DMU6D3 Skill Check Kruskal's Algorithm

Front

What is Kruskal's Algorithm used for?

Back

Kruskal's Algorithm is used to find a minimum spanning tree for a non-directed graph.

Front

What are the edges selected for a minimum spanning tree (MST) using Kruskal's Algorithm?

Back

The edges selected are AC, AD, CB, CE.

Front

What is the first edge selected in Kruskal's Algorithm?

Back

The first edge selected is EC.

Front

Which edge must be included in a minimum spanning tree (MST) for a given network using Kruskal's Algorithm?

Back

The edge that must be included is LM.

Front

What edges give the MST of the network using Kruskal's Algorithm?

Back

The edges that give the MST are AB, BF, FE, CE, DC.

Front

Define a minimum spanning tree (MST).

Back

A minimum spanning tree (MST) is a subset of the edges of a connected, edge-weighted graph that connects all the vertices together without any cycles and with the minimum possible total edge weight.

Front

What is the significance of edge weights in Kruskal's Algorithm?

Back

Edge weights determine the cost of including an edge in the minimum spanning tree; Kruskal's Algorithm selects edges in increasing order of weight.

Front

Explain the process of selecting edges in Kruskal's Algorithm.

Back

Edges are selected in order of increasing weight, ensuring that no cycles are formed until all vertices are connected.

Front

What is the role of disjoint-set data structure in Kruskal's Algorithm?

Back

The disjoint-set data structure helps to efficiently manage and merge sets of vertices to detect cycles during the edge selection process.

Front

How does Kruskal's Algorithm differ from Prim's Algorithm?

Back

Kruskal's Algorithm builds the MST by selecting edges, while Prim's Algorithm grows the MST by adding vertices.