diff --git a/stix2/environment.py b/stix2/environment.py
index c58fa15c..09d7ed58 100644
--- a/stix2/environment.py
+++ b/stix2/environment.py
@@ -198,7 +198,7 @@ def creator_of(self, obj):
 
     @staticmethod
     def semantically_equivalent(obj1, obj2, prop_scores={}, **weight_dict):
-        """This method is meant to verify if two objects of the same type are
+        """This method verifies if two objects of the same type are
         semantically equivalent.
 
         Args:
@@ -214,9 +214,10 @@ def semantically_equivalent(obj1, obj2, prop_scores={}, **weight_dict):
 
         Warning:
             Object types need to have property weights defined for the equivalence process.
-            Otherwise, those objects will not influence the final score. Use the WEIGHTS
-            dictionary under `stix2.equivalence.object` to add new entries. Similarly,
-            the values or methods can be fine tuned for a particular use case.
+            Otherwise, those objects will not influence the final score. The WEIGHTS
+            dictionary under `stix2.equivalence.object` can give you an idea on how to add
+            new entries and pass them via the `weight_dict` argument. Similarly, the values
+            or methods can be fine tuned for a particular use case.
 
         Note:
             Default weights_dict:
@@ -232,8 +233,11 @@ def semantically_equivalent(obj1, obj2, prop_scores={}, **weight_dict):
 
     @staticmethod
     def graphically_equivalent(ds1, ds2, prop_scores={}, **weight_dict):
-        """This method is meant to verify if two graphs are semantically
-        equivalent.
+        """This method verifies if two graphs are semantically equivalent.
+        Each DataStore can contain a connected or disconnected graph and the
+        final result is weighted over the amount of objects we managed to compare.
+        This approach builds on top of the object-based semantic equivalence process
+        and each comparison can return a value between 0 and 100.
 
         Args:
             ds1: A DataStore object instance representing your graph
@@ -248,15 +252,19 @@ def graphically_equivalent(ds1, ds2, prop_scores={}, **weight_dict):
 
         Warning:
             Object types need to have property weights defined for the equivalence process.
-            Otherwise, those objects will not influence the final score. Use the WEIGHTS
-            dictionary under `stix2.equivalence.graph` to add new entries. Similarly,
-            the values or methods can be fine tuned for a particular use case.
-            Graph equivalence has additional entries and methods defined.
+            Otherwise, those objects will not influence the final score. The WEIGHTS
+            dictionary under `stix2.equivalence.graph` can give you an idea on how to add
+            new entries and pass them via the `weight_dict` argument. Similarly, the values
+            or methods can be fine tuned for a particular use case.
 
         Note:
             Default weights_dict:
 
             .. include:: ../default_sem_eq_weights.rst
 
+        Note:
+            This implementation follows the Semantic Equivalence Committee Note.
+            see `the Committee Note <link here>`__.
+
         """
         return graphically_equivalent(ds1, ds2, prop_scores, **weight_dict)
diff --git a/stix2/equivalence/graph/__init__.py b/stix2/equivalence/graph/__init__.py
index 73cf81ae..4f66e5e8 100644
--- a/stix2/equivalence/graph/__init__.py
+++ b/stix2/equivalence/graph/__init__.py
@@ -1,18 +1,19 @@
 import logging
 
 from ..object import (
-    custom_pattern_based, exact_match, list_reference_check,
-    partial_external_reference_based, partial_list_based,
-    partial_location_distance, partial_string_based, partial_timestamp_based,
-    reference_check, semantically_equivalent,
+    WEIGHTS, exact_match, list_reference_check, partial_string_based,
+    partial_timestamp_based, reference_check, semantically_equivalent,
 )
 
 logger = logging.getLogger(__name__)
 
 
 def graphically_equivalent(ds1, ds2, prop_scores={}, **weight_dict):
-    """This method is meant to verify if two graphs are semantically
-    equivalent.
+    """This method verifies if two graphs are semantically equivalent.
+    Each DataStore can contain a connected or disconnected graph and the
+    final result is weighted over the amount of objects we managed to compare.
+    This approach builds on top of the object-based semantic equivalence process
+    and each comparison can return a value between 0 and 100.
 
