What term describes the following? a subgraph that includes all vertices of a graph connected with the minimum number of edges and no cycles.
Difficulty: Medium
About this MCQ
This Medium Discrete Mathematics question asks: What term describes the following? a subgraph that includes all vertices of a graph connected with the minimum number of edges and no cycles. The correct choice is D. Spanning tree. Read the options below, commit to one, then use the explanation to see why that choice holds and why the others do not.
Discrete Mathematics items like this one are written for Pakistan exams such as CSS, FPSC, PPSC, and NTS. The difficulty label is a hint about how much of the topic the stem assumes, not a score. Tags and exam names, when they are present, tell you where else the same idea is tested. Previous and next links stay in Discrete Mathematics so you can continue the subject. Related questions point at nearby stems if you want another angle on the same idea.
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- A. Pigeonhole principle
Why not A: “Pigeonhole principle” does not fit this question. The answer is Spanning tree.
- B. Degree of a vertex
Why not B: “Degree of a vertex” does not fit this question. The answer is Spanning tree.
- C. Equivalence relation
Why not C: “Equivalence relation” does not fit this question. The answer is Spanning tree.
- D. Spanning tree ✓
Correct answer
D. Spanning tree
Explanation
Spanning tree (option D) is the accepted answer to “What term describes the following? a subgraph that includes all vertices of a graph connected with the minimum number of edges and no cycles.”. Option A (Pigeonhole principle) does not fit this question. Option B (Degree of a vertex) does not fit this question. Option C (Equivalence relation) does not fit this question. For this Discrete Mathematics question, the accepted answer is Spanning tree.
Source: Discrete Mathematics Official Reference Guide
Tags: computer science, discrete mathematics, mathematics, logic
Submitted by: MCQsHub Editorial
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