On the zero forcing number of generalized Sierpinski graphs

Autor: Ebrahim Vatandoost, Fatemeh Ramezani, Saeid Alikhani
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Transactions on Combinatorics, Vol 8, Iss 1, Pp 41-50 (2019)
Druh dokumentu: article
ISSN: 2251-8657
2251-8665
DOI: 10.22108/toc.2018.101107.1463
Popis: In this article we study the Zero forcing number of Generalized Sierpi\'{n}ski graphs $S(G,t)$‎. ‎More precisely‎, ‎we obtain a general lower bound on the Zero forcing number of $S(G,t)$ and we show that this bound is tight‎. ‎In particular‎, ‎we consider the cases in which the base graph $G$ is a star‎, ‎path‎, ‎a cycle or a complete graph‎.
Databáze: Directory of Open Access Journals