MCQ Subject: Discrete Mathematics & Graph Theory

What is the maximum number of edges in a simple undirected graph with 5 vertices?

A connected graph has 4 vertices of odd degree. What can be concluded about the existence of Eulerian paths and circuits in this graph?

In a connected undirected graph, which of the following statements about a bridge and an articulation point is ALWAYS TRUE?

A complete bipartite graph K3,3 is characterized by which of the following?

A graph has 6 vertices with degrees 4, 3, 2, 2, 1, and 1. Which statement is true?

Which of the following best describes a tree in Graph Theory?

Which of the following correctly represents Euler’s formula for a connected planar graph?

In graph theory, a walk that does not repeat any edge but may repeat vertices is best described as a:

What is the maximum number of unique edges in an undirected simple graph with 4 vertices?

A graph with 10 vertices is connected. What is the minimum number of edges required to ensure it remains connected without forming any cycles?