Question

Given two chickens in a flock, one of them is dominant. This defines the pecking order of the flock. How can a tournament be used to model pecking order?

Short answer

A tournament graph can be used to model the pecking order because a directed edge from one chicken's respected vertex to the other bird's respective vertex is included if and only if one chicken is dominant over another.

Step-by-step solution

Concept/Significance of tournament graph

A tournament graph is created by taking a full undirected graph and directing each of its edges in one of two directions.

Each tournament graph with n vertices represents the outcomes of thetournament that each of n teams competed against all other teams.

Explanation of how can a tournament be used to model the pecking order

Consider the graph G which has the vertices u, v, w, and x.

The chickens are represented by these vertices. Plan an edge in the graph between two (u, v)only when u dominates the chicken or vice versa.

As a result, one of the chickens is in charge. Draw a directed edge from the respected vertex of one bird to the vertex of the other fowl.

As a result, a tournament may be utilised to simulate the pecking order.

Thus, a tournament graph can be used to model the pecking order because a directed edge from one chicken's respected vertex to the other bird's respective vertex is included if and only if one chicken is dominant over another.