Finding the diameter of a tree with distance queries
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916974228930560 |
|---|---|
| author | Gerbner, Dániel Imolay, András Nagy, Kartal Patkós, Balázs Zólomy, Kristóf |
| author_facet | Gerbner, Dániel Imolay, András Nagy, Kartal Patkós, Balázs Zólomy, Kristóf |
| contents | We study the number of distance queries needed to identify certain properties of a hidden tree $T$ on $n$ vertices. A distance query consists of two vertices $x,y$, and the answer is the distance of $x$ and $y$ in $T$. We determine the number of queries an optimal adaptive algorithm needs to find two vertices of maximal distance up to an additive constant, and the number of queries needed to identify the hidden tree asymptotically. We also study the non-adaptive versions of these problems, determining the number of queries needed exactly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23326 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finding the diameter of a tree with distance queries Gerbner, Dániel Imolay, András Nagy, Kartal Patkós, Balázs Zólomy, Kristóf Data Structures and Algorithms Combinatorics We study the number of distance queries needed to identify certain properties of a hidden tree $T$ on $n$ vertices. A distance query consists of two vertices $x,y$, and the answer is the distance of $x$ and $y$ in $T$. We determine the number of queries an optimal adaptive algorithm needs to find two vertices of maximal distance up to an additive constant, and the number of queries needed to identify the hidden tree asymptotically. We also study the non-adaptive versions of these problems, determining the number of queries needed exactly. |
| title | Finding the diameter of a tree with distance queries |
| topic | Data Structures and Algorithms Combinatorics |
| url | https://arxiv.org/abs/2509.23326 |