Graph Types and Properties

The video introduces the concept of graphs, explaining basic terminology and different types of graphs, including simple graphs, multigraphs, pseudographs, and directed graphs. It discusses the properties of each type, such as the presence of loops, multiple edges, and directed edges. The video aims to clarify the terminology and characteristics of various graph types, helping viewers understand the foundational concepts of graph theory.

What is a graph primarily composed of?

• Edges and loops

• Vertices and nodes

• Vertices and edges

• Vertices and loops

Can a graph have an empty set of vertices?

• Yes, always

• No, never

• Yes, if it has edges

• No, unless it's a multigraph

What makes a graph 'simple'?

• It has multiple edges

• It has no loops or multiple edges

• It has loops

• It has directed edges

What is a loop in graph terminology?

• A set of disconnected vertices

• An edge connecting a vertex to itself

• A cycle in a graph

• An edge connecting two different vertices

What is the primary feature of a simple graph?

• It has no loops or multiple edges

• It has only one vertex

• It has multiple edges

• It has directed edges

What is not allowed in a simple graph?

• Vertices

• Edges

• Endpoints

• Loops

What is a loop in graph terminology?

• A cycle in a graph

• A set of disconnected vertices

• An edge connecting a vertex to itself

• An edge connecting two different vertices

What is the primary feature of a simple graph?

• It has no loops or multiple edges

• It has only one vertex

• It has multiple edges

• It has directed edges

What distinguishes a multigraph from a simple graph?

• Directed edges

• No edges at all

• Multiple edges between the same vertices

• Presence of loops

What is a pseudograph?

• A graph with multiple edges and loops

• A graph with directed edges

• A graph with only loops

• A graph with no edges