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