Solution

The correct answer is A - III; B - IV; C - I; D - II

Key Points

• A. Planar Graph - III. 4-Colorable.
  • The four-color theorem states that any map in a plane can be colored using four-colors in such a way that regions sharing a common boundary (other than a single point) do not share the same color.
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• B. Bipartite Graph - IV. 2-Colorable.
  • A bipartite graph can be divided into two sets of vertices such that all edges connect a vertex in one set to a vertex in the other set. Therefore, they are 2-colorable.
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• C. PERT (Program Evaluation and Review Technique) - I. Probabilistic Model.
  • PERT is a statistical tool, used in project management, designed to analyze and represent the tasks involved in completing a given project. It uses probabilistic time estimates.
• D. CPM (Critical Path Method) - II. Deterministic Model.
  • ​CPM is a method used in project management for planning and scheduling the different steps in the project. It's a deterministic model because it assumes a fixed time duration for each task.