Graph Theory Concepts

What are vertices in a graph?

• Vertices in a graph are the points where edges meet or intersect.

• Vertices in a graph are the angles formed by the edges.

• Vertices in a graph are the lines connecting the points.

• Vertices in a graph are the labels assigned to the edges.

Define edges in a graph.

• Edges are the colors used to represent different nodes in a graph.

• Edges are the labels assigned to vertices in a graph.

• Edges are the shapes that connect nodes in a graph.

• Edges are the connections between vertices or nodes in a graph.

How are vertices represented in a graph?

• Vertices are represented as circles

• Vertices are represented as nodes or points

• Vertices are represented as lines

• Vertices are represented as edges

Tags

CCSS.HSG.CO.A.1

CCSS.HSS.ID.B.6

Explain the concept of adjacent vertices.

• Adjacent vertices are vertices that are connected by a curve in a graph.

• Adjacent vertices are vertices that are not connected by an edge in a graph.

• Adjacent vertices are vertices that are connected by a diagonal edge in a graph.

• Adjacent vertices are vertices that are connected by an edge in a graph.

What is the degree of a vertex in a graph?

• The degree of a vertex is the number of vertices connected to it

• The degree of a vertex in a graph is the number of edges incident to that vertex.

• The degree of a vertex is the number of cycles it is a part of

• The degree of a vertex is the sum of the weights of the edges connected to it

Describe the difference between directed and undirected edges.

• Directed edges are used in undirected graphs, while undirected edges are used in directed graphs.

• Directed edges have a specific direction, while undirected edges do not.

• Directed edges are bidirectional, while undirected edges are unidirectional.

• Directed edges have no specific direction, while undirected edges do.

Identify the vertices and edges in the following graph: A--B, B--C, C--D, D--A

• Vertices: A, B, C. Edges: A--B, B--C, C--A, A--B

• Vertices: A, B, C, D, E. Edges: A--B, B--C, C--D, D--E

• Vertices: A, B, C, D. Edges: A--B, B--C, C--D, D--E

• Vertices: A, B, C, D. Edges: A--B, B--C, C--D, D--A

In a complete graph with 5 vertices, how many edges are present?

• 10

• 8

• 12

• 6

Tags

CCSS.HSS.CP.B.9

What is a path in a graph?

• A path in a graph is a sequence of vertices where each adjacent pair is connected by an edge.

• A path in a graph is a closed loop of vertices.

• A path in a graph is a set of disconnected vertices.

• A path in a graph is a single vertex.