     Args:
         ds1: A DataStore object instance representing your graph
@@ -26,17 +27,21 @@ def graphically_equivalent(ds1, ds2, prop_scores={}, **weight_dict):
         float: A number between 0.0 and 100.0 as a measurement of equivalence.
 
     Warning:
-        Some object types do not have an entry for use in the equivalence process.
-        In order for those objects to influence the final score a new entry needs to
-        be defined in the WEIGHTS dictionary. Similarly, the values can be fine tuned
-        for a particular use case. Graph equivalence has additional entries. The
-        complete graph is needed for the two graphs that are being checked.
+        Object types need to have property weights defined for the equivalence process.
+        Otherwise, those objects will not influence the final score. The WEIGHTS
+        dictionary under `stix2.equivalence.graph` can give you an idea on how to add
+        new entries and pass them via the `weight_dict` argument. Similarly, the values
+        or methods can be fine tuned for a particular use case.
 
     Note:
         Default weights_dict:
 
         .. include:: ../default_sem_eq_weights.rst
 
+    Note:
+        This implementation follows the Semantic Equivalence Committee Note.
+        see `the Committee Note <link here>`__.
+
     """
     weights = WEIGHTS.copy()
 
@@ -95,83 +100,31 @@ def graphically_equivalent(ds1, ds2, prop_scores={}, **weight_dict):
 
 
 # default weights used for the graph semantic equivalence process
-# values are re-balanced to account for new property checks and add up to 100
-WEIGHTS = {
-    "attack-pattern": {
-        "name": (30, partial_string_based),
-        "external_references": (70, partial_external_reference_based),
-    },
-    "campaign": {
-        "name": (60, partial_string_based),
-        "aliases": (40, partial_list_based),
-    },
-    "course-of-action": {
-        "name": (60, partial_string_based),
-        "external_references": (40, partial_external_reference_based),
-    },
-    "identity": {
-        "name": (60, partial_string_based),
-        "identity_class": (20, exact_match),
-        "sectors": (20, partial_list_based),
-    },
-    "indicator": {
-        "indicator_types": (15, partial_list_based),
-        "pattern": (80, custom_pattern_based),
-        "valid_from": (5, partial_timestamp_based),
-        "tdelta": 1,  # One day interval
-    },
-    "intrusion-set": {
+WEIGHTS.update({
+    "grouping": {
         "name": (20, partial_string_based),
-        "external_references": (60, partial_external_reference_based),
-        "aliases": (20, partial_list_based),
-    },
-    "location": {
-        "longitude_latitude": (34, partial_location_distance),
-        "region": (33, exact_match),
-        "country": (33, exact_match),
-        "threshold": 1000.0,
-    },
-    "malware": {
-        "malware_types": (20, partial_list_based),
-        "name": (80, partial_string_based),
-    },
-    "marking-definition": {
-        "name": (20, exact_match),
-        "definition": (60, exact_match),
-        "definition_type": (20, exact_match),
+        "context": (20, partial_string_based),
+        "object_refs": (60, list_reference_check),
     },
     "relationship": {
+        "relationship_type": (20, exact_match),
         "source_ref": (40, reference_check),
         "target_ref": (40, reference_check),
-        "relationship_type": (20, exact_match),
     },
     "report": {
-        "object_refs": (60, list_reference_check),
         "name": (30, partial_string_based),
         "published": (10, partial_timestamp_based),
+        "object_refs": (60, list_reference_check),
         "tdelta": 1,  # One day interval
     },
     "sighting": {
         "first_seen": (5, partial_timestamp_based),
         "last_seen": (5, partial_timestamp_based),
-        "where_sighted_refs": (20, list_reference_check),
-        "observed_data_refs": (20, list_reference_check),
         "sighting_of_ref": (40, reference_check),
+        "observed_data_refs": (20, list_reference_check),
+        "where_sighted_refs": (20, list_reference_check),
         "summary": (10, exact_match),
     },
-    "threat-actor": {
-        "name": (60, partial_string_based),
-        "threat_actor_types": (20, partial_list_based),
-        "aliases": (20, partial_list_based),
-    },
-    "tool": {
-        "tool_types": (20, partial_list_based),
-        "name": (80, partial_string_based),
-    },
-    "vulnerability": {
-        "name": (30, partial_string_based),
-        "external_references": (70, partial_external_reference_based),
-    },
     "_internal": {
         "ignore_spec_version": False,
         "versioning_checks": False,
@@ -179,4 +132,4 @@ def graphically_equivalent(ds1, ds2, prop_scores={}, **weight_dict):
         "ds2": None,
         "max_depth": 1,
     },
-}  #: :autodoc-skip:
+})  #: :autodoc-skip:
diff --git a/stix2/equivalence/object/__init__.py b/stix2/equivalence/object/__init__.py
index 3e291ac1..c24fa3cc 100644
--- a/stix2/equivalence/object/__init__.py
+++ b/stix2/equivalence/object/__init__.py
@@ -8,7 +8,7 @@
 
