A graph with n nodes is connected, undirected, and acyclic. How many edges must it have? (Select ...
A graph with n nodes is connected, undirected, and acyclic. How many edges must it have? (Select the answer from the following options and prove your choice):
a) n
b) n*(n-1)
c) n- 1
d) n/2 - 1
Homework Answers
The correct answer is option c i.e. n-1. The reason behind this is that, a connected undirected graph with n nodes and without any cycle is a tree and a tree over n vertices always has n-1 edges.
Please comment for any clarification.
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A graph with n nodes is connected, undirected, and acyclic. How many edges must it have? (Select ...
Problem 6. In lecture, we saw that an undirected graph with n nodes can have at...
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