An Unfair Algorithm Finding the MWM of a graph is as easy as selecting edges from a list in order, including the edge in matching, and removing all neighbouring edges from the list. This is done by sorting edges according to their weights in a non-increasing sequence. 1. Input: A weighted graph G = (V, E, w) 2. Output: A maximal weighted matching M of G 3. M ← Ø 4. sort E and store the list in Q 5. while Q = Ø 6. remove first element e from Q 7. M ← M ∪ e 8. Q ← Q\ { all adjacent edges to e }Let's attempt to use the preceding methods to create this algorithm in Python.

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Polynomial Time

The problems for which the deterministic polynomial-time algorithm exists belong to the complexity class (p) and it is central in the field of computational complexity theory. According to Cobham’s thesis, polynomial time is a synonym for “feasible”, “fast”, and “efficient”.