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Unit 1 · Discrete Structures and Optimization Paper 2 CS · December 2022 (Shift 2)

Consider the Graph below:

Figure

How many spanning trees can be found?

Pick an option to check yourself, or open the answer below.

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Correct answer: D. 8 δ

Explanation

The graph is K₄ with one edge missing (5 edges on 4 vertices). K₄ has 16 spanning trees and each edge lies in 16 × 3/6 = 8 of them, so removing one edge leaves 16 − 8 = 8.

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