Weighted Graph:
A graph is termed as weighted graph if each edge of the graph is assigned a weight. The weighted edges stored in the weighted graphs can be stored in adjacency lists.
Weighted edges can be represented using a two-dimensional array. An weighted edge can be represented as “WeightedEdge(u,v,w)”, where “u” and “v” are edges and “w” represents the weight between them.
Example of storing edge in a weighted graph:
Object[][] edges =
{ new Integer(0), new Integer(1), new SomeTypeForWeight(8) };
Spanning Tree:
In computer science, a Spanning Tree for a graph “G” is a subgraph of “G” that it is a free tree connecting all vertices in “V”.
Cost:
The cost of the spanning tree is the sum of the cost of all edges in the tree.
- A Minimum Spanning Tree of graph G is a spanning tree of G having a minimum cost.
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Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
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