diff --git a/src/core/functions/table/local_clustering_coefficient.cpp b/src/core/functions/table/local_clustering_coefficient.cpp
index 0addc55e..71c6850f 100644
--- a/src/core/functions/table/local_clustering_coefficient.cpp
+++ b/src/core/functions/table/local_clustering_coefficient.cpp
@@ -21,12 +21,12 @@ namespace core {
 // Main binding function
 unique_ptr<TableRef> LocalClusteringCoefficientFunction::LocalClusteringCoefficientBindReplace(ClientContext &context, TableFunctionBindInput &input) {
     auto pg_name = StringUtil::Lower(StringValue::Get(input.inputs[0]));
-    auto node_table = StringUtil::Lower(StringValue::Get(input.inputs[1]));
-    auto edge_table = StringUtil::Lower(StringValue::Get(input.inputs[2]));
+    auto node_label = StringUtil::Lower(StringValue::Get(input.inputs[1]));
+    auto edge_label = StringUtil::Lower(StringValue::Get(input.inputs[2]));
 
     auto duckpgq_state = GetDuckPGQState(context);
     auto pg_info = GetPropertyGraphInfo(duckpgq_state, pg_name);
-    auto edge_pg_entry = ValidateSourceNodeAndEdgeTable(pg_info, node_table, edge_table);
+    auto edge_pg_entry = ValidateSourceNodeAndEdgeTable(pg_info, node_label, edge_label);
 
     auto select_node = CreateSelectNode(edge_pg_entry, "local_clustering_coefficient", "local_clustering_coefficient");
 
diff --git a/src/core/utils/duckpgq_utils.cpp b/src/core/utils/duckpgq_utils.cpp
index 9e079186..8ac55889 100644
--- a/src/core/utils/duckpgq_utils.cpp
+++ b/src/core/utils/duckpgq_utils.cpp
@@ -32,17 +32,17 @@ CreatePropertyGraphInfo* GetPropertyGraphInfo(const shared_ptr<DuckPGQState> &du
 }
 
 // Function to validate the source node and edge table
-shared_ptr<PropertyGraphTable> ValidateSourceNodeAndEdgeTable(CreatePropertyGraphInfo *pg_info, const std::string &node_table, const std::string &edge_table) {
-  auto source_node_pg_entry = pg_info->GetTable(node_table, true, true);
+shared_ptr<PropertyGraphTable> ValidateSourceNodeAndEdgeTable(CreatePropertyGraphInfo *pg_info, const std::string &node_label, const std::string &edge_label) {
+  auto source_node_pg_entry = pg_info->GetTable(node_label, true, true);
   if (!source_node_pg_entry->is_vertex_table) {
-    throw Exception(ExceptionType::INVALID, node_table + " is an edge table, expected a vertex table");
+    throw Exception(ExceptionType::INVALID, node_label + " is an edge table, expected a vertex table");
   }
-  auto edge_pg_entry = pg_info->GetTable(edge_table, true, false);
+  auto edge_pg_entry = pg_info->GetTable(edge_label, true, false);
   if (edge_pg_entry->is_vertex_table) {
-    throw Exception(ExceptionType::INVALID, edge_table + " is a vertex table, expected an edge table");
+    throw Exception(ExceptionType::INVALID, edge_label + " is a vertex table, expected an edge table");
   }
-  if (!edge_pg_entry->IsSourceTable(node_table)) {
-    throw Exception(ExceptionType::INVALID, "Vertex table " + node_table + " is not a source of edge table " + edge_table);
+  if (!edge_pg_entry->IsSourceTable(source_node_pg_entry->table_name)) {
+    throw Exception(ExceptionType::INVALID, "Vertex table " + node_label + " is not a source of edge table " + edge_label);
   }
   return edge_pg_entry;
 }
diff --git a/test/sql/label_optional.test b/test/sql/label_optional.test
index c839b813..2448b5fa 100644
--- a/test/sql/label_optional.test
+++ b/test/sql/label_optional.test
@@ -4,6 +4,43 @@
 
 require duckpgq
 
+# Test with a different number of vertices and edges
+statement ok
+CREATE TABLE VariedStudent(id BIGINT, name VARCHAR);INSERT INTO VariedStudent VALUES (0, 'Alice'), (1, 'Bob'), (2, 'Charlie'), (3, 'Dave'), (4, 'Eve'), (5, 'Frank');
+
+statement ok
+CREATE TABLE VariedKnow(src BIGINT, dst BIGINT);INSERT INTO VariedKnow VALUES (0,1), (0,2), (0,3), (1,2), (2,3), (3,4), (4,5);
+
+statement ok
+-CREATE PROPERTY GRAPH varied_pg_label_a
+VERTEX TABLES (
+    VariedStudent label a
+    )
+EDGE TABLES (
+    VariedKnow    SOURCE KEY ( src ) REFERENCES VariedStudent ( id )
+            DESTINATION KEY ( dst ) REFERENCES VariedStudent ( id )
+    );
+
+
+query II
+select id, local_clustering_coefficient from local_clustering_coefficient(varied_pg_label_a, a, variedknow);
+----
+0	0.6666667
+1	1.0
+2	0.6666667
+3	0.33333334
+4	0.0
+5	0.0
+
+statement ok
+select * from pagerank(varied_pg_label_a, a, variedknow);
+
+statement error
+select id, local_clustering_coefficient from local_clustering_coefficient(varied_pg_label_a, variedStudent, variedknow);
+----
+Invalid Error: Label 'variedstudent' not found. Did you mean the vertex label 'a'?
+
+
 statement ok
 import database 'duckdb/data/SNB0.003';