The "Addition" operation can only add a single edge between two vertices.State true or false.a)Falseb)True
Question
The "Addition" operation can only add a single edge between two vertices. State true or false.
a) False
b) True
Solution
The statement "The 'Addition' operation can only add a single edge between two vertices" is generally considered True.
In the context of graph theory, the addition operation typically refers to the process of adding edges to a graph. When adding an edge between two vertices, it is standard practice that only one edge is created unless the graph allows for multiple edges between the same pair of vertices (which is found in multigraphs).
In simple graphs, which do not permit multiple edges, each pair of distinct vertices can be connected by exactly one edge. Thus, the addition operation adheres to this rule. Therefore, the answer is:
b) True.
Similar Questions
In a simple graph, the number of edges is equal to twice the sum of the degrees of the vertices.Group of answer choicesFalseTrue
Which of the following correctly shows how to add two vectors (adding the blue vector to the red vector)?
Two vertices are on a ______ if there is a sequences of vertices beginning with the first one and ending with the second one
In a digraph, the sum of the in-degrees is equal to:A. The number of verticesB. The number of edgesC. Twice the number of verticesD. Twice the number of edges
If every node u in G adjacent to every other node v in G, A graph is said to be Complete Options true false
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.