add recursive palindrome checker

algorithms/Python/README.md

@@ -29,6 +29,7 @@
 - [Recursive Insertion Sort](recursion/recursive_insertion_sort.py)
 - [Recursive Sum of n numbers](recursion/recursive-sum-of-n-numbers.py)
 - [GCD by Euclid's Algorithm](recursion/gcd_using_recursion.py)
+- [Recursive Is-Palindrome](recursion/recursive_palindrome.py)
 
 
 ## Scheduling

algorithms/Python/recursion/recursive_palindrome.py

@@ -0,0 +1,20 @@
+"""
+Function that uses a recursive approach to check  
+if a string is a palindrome 
+Time Complexity: O(N) where N is the length of the
+string
+"""
+
+def recursive_is_palindrome(s: str) -> bool:
+  if len(s) <= 1:
+    return True
+  if s[0] != s[-1]:
+    return False
+  return recursive_is_palindrome(s[1:-1])
+
+
+# test cases
+print(recursive_is_palindrome("abba") is True)
+print(recursive_is_palindrome("abba") is True)
+print(recursive_is_palindrome("") is True)
+print(recursive_is_palindrome("abcd") is False)