Discrete Mathmatics   The graph intersection of a collection of sets A1, A2, · · · , An is the graph that has a vertex for each of these sets and has an edge connecting the vertices representing two sets if these sets have a nonempty intersection. Construct the intersection graph for of the following collection of sets.  A1 = {0, 2, 4, 6, 8}  A2 = {0, 1, 2, 3, 4}  A3 = {1, 3, 5, 7, 9}  A4 = {5, 6, 7, 8, 9}  A5 = {0, 1, 8, 9}

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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”.