 
 def semantically_equivalent(obj1, obj2, prop_scores={}, **weight_dict):
-    """This method is meant to verify if two objects of the same type are
+    """This method verifies if two objects of the same type are
     semantically equivalent.
 
     Args:
@@ -23,10 +23,11 @@ def semantically_equivalent(obj1, obj2, prop_scores={}, **weight_dict):
         float: A number between 0.0 and 100.0 as a measurement of equivalence.
 
     Warning:
-        Some object types do not have an entry for use in the equivalence process.
-        In order for those objects to influence the final score a new entry needs to
-        be defined in the WEIGHTS dictionary. Similarly, the values can be fine tuned
-        for a particular use case.
+        Object types need to have property weights defined for the equivalence process.
+        Otherwise, those objects will not influence the final score. The WEIGHTS
+        dictionary under `stix2.equivalence.object` can give you an idea on how to add
+        new entries and pass them via the `weight_dict` argument. Similarly, the values
+        or methods can be fine tuned for a particular use case.
 
     Note:
         Default weights_dict:
@@ -396,6 +397,10 @@ def list_reference_check(refs1, refs2, ds1, ds2, **weights):
         "name": (60, partial_string_based),
         "aliases": (40, partial_list_based),
     },
+    "course-of-action": {
+        "name": (60, partial_string_based),
+        "external_references": (40, partial_external_reference_based),
+    },
     "identity": {
         "name": (60, partial_string_based),
         "identity_class": (20, exact_match),
@@ -407,6 +412,11 @@ def list_reference_check(refs1, refs2, ds1, ds2, **weights):
         "valid_from": (5, partial_timestamp_based),
         "tdelta": 1,  # One day interval
     },
+    "intrusion-set": {
+        "name": (20, partial_string_based),
+        "external_references": (60, partial_external_reference_based),
+        "aliases": (20, partial_list_based),
+    },
     "location": {
         "longitude_latitude": (34, partial_location_distance),
         "region": (33, exact_match),
@@ -417,6 +427,11 @@ def list_reference_check(refs1, refs2, ds1, ds2, **weights):
         "malware_types": (20, partial_list_based),
         "name": (80, partial_string_based),
     },
+    "marking-definition": {
+        "name": (20, exact_match),
+        "definition": (60, exact_match),
+        "definition_type": (20, exact_match),
+    },
     "threat-actor": {
         "name": (60, partial_string_based),
         "threat_actor_types": (20, partial_list_based),