Which security solution uses execution control to determine what additional software or scripts an administrator may install or run on a Linux host?

The correct answer is SELinux, which stands for Security-Enhanced Linux. This security solution utilizes execution control mechanisms that enforce mandatory access control (MAC) policies on Linux systems. With SELinux, each application, process, or user is assigned specific security contexts that determine the permissions and access rights. This allows administrators to define what additional software or scripts can be executed, greatly enhancing the system's security posture by restricting unauthorized actions.

By employing a set of predefined policies, SELinux ensures that even if a user has root privileges, they are still limited to what is permissible by the security policies in place. This capability is particularly useful in protecting the system from vulnerabilities that may arise from unapproved installations or program executions.

The other options do not have the same focus on execution control and mandatory access control consistent with SELinux. For example, AppArmor is another Linux security module but uses a different method based on profiles tied to specific applications rather than system-wide policies. SEAndroid is specific to Android systems and does not apply to general Linux hosts. Tombstone, which is associated with Android, does not pertain to execution control or software installation on Linux.