Graph Theory Quiz
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Questions and Answers

What is a loop in a graph?

  • An edge with only one endpoint
  • An edge with no endpoints
  • An edge whose endpoints are equal (correct)
  • An edge that connects all vertices

How are directed edges represented in a graph?

  • As unordered pairs of vertices
  • As loops connecting a single vertex
  • As multiple edges between the same vertices
  • As ordered pairs of vertices (correct)

What is the main application of graph theory in computer science?

  • Solving shortest path problems in networks (correct)
  • Defining planar graphs
  • Assigning channels to television stations
  • Modeling chemical compounds

How are undirected edges represented in a graph?

<p>As unordered pairs of vertices (A)</p> Signup and view all the answers

What does a graph loop represent?

<p>A self-connected edge (D)</p> Signup and view all the answers

What is the representation of a directed edge in a graph?

<p>Ordered pair of vertices (C)</p> Signup and view all the answers

How are undirected edges represented in a graph?

<p>Unordered pair of vertices (D)</p> Signup and view all the answers

What is the main application of graph theory in computer science?

<p>Solving shortest path problems between cities (B)</p> Signup and view all the answers

What is a loop in a graph?

<p>An edge whose endpoints are equal (B)</p> Signup and view all the answers

What does a graph consist of?

<p>Set of vertices and set of edges (C)</p> Signup and view all the answers

Flashcards

Loop in a graph

An edge where both endpoints are the same vertex.

Directed edge

An edge with a direction, represented as an ordered pair of vertices.

Undirected edge

An edge without a direction, represented as an unordered pair of vertices.

Graph Application

Finding the shortest paths in networks (like road maps or computer networks).

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Graph components

A graph is made up of vertices (points) and edges (lines connecting vertices).

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Study Notes

Graph Basics

  • A graph consists of nodes or vertices connected by edges.
  • A loop in a graph is an edge that connects a node to itself.

Edge Representation

  • Directed edges are represented by an arrow pointing from the starting node to the ending node.
  • Undirected edges are represented by a simple line between nodes.

Graph Theory Applications

  • The main application of graph theory in computer science is to model and solve complex problems in various fields, such as computer networks, social networks, and web graphing.

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Description

Test your knowledge of graph theory and its applications in various fields such as computer networks, chemistry, transportation, and scheduling. This quiz covers definitions, types, terminology, representation, sub-graphs, connectivity, and Hamilton and Euler definitions. Ideal for those interested in mathematics, computer science, and engineering.

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