ThatQuiz
|
Test Library
|
Take this test now
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 chart or diagram
B) A pie chart
C) A mathematical structure consisting of vertices and edges
D) A line graph
  • 2. What is a vertex in a graph?
A) A point or node in a graph
B) A function in graph theory
C) A path between two vertices
D) A line connecting two points 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 connection between two vertices
D) A vertex with no connections
  • 4. What is a planar graph?
A) A graph with cycles
B) A multigraph
C) A graph that can be drawn on a plane without any edge intersections
D) A disconnected graph
  • 5. What is the degree of a vertex in a graph?
A) The distance from one vertex to another
B) The number of edges incident to the vertex
C) The size of the graph
D) The number of vertices in the graph
  • 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) The same number of vertices in both graphs
D) Two disconnected graphs
  • 7. What is a path in graph theory?
A) A sequence of edges that connect a sequence of vertices
B) A cycle in a graph
C) A disconnected graph
D) An isolated vertex
  • 8. In a simple graph, can an edge connect a vertex to itself?
A) No
B) Depends on the number of vertices
C) Yes
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) A graph with maximum number of edges
D) An undirected graph
Created with That Quiz — the site for test creation and grading in math and other subjects.