diff --git a/cpp/src/api/convert.cpp b/cpp/src/api/convert.cpp
index a4f34b07..1d40da1b 100644
--- a/cpp/src/api/convert.cpp
+++ b/cpp/src/api/convert.cpp
@@ -2,6 +2,41 @@
 
 #include "api/exception/exception.h"
 
+namespace {
+std::optional<loot::EdgeType> convert(loot::rust::EdgeType edgeType) {
+  switch (edgeType) {
+    case loot::rust::EdgeType::Hardcoded:
+      return loot::EdgeType::hardcoded;
+    case loot::rust::EdgeType::MasterFlag:
+      return loot::EdgeType::masterFlag;
+    case loot::rust::EdgeType::Master:
+      return loot::EdgeType::master;
+    case loot::rust::EdgeType::MasterlistRequirement:
+      return loot::EdgeType::masterlistRequirement;
+    case loot::rust::EdgeType::UserRequirement:
+      return loot::EdgeType::userRequirement;
+    case loot::rust::EdgeType::MasterlistLoadAfter:
+      return loot::EdgeType::masterlistLoadAfter;
+    case loot::rust::EdgeType::UserLoadAfter:
+      return loot::EdgeType::userLoadAfter;
+    case loot::rust::EdgeType::MasterlistGroup:
+      return loot::EdgeType::masterlistGroup;
+    case loot::rust::EdgeType::UserGroup:
+      return loot::EdgeType::userGroup;
+    case loot::rust::EdgeType::RecordOverlap:
+      return loot::EdgeType::recordOverlap;
+    case loot::rust::EdgeType::AssetOverlap:
+      return loot::EdgeType::assetOverlap;
+    case loot::rust::EdgeType::TieBreak:
+      return loot::EdgeType::tieBreak;
+    case loot::rust::EdgeType::BlueprintMaster:
+      return loot::EdgeType::blueprintMaster;
+    default:
+      return std::nullopt;
+  }
+}
+}
+
 namespace loot {
 // To public types
 /////////////////////
@@ -93,42 +128,9 @@ loot::PluginMetadata convert(const loot::rust::PluginMetadata& metadata) {
   return output;
 }
 
-std::optional<loot::EdgeType> convert(uint8_t edgeType) {
-  switch (edgeType) {
-    case static_cast<uint8_t>(loot::rust::EdgeType::Hardcoded):
-      return loot::EdgeType::hardcoded;
-    case static_cast<uint8_t>(loot::rust::EdgeType::MasterFlag):
-      return loot::EdgeType::masterFlag;
-    case static_cast<uint8_t>(loot::rust::EdgeType::Master):
-      return loot::EdgeType::master;
-    case static_cast<uint8_t>(loot::rust::EdgeType::MasterlistRequirement):
-      return loot::EdgeType::masterlistRequirement;
-    case static_cast<uint8_t>(loot::rust::EdgeType::UserRequirement):
-      return loot::EdgeType::userRequirement;
-    case static_cast<uint8_t>(loot::rust::EdgeType::MasterlistLoadAfter):
-      return loot::EdgeType::masterlistLoadAfter;
-    case static_cast<uint8_t>(loot::rust::EdgeType::UserLoadAfter):
-      return loot::EdgeType::userLoadAfter;
-    case static_cast<uint8_t>(loot::rust::EdgeType::MasterlistGroup):
-      return loot::EdgeType::masterlistGroup;
-    case static_cast<uint8_t>(loot::rust::EdgeType::UserGroup):
-      return loot::EdgeType::userGroup;
-    case static_cast<uint8_t>(loot::rust::EdgeType::RecordOverlap):
-      return loot::EdgeType::recordOverlap;
-    case static_cast<uint8_t>(loot::rust::EdgeType::AssetOverlap):
-      return loot::EdgeType::assetOverlap;
-    case static_cast<uint8_t>(loot::rust::EdgeType::TieBreak):
-      return loot::EdgeType::tieBreak;
-    case static_cast<uint8_t>(loot::rust::EdgeType::BlueprintMaster):
-      return loot::EdgeType::blueprintMaster;
-    default:
-      return std::nullopt;
-  }
-}
-
 loot::Vertex convert(const loot::rust::Vertex& vertex) {
   try {
-    const auto outEdgeType = convert(vertex.out_edge_type());
+    const auto outEdgeType = ::convert(vertex.out_edge_type());
     if (outEdgeType.has_value()) {
       return loot::Vertex(convert(vertex.name()), outEdgeType.value());
     } else {
diff --git a/cpp/src/database.rs b/cpp/src/database.rs
index 945dbec9..8c9188c5 100644
--- a/cpp/src/database.rs
+++ b/cpp/src/database.rs
@@ -220,24 +220,25 @@ impl Database {
 #[repr(transparent)]
 pub struct Vertex(libloot::Vertex);
 
-pub fn new_vertex(name: String) -> Box<Vertex> {
-    Box::new(Vertex(libloot::Vertex::new(name)))
+pub fn new_vertex(name: String, out_edge_type: EdgeType) -> Result<Box<Vertex>, VerboseError> {
+    let mut vertex = libloot::Vertex::new(name);
+
+    if out_edge_type != EdgeType::None {
+        vertex = vertex.with_out_edge_type(out_edge_type.try_into()?);
+    }
+
+    Ok(Box::new(Vertex(vertex)))
 }
 
 impl Vertex {
     // A value of 255 is used to indicate that there is no out edge.
-    pub fn out_edge_type(&self) -> Result<u8, VerboseError> {
+    pub fn out_edge_type(&self) -> Result<EdgeType, VerboseError> {
         match self.0.out_edge_type() {
-            Some(e) => Ok(EdgeType::try_from(e)?.repr),
-            None => Ok(u8::MAX),
+            Some(e) => EdgeType::try_from(e).map_err(Into::into),
+            None => Ok(EdgeType::None),
         }
     }
 
