U 16 X 7 24 10 8 14 t 20 V Y G 16 24 26 14 W 12 Z
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
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
I have to use Prims

Transcribed Image Text:The image depicts a weighted graph \( G \) with vertices labeled \( u, v, w, x, y, z, \) and \( t \). The edges between these vertices have weights assigned to them, illustrated by the numbers along the edges. The structure of the graph seems to indicate a combination of polygons, likely intended to represent a network of some kind.
### Vertex and Edge Details:
- **Vertices:** \( u, v, w, x, y, z, t \)
- **Edges and Weights:**
- \( ut \): Weight 7
- \( uv \): Weight 10
- \( uw \): Weight 16
- \( tw \): Weight 16
- \( tv \): Weight 14
- \( vx \): Weight 24
- \( vw \): Weight 24
- \( vx \): Weight 24
- \( vz \): Weight 26
- \( wx \): Weight 12
- \( xy \): Weight 8
- \( yz \): Weight 14
- \( xw \): Weight 16
- \( vy \): Weight 20
The vertices \( t, u, v, w, x, y, \) and \( z \) are connected in a network with varying edge weights, which might represent distances, costs, or other metrics in an applied context. This graph could be used to analyze paths, network flows, or optimization problems in terms of minimizing or maximizing the sum of weights on a path between vertices.
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