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