diff --git a/DIRECTORY.md b/DIRECTORY.md
index 2e9942b5bf93..505ae0a26930 100644
--- a/DIRECTORY.md
+++ b/DIRECTORY.md
@@ -274,6 +274,7 @@
     * [Test Send File](https://github.com/TheAlgorithms/Python/blob/master/file_transfer/tests/test_send_file.py)
 
 ## Fractals
+  * [Julia Sets](https://github.com/TheAlgorithms/Python/blob/master/fractals/julia_sets.py)
   * [Koch Snowflake](https://github.com/TheAlgorithms/Python/blob/master/fractals/koch_snowflake.py)
   * [Mandelbrot](https://github.com/TheAlgorithms/Python/blob/master/fractals/mandelbrot.py)
   * [Sierpinski Triangle](https://github.com/TheAlgorithms/Python/blob/master/fractals/sierpinski_triangle.py)
@@ -424,10 +425,12 @@
   * [Binomial Distribution](https://github.com/TheAlgorithms/Python/blob/master/maths/binomial_distribution.py)
   * [Bisection](https://github.com/TheAlgorithms/Python/blob/master/maths/bisection.py)
   * [Ceil](https://github.com/TheAlgorithms/Python/blob/master/maths/ceil.py)
+  * [Check Polygon](https://github.com/TheAlgorithms/Python/blob/master/maths/check_polygon.py)
   * [Chudnovsky Algorithm](https://github.com/TheAlgorithms/Python/blob/master/maths/chudnovsky_algorithm.py)
   * [Collatz Sequence](https://github.com/TheAlgorithms/Python/blob/master/maths/collatz_sequence.py)
   * [Combinations](https://github.com/TheAlgorithms/Python/blob/master/maths/combinations.py)
   * [Decimal Isolate](https://github.com/TheAlgorithms/Python/blob/master/maths/decimal_isolate.py)
+  * [Double Factorial Iterative](https://github.com/TheAlgorithms/Python/blob/master/maths/double_factorial_iterative.py)
   * [Double Factorial Recursive](https://github.com/TheAlgorithms/Python/blob/master/maths/double_factorial_recursive.py)
   * [Entropy](https://github.com/TheAlgorithms/Python/blob/master/maths/entropy.py)
   * [Euclidean Distance](https://github.com/TheAlgorithms/Python/blob/master/maths/euclidean_distance.py)
diff --git a/graphs/boruvka.py b/graphs/boruvka.py
index 3fa5c6fd2a26..eea0b0009941 100644
--- a/graphs/boruvka.py
+++ b/graphs/boruvka.py
@@ -24,6 +24,7 @@
 
     Details: https://en.wikipedia.org/wiki/Bor%C5%AFvka%27s_algorithm
 """
+from __future__ import annotations
 
 
 class Graph:
@@ -39,8 +40,8 @@ def __init__(self, num_of_nodes: int) -> None:
         """
 
         self.m_num_of_nodes = num_of_nodes
-        self.m_edges = []
-        self.m_component = {}
+        self.m_edges: list[list[int]] = []
+        self.m_component: dict[int, int] = {}
 
     def add_edge(self, u_node: int, v_node: int, weight: int) -> None:
         """Adds an edge in the format [first, second, edge weight] to graph."""
@@ -83,7 +84,7 @@ def boruvka(self) -> None:
         component_size = []
         mst_weight = 0
 
-        minimum_weight_edge = [-1] * self.m_num_of_nodes
+        minimum_weight_edge: list[int] = [-1] * self.m_num_of_nodes
 
         # A list of components (initialized to all of the nodes)
         for node in range(self.m_num_of_nodes):