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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5, Problem 20RE

Textbook Problem

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Use the edge-picking algorithm to find a Hamiltonian circuit starting at vertex A in the weighted graph.

The graph in Exercise 18

To determine

**To find:**

Hamiltonian circuit by using the edge-picking algorithm.

**Given:**

Use Edge picking algorithm

**Calculation:**

There are totally 5 edges

Step 1: point the edge in the graph that has smallest weight, here take AB (Note that while comparing any two edges, if they have same weight, select any one)

Step 2: In graph, consider the next smallest weight and select the edge .Do it so that it should not complete a circuit and it should not add any third edge to a selected vertex.

Step 3: carry on with this process until no one can mark any edge longer and now select the final edge that finishes the Hamiltonian circuit

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