An example method is provided and includes executing an intermediate system to intermediate system (IS-IS) protocol for a first set of network links in a network. The method also includes executing a spanning tree protocol (STP) for a second set of network links, and generating a network topology that includes using a broadcast tree system identifier (ID) as a root bridge ID for the network. The method further includes communicating the root bridge ID to a neighboring network element. In more specific examples, an STP block is communicated to a redundant link, which connects a first switch and a second switch. The first and second switches can converge on the network topology using the broadcast tree system ID.