Difference between Routing Group Master and Bridgehead server

I was hoping someone could clear up some confusion regarding routing group terms.

So far, I have been thinking a routing group master (RGM) holds the LINK STATE data for all the servers in the routing group and replicates with other RGM's.

A Bridghead server (BH) is responsible for sending the mail across RG's to other BH servers.

Am I correct?

In ESM, I can see which is an RGM by looking at all the servers in a routing group - the RGM is identified, but how can I find out what server is a BH server?
Hope someone can help..
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When you create a routing group, the first server in that routing group is assigned the role of routing group master. The routing group master maintains current link state information for its routing group and propagates it to the other servers within the routing group. The routing group master monitors the routing configuration that is written in Active Directory for its routing group only. Member servers can communicate any connector state or server availability information to the routing group master. For example, if a member server tries to contact another server in a different routing group over a connector, and this link is unavailable, the member server immediately notifies the routing group master. Likewise, when a non-master server receives new link state information, it immediately transfers the connector state information to the routing group master, so that other servers can receive the information about the routing change.

a bridgehead server is designated for a given connection.  look at the properties of a connection and it will show you who the local and remote bridgehead server is.

hope this helps.

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