. A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected graph that connects all the vertices together, without any cycles and with the minimum possible total edge weight. There are 2 very popular algorthms to calcualte MSTs of a graph. These algorithms are Kruskal's algorithm and Prim's algorithm.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a
connected, edge-weighted undirected graph that connects all the vertices together, without any cycles
and with the minimum possible total edge weight.
There are 2 very popular algorthms to calcualte MSTs of a graph. These algorithms are Kruskal's
algorithm and Prim's algorithm.
10
Figure 2: A weighted graph and its minimum spanning tree
(i) Can you come up with a technique to find the second best MST? Write the algorithm steps and
necessary supporting logic. Analyze your algorithms time complexity in terms of the number
of vertices V and number of edges E.
Transcribed Image Text:A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected graph that connects all the vertices together, without any cycles and with the minimum possible total edge weight. There are 2 very popular algorthms to calcualte MSTs of a graph. These algorithms are Kruskal's algorithm and Prim's algorithm. 10 Figure 2: A weighted graph and its minimum spanning tree (i) Can you come up with a technique to find the second best MST? Write the algorithm steps and necessary supporting logic. Analyze your algorithms time complexity in terms of the number of vertices V and number of edges E.
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