On the Quasi-Total Roman Domination Number of Graphs

Domination theory is a well-established topic in graph theory, as well one of the most active research areas. Interest this area partly explained by its diversity applications to real-world problems, such facility location computer and social networks, monitoring communication, coding algorithm design, among others. In last two decades, functions defined on graphs have attracted attention several researchers. The Roman-dominating their variants are main attractions. This paper contribution Roman domination graphs. particular, we provide some interesting properties relationships between variants: quasi-total