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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