# Provide a pseudocode algorithm to prove that an undirected graph is triangle-free. provide time complexity and explain why? Pseudocode Algorithm to Determine if a Graph is Triangle-Free (Time complexity: O(n^2))

Pseudocode Algorithm for determining if a Graph has Triangle-Free (Time complexity O(n2)).

Pseudocode Algorithm to Determine if a Graph is Triangle-Free (Time complexity: O(n^2))  Title: Triangle-Free Graph Detection Algorithm  1.  Initiate an empty set S  Iterate over each pair of nodes (u, v) in the graph, for each pair:  3.   Create a set of all adjacent edges of both u and v  4.   Each edge (x and y) of the set you created in step 3 must be checked for a triangle.  5.   Find a triangle and add it to the set S 6.   Step 5 is repeated for each edge created by step 3. If the set does not remain empty (step 2) then the graph is considered to be triangle-free.  The algorithm’s time complexity is O(n2) because this algorithmCHECKS every pair that could make up a triangular graph (Bajaj and 2020).  References: Bajaj, A. (2020). Time and Space Complexity – Classification of Algorithms. Cont…

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