Approximation Ratio of the Min-Degree Greedy Algorithm for Maximum Independent Set on Interval and Chordal Graphs

Autor:	Chaplick, Steven, Frohn, Martin, Kelk, Steven, Lottermoser, Johann, Mihalak, Matus
Rok vydání:	2024
Předmět:	Computer Science - Data Structures and Algorithms
Druh dokumentu:	Working Paper
Popis:	In this article we prove that the minimum-degree greedy algorithm, with adversarial tie-breaking, is a $(2/3)$-approximation for the Maximum Independent Set problem on interval graphs. We show that this is tight, even on unit interval graphs of maximum degree 3. We show that on chordal graphs, the greedy algorithm is a $(1/2)$-approximation and that this is again tight. These results contrast with the known (tight) approximation ratio of $\frac{3}{\Delta+2}$ of the greedy algorithm for general graphs of maximum degree $\Delta$. Comment: 11 pages, 2 figures, submitted to journal
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.10868 Zobrazit plný text záznamu View this record from Arxiv