diff --git a/birdvisu/topo_v3.py b/birdvisu/topo_v3.py
index 5f3d833..add1604 100644
--- a/birdvisu/topo_v3.py
+++ b/birdvisu/topo_v3.py
@@ -173,7 +173,7 @@ class VertexID:
 	# enumeration, but socket does, so we use that (AF_INET, AF_INET6). Routers
 	# can omit the family, since the router ID is family-agnostic, and it also
 	# could be unknown for transit networks.
-	family: AddressFamily
+	family: AddressFamily | None
 
 	# We do _not_ use NodeType, because what is an extra-area network in one
 	# topology might become a transit network in another. So we only distinguish routers and networks.
@@ -183,7 +183,7 @@ class VertexID:
 	# include all the possible elements here and set them to None when not
 	# applicable.
 	
-	address: IPv4Network | IPv6Network | None
+	address: IPv4Network | IPv6Network | tuple[IPv4Network | IPv6Network] | None
 	router_id: int | None
 	# For discriminating networks
 	dr_id: int | None
@@ -257,7 +257,7 @@ class VertexFinder:
 
 		# All of the following dictionaries have scalars as keys and sets of VertexIDs as value.
 		# If there were multiple addresses, they were added individually.
-		self.by_addr: dict[IPv4Network | IPv6Network, set[VertexID]] = defaultdict(lambda: set())
+		self.by_addr: dict[IPv4Network | IPv6Network | None, set[VertexID]] = defaultdict(lambda: set())
 		self.by_rid = defaultdict(lambda: set())
 		self.by_dr = defaultdict(lambda: set())
 		self.by_discriminator = defaultdict(lambda: set())