Autor:	Baste, Julien
Rok vydání:	2023
Předmět:	Computer Science - Data Structures and Algorithms
Druh dokumentu:	Working Paper
Popis:	In the Fully Leafed Induced Subtrees, one is given a graph $G$ and two integers $a$ and $b$ and the question is to find an induced subtree of $G$ with $a$ vertices and at least $b$ leaves. This problem is known to be NP-complete even when the input graph is $4$-regular. Polynomial algorithms are known when the input graph is restricted to be a tree or series-parallel. In this paper we generalize these results by providing an FPT algorithm parameterized by treewidth. We also provide a polynomial algorithm when the input graph is restricted to be a chordal graph. Comment: arXiv admin note: substantial text overlap with arXiv:1704.07284, arXiv:2103.06536
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.12783 Zobrazit plný text záznamu View this record from Arxiv