## Related questions with answers

Ambassadors from countries A, B, C, D, E, and F are to be seated around a circular conference table. Friendly relations among the various countries are described as follows: A has friendly relations with B and F. B has friendly relations with A, C, and E. C has friendly relations with B, D, E, and F. E has friendly relations with B, C, D, and F. All friendly relations are mutual. Using vertices to represent countries and edges to represent friendly relations, draw a graph that models the information given. Then use a Hamilton circuit to devise a seating arrangement around the table so that the ambassadors from B and E are seated next to each other, and each ambassador represents a country that has friendly relations with the countries represented by the ambassadors next to him or her.

Solution

VerifiedGiven: Vertices = Countries Edges = Friendly relations

We need to represent the given information using a graph and determine a possible seating arrangement by deriving a Hamilton circuit. $B$ and $E$ will need to sit next to each other in the seating arrangement.

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