Discrete structure No. 1 pls. Note: Please provide solution procedures for each

Question

Discrete structure
No. 1 pls. Note: Please provide solution procedures for each question, including any assumptions and conditions 1. Find the transitive closure of the relation R represented by following digraph. 2. Let R be the relation represented in the above digraph in #1, and let s be the symmetric closure of R. Find SoR, and discuss what you can see from the result. 3. Below is a networking model for data centers in multiple cities. Is there an Euler circuit in the graph? Explain the reason for your answer If yes, show such a circuit, if not, can you show an Euler path in the graph? Detroit New York Chicago San Francisco Washington Denver Los Angeles 4. Apply Dijkstra's algorithm to find a shortest path (in mileage) between Miami and San Francisco in the airline system New York San Francisco 451 Los Angeles

Explanation / Answer

As of Now

R = { (a,a) , (a,b) , (b,c) , (c,a) }

Transitive Closure : What must be added to R so that Relation is transitive

Transitive Closure = R U {(a,c) , (b,a) , (c,b) }



Thanks, let me know if there is any concern

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