Autor:	Lin, Min-Sheng
Rok vydání:	2022
Předmět:	Computer Science - Discrete Mathematics 05C30 F.2.2
Druh dokumentu:	Working Paper
Popis:	A dominating set of a graph is a set of vertices such that every vertex not in the set has at least one neighbor in the set. The problem of counting dominating sets is #P-complete for chordal graphs but solvable in polynomial time for its subclass of interval graphs. The complexity status of the corresponding problem is still undetermined for directed path graphs, which are a well-known class of graphs that falls between chordal graphs and interval graphs. This paper reveals that the problem of counting dominating sets remains #P-complete for directed path graphs but a stricter constraint to rooted directed path graphs admits a polynomial-time solution. Comment: 9 pages and 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.00463 Zobrazit plný text záznamu View this record from Arxiv