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