paper, we answer this question by proving that the problem is solvable in polynomial time. We derive this result by examining the structural properties of optimal solutions and reducing the problem to computing maximum matchings in bipartite graphs and maximum weight antichains in partially ordered sets. We also introduce a new polynomially computable lower bound and identify another condition for polynomial-time solvability. |
|---|
| Ključne besede: | perfect phylogeny, branching, partially ordered set, antichain, width |
|---|
| Leto izida: | 2025 |
|---|
| Št. strani: | str. 2043-2056 |
|---|
| Številčenje: | Vol. 22, iss. 5 |
|---|
| PID: | 20.500.12556/RUP-21902  |
|---|
| UDK: | 519.179.1 |
|---|
| ISSN pri članku: | 2998-4165 |
|---|
| DOI: | 10.1109/TCBBIO.2025.3580476 |
|---|
| COBISS.SI-ID: | 252020739 |
|---|
| Datum objave v RUP: | 13.10.2025 |
|---|
| Število ogledov: | 258 |
|---|
| Število prenosov: | 3 |
|---|
| Metapodatki: |    |
|---|
|
:
|
Kopiraj citat |
|---|
| | | | Skupna ocena: | (0 glasov) |
|---|
| Vaša ocena: | Ocenjevanje je dovoljeno samo prijavljenim uporabnikom. |
|---|
| Objavi na: |  |
|---|
Postavite miškin kazalec na naslov za izpis povzetka. Klik na naslov izpiše
podrobnosti ali sproži prenos. |
