All mock tests are FREE till 31 December — register to save your progress

Which of the following graphs (on vertices a–f) are trees?
(A) edges: ac, bc, cd, cf, ef
(B) edges: ac, af, df, ef, be
(C) edges: ab, ac, ad, be, cf, de
(D) edges: af, be, bd, ce
Choose the correct answer from the options given below:

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

Show answer & explanation

Correct answer: A. (A) and (B) only

Explanation

A tree on 6 vertices is connected with exactly 5 edges. A and B are connected with 5 edges, so they are trees. C has 6 edges and a cycle a-b-e-d-a. D has only 4 edges and is disconnected.

More Discrete Structures and Optimization questions