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Graph theory
Contributed by: Leigh
  • 1. Graph theory is a branch of mathematics that deals with the study of graphs, which are mathematical structures used to model relationships between objects. A graph consists of a set of vertices, or nodes, which are connected by edges, or links. Graph theory has applications in various fields such as computer science, social network analysis, and operational research. It helps in solving problems related to connectivity, routing, optimization, and more. Overall, graph theory provides a powerful framework for analyzing and understanding complex systems and relationships.

    What is a graph in graph theory?
A) A mathematical structure consisting of vertices and edges
B) A pie chart
C) A chart or diagram
D) A line graph
  • 2. What is a vertex in a graph?
A) A path between two vertices
B) A line connecting two points in a graph
C) A point or node in a graph
D) A function in graph theory
  • 3. What is an edge in a graph?
A) A loop on a vertex
B) A connection between two vertices
C) A vertex with no connections
D) A node's color in a graph
  • 4. In a simple graph, can an edge connect a vertex to itself?
A) Sometimes
B) Yes
C) Depends on the number of vertices
D) No
  • 5. What is the degree of a vertex in a graph?
A) The size of the graph
B) The number of vertices in the graph
C) The number of edges incident to the vertex
D) The distance from one vertex to another
  • 6. What is a path in graph theory?
A) A cycle in a graph
B) An isolated vertex
C) A sequence of edges that connect a sequence of vertices
D) A disconnected graph
  • 7. What is a planar graph?
A) A graph that can be drawn on a plane without any edge intersections
B) A graph with cycles
C) A multigraph
D) A disconnected graph
  • 8. What is an isomorphism between two graphs?
A) A loop on a vertex in both graphs
B) A bijection between their vertex sets that preserves edges
C) The same number of vertices in both graphs
D) Two disconnected graphs
  • 9. What is a weighted graph?
A) An undirected graph
B) A graph with only one vertex
C) A graph in which a number (weight) is assigned to each edge
D) A graph with maximum number of edges
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