-    pub fn set_out_edge_type(&mut self, out_edge_type: EdgeType) -> Result<(), VerboseError> {
-        self.0.set_out_edge_type(out_edge_type.try_into()?);
-        Ok(())
-    }
-
     pub fn boxed_clone(&self) -> Box<Self> {
         Box::new(Self(self.0.clone()))
     }
diff --git a/cpp/src/lib.rs b/cpp/src/lib.rs
index 6d33bcb4..b975408b 100644
--- a/cpp/src/lib.rs
+++ b/cpp/src/lib.rs
@@ -238,6 +238,7 @@ mod ffi {
     }
 
     pub enum EdgeType {
+        None,
         Hardcoded,
         MasterFlag,
         Master,
@@ -512,13 +513,11 @@ mod ffi {
     extern "Rust" {
         type Vertex;
 
-        pub fn new_vertex(name: String) -> Box<Vertex>;
+        pub fn new_vertex(name: String, out_edge_type: EdgeType) -> Result<Box<Vertex>>;
 
         pub fn name(&self) -> &str;
 
-        pub fn out_edge_type(&self) -> Result<u8>;
-
-        pub fn set_out_edge_type(&mut self, #[into] out_edge_type: EdgeType) -> Result<()>;
+        pub fn out_edge_type(&self) -> Result<EdgeType>;
 
         pub fn boxed_clone(&self) -> Box<Vertex>;
     }
diff --git a/nodejs/src/database.rs b/nodejs/src/database.rs
index 86854e8d..71c8975d 100644
--- a/nodejs/src/database.rs
+++ b/nodejs/src/database.rs
@@ -241,8 +241,14 @@ pub struct Vertex(libloot::Vertex);
 #[napi]
 impl Vertex {
     #[napi(constructor)]
-    pub fn new(name: String) -> Self {
-        Self(libloot::Vertex::new(name))
+    pub fn new(name: String, out_edge_type: Option<EdgeType>) -> Self {
+        let mut vertex = libloot::Vertex::new(name);
+
+        if let Some(out_edge_type) = out_edge_type {
+            vertex = vertex.with_out_edge_type(out_edge_type.into());
+        }
+
+        Self(vertex)
     }
 
     #[napi(getter)]
@@ -257,12 +263,6 @@ impl Vertex {
             .map(|e| e.try_into().map_err(Into::into))
             .transpose()
     }
-
-    #[napi(setter)]
-    pub fn set_out_edge_type(&mut self, out_edge_type: EdgeType) {
-        let out_edge_type = out_edge_type.into();
-        self.0.set_out_edge_type(out_edge_type);
-    }
 }
 
 impl From<libloot::Vertex> for Vertex {
diff --git a/python/src/database.rs b/python/src/database.rs
index 2bd7d8a9..35331f1e 100644
--- a/python/src/database.rs
+++ b/python/src/database.rs
@@ -1,5 +1,4 @@
 use std::{
-    hash::{DefaultHasher, Hash, Hasher},
     path::PathBuf,
     sync::{Arc, RwLock},
 };
@@ -225,7 +224,7 @@ impl From<Arc<RwLock<libloot::Database>>> for Database {
     }
 }
 
-#[pyclass(eq, ord, str = "{0:?}")]
+#[pyclass(eq, ord, frozen, hash, str = "{0:?}")]
 #[derive(Clone, Debug, Default, Eq, PartialEq, Ord, PartialOrd, Hash)]
 #[repr(transparent)]
 pub struct Vertex(libloot::Vertex);
@@ -250,13 +249,6 @@ impl Vertex {
             .transpose()
     }
 
-    #[setter]
-    fn set_out_edge_type(&mut self, out_edge_type: EdgeType) -> Result<(), VerboseError> {
-        let out_edge_type = out_edge_type.try_into()?;
-        self.0.set_out_edge_type(out_edge_type);
-        Ok(())
-    }
-
     fn __repr__(slf: &Bound<'_, Self>) -> PyResult<String> {
         let class_name = slf.get_type().qualname()?;
         let inner = &slf.borrow().0;
@@ -267,12 +259,6 @@ impl Vertex {
             inner.out_edge_type().map_or(NONE_REPR, repr_edge_type),
         ))
     }
-
-    fn __hash__(&self) -> u64 {
-        let mut hasher = DefaultHasher::new();
-        self.0.hash(&mut hasher);
-        hasher.finish()
-    }
 }
 
 impl From<libloot::Vertex> for Vertex {
diff --git a/src/sorting/vertex.rs b/src/sorting/vertex.rs
index 0b96ae33..0c4b8f38 100644
--- a/src/sorting/vertex.rs
+++ b/src/sorting/vertex.rs
@@ -59,7 +59,7 @@ impl Vertex {
     /// Set the type of the edge going from this vertex to the next in the path.
     #[must_use]
     pub fn with_out_edge_type(mut self, out_edge_type: EdgeType) -> Self {
-        self.set_out_edge_type(out_edge_type);
+        self.out_edge_type = Some(out_edge_type);
         self
     }
 
@@ -72,10 +72,4 @@ impl Vertex {
     pub fn out_edge_type(&self) -> Option<EdgeType> {
         self.out_edge_type
     }
-
-    /// Set the type of the edge going from this vertex to the next in the path.
-    pub fn set_out_edge_type(&mut self, out_edge_type: EdgeType) -> &mut Self {
-        self.out_edge_type = Some(out_edge_type);
-        self
-    }
 }