Operations Sentinel does not draw a connection line to the network to represent Operations Sentinel.  Instead, if the connection to Operations Sentinel is down or the system is unmonitored, the image representing the object is surrounded by the connection line (dashed for disconnected, dotted for unmonitored).  The color of the lines can be customized via the topology editor dialog in Department and Enterprise editions.

Likewise, Operations Sentinel does not draw a line to represent the connection between OS 2200 consoles and OS 2200 systems.  Instead, if the host connection is down, the image representing the console is surrounded by the connection line.  

A separate line is drawn between an object and its components (for example, an OS 2200 system and its consoles, or a server and its systems).  Operations Sentinel does not draw the line if they are in separate sections of the topology (implicit versus explicitly located).  

A site can customize the color and visibility of this line using the topology editor dialog in Department and Enterprise editions.