Final answer:
The employer-employee relationship in hospitality is referred to as the Master-Servant Relationship, where the employer controls the employee's work.
Step-by-step explanation:
The type of relationship in hospitality which is known as the employer-employee relationship is also called the Master-Servant Relationship. This term is used in a legal context to describe a situation where an employer (the master) has the right to control the work of the employee (the servant). It's important to note that this term is somewhat outdated and may carry different connotations in modern use; however, it persists in legal discussions to delineate the specific rights and responsibilities that exist between an employer and an employee.