Trees with at least $6\ell+11$ vertices are $\ell$-reconstructible

Autor: Kostochka, Alexandr V., Nahvi, Mina, West, Douglas B., Zirlin, Dara
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: The $(n-\ell)$-deck of an $n$-vertex graph is the multiset of (unlabeled) subgraphs obtained from it by deleting $\ell$ vertices. An $n$-vertex graph is $\ell$-reconstructible if it is determined by its $(n-\ell)$-deck, meaning that no other graph has the same deck. We prove that every tree with at least $6\ell+11$ vertices is $\ell$-reconstructible.
Databáze: arXiv