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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 line graph
B) A pie chart
C) A chart or diagram
D) A mathematical structure consisting of vertices and edges
  • 2. What is a vertex in a graph?
A) A line connecting two points in a graph
B) A function in graph theory
C) A path between two vertices
D) A point or node in a graph
  • 3. What is an edge in a graph?
A) A loop on a vertex
B) A node's color in a graph
C) A vertex with no connections
D) A connection between two vertices
  • 4. In a simple graph, can an edge connect a vertex to itself?
A) Depends on the number of vertices
B) No
C) Yes
D) Sometimes
  • 5. What is the degree of a vertex in a graph?
A) The number of edges incident to the vertex
B) The number of vertices in the graph
C) The distance from one vertex to another
D) The size of the graph
  • 6. What is a path in graph theory?
A) A cycle in a graph
B) A disconnected graph
C) A sequence of edges that connect a sequence of vertices
D) An isolated vertex
  • 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 disconnected graph
D) A multigraph
  • 8. What is an isomorphism between two graphs?
A) A loop on a vertex in both graphs
B) Two disconnected graphs
C) A bijection between their vertex sets that preserves edges
D) The same number of vertices in both graphs
  • 9. What is a weighted graph?
A) A graph with only one vertex
B) A graph in which a number (weight) is assigned to each edge
C) A graph with maximum number of edges
D) An undirected graph
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