Explanation Given: Calculation: Calculation: LetTbe the graph with the vertices of the given graph and with no edges between the vertices. Let us select the vertexaas the root. There are 2 edges incident toainG. Both edges have he same weight, thus we can choose either edge. Let us choose ( a , b ) , thus we add the edge ( a , b ) toT. ( a , b ) ∈ T There is 1 edge incident toain remainingGand 2 edges incident tob.The smallest weight of these edges is 3 which belong to ( a , e ) . As this edge does not causes a circuit, we can add it to the graph ( a , e ) ∈ T Of all remaining edges that are incident toa,bore, the smallest weight of the 4 belongs to the edge (b,c). As this edge does not causes a circuit, we can add it to the graph ( b , c ) ∈ T Of all remaining edges that are incident toa,b, core, the smallest weight of the 1 belongs to the edge (c,d). As this edge does not causes a circuit, we can add it to the graph ( c , d ) ∈ T Of all remaining edges that are incident toa,b, c, d,eorh,the smallest weight of the 2 belongs to the multiple edges

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Author: ROSEN

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Chapter 11.5, Problem 4E

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Use Prim’s algorithm to find a minimum spanning tree for the given weighted graph.

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Chapter 11 Solutions

DISCRETE MATHEMATICS+ITS APPL. (LL)-W/A

Ch. 11.1 - Prob. 1E Ch. 11.1 - Vhich of these graphs are trees?Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - Prob. 7E Ch. 11.1 - Prob. 8E Ch. 11.1 - Prob. 9E Ch. 11.1 - Prob. 10E

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Use Prim’s algorithm to find a minimum spanning tree for the given weighted graph.

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Use Prim’s algorithm to find a minimum spanning tree for the given weighted graph.

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Chapter 11 Solutions