Cheapest-Link Algorithm/Sorted Edges (Unit 10) SOL: DM.2

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Cheapest-Link Algorithm/Sorted Edges (Unit 10) SOL: DM.2 Classwork worksheet Homework (day 69)

Cheapest-link Algorithm- is used to piece together a tour by picking the separate “links” of the tour on the basis of cost. Steps: Pick the cheapest length available (i.e. the edge with the smallest weight). (In case of a tie pick one at random.) Mark it (say in red). Pick the next cheapest link available and mark it. 3,4,…,n-1. Continue picking and marking the cheapest length unmarked link available that does not: a. Close a circuit. b. Create three edges coming out of a single vertex. 3. Connect the last two vertices to close the red circuit. This circuit gives us the Cheapest-link tour .

Cheapest Link Algorithm Review: using the diagram apply each method and calculate the weight. Brute Force, Nearest Neighbor method and Repetitive Nearest Neighbor Cheapest Link Algorithm https://www.youtube.com/watch?v=WUMxRp3xei0

Sorted Edges (Cheapest-Link Algorithm) https://www. youtube. com/watch

Ex: Sorted Edges A C B D 155 124 179 126 190 157 Steps: List numbers in order from least to greatest. Check number from smallest to largest if the circuit allows you to follow the path. Add together all the checked numbers.

Cheapest-Link Algorithm