Which constitutional amendment is not violated by cell searches?

Cell searches in a correctional facility do not violate the Fourth Amendment because this amendment protects individuals against unreasonable searches and seizures, but it provides limited protections for inmates. In the context of a correctional institution, inmates have a reduced expectation of privacy due to the nature of their confinement. Courts have generally ruled that prison officials have the right to search cells without a warrant or probable cause as a necessary measure for maintaining security and order within the facility.

The other amendments mentioned offer protections that typically apply to broader contexts of personal liberty and privacy, but in a prison setting, the rights of inmates are significantly curtailed for the purpose of institutional safety and security. Thus, the Fourth Amendment's considerations around searches and seizures are interpreted differently in the context of custodial settings, allowing for cell searches without constituting a violation.