1.1 How many simple graphs are there of four vertices? Draw all of them.

Q: How many distinct unlabeled simple graphs on five nodes with equal to or less than five edges? 0 12…

A: The given question is related with graph theory. Here we have to find the number of distinct…

Q: D By naming the vertices in order, state three different Aniongles. that are similar to each other.

A:

Q: 1. Consider the given graph. (a) Determine the number of vertices of the graph. (b) Determine…

A:

Q: 12b) Identify if each of the following graphs is bipartite or not bipartite.

A: We have been given two graphs: (i) (ii) We have to identify the given graphs is bipartite or not.

Q: Show that every graph with n vertices and k edges, n> k has n – k components.

A:

Q: Let A and B each be sets of N labeled vertices, and consider bipartite graphs between A and B. 1)…

A: There are two sets A and B, each of N-labeled vertices. Consider there are no edges between  A and B…

Q: In how many ways can one walk from A to B by taking the shortest possible path along the grids?

A: In this case, we are able to move up or right. From the diagram we can move 4 rights, and 5 ups'.

Q: number

A:

Q: Among each pair of the CEOs of N companies there is (a) mutual like; (b) mutual dislike; (c) neutral…

A:

Q: If a simple graph G is having I1 vertices and 9 edges then its complement graph G will have O 11…

A: Given, number of edges in graph G, EG=9 Number of vertices in graph G, n=11 We know that,…

Q: In a group of 9 people, there is one people who knows 6 others, and another 3 people who know at…

A: We will solve this problem by using graph theory. Claim:- To show that there are three people who…

Q: The graph G₁ has 6 vertices, all of degree 3. How many edges does G₁ have? The graph G₂ has 8…

A:

Q: Show that every simple finite graph has two vertices of the same degree.

A:

Q: 11. If G is a simple graph with 4 vertices, then the maximum possible value for the sum of the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Determine the fewest number of different colors needed to color this graph so that every node is…

A:

Q: We say that two distinct edges in a graph are adjacent if there is a vertex incident to both (the…

A: Solution

Q: Show that in a simple graph with at least two vertices there must be two vertices that have the same…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Draw all nonisomorphic simple graphs with four vertices and no more than two edges.

A: Given: The objective is to draw all the nonisomorphic simple graphs with the four vertices and no…

Q: A simple connected graph with 2,024 vertices is such that there are exactly two vertices, u and v,…

A:

Q: 6. Draw the complete bipartite graph K4,5 and it's complement. Find the number of vertices |V| and…

A: The complete bipartite graph K4,5 is shown below

Q: A school consists of 6 separate buildings, represented by the vertices in the graph. There are paths…

A:

Q: t will be the domina ?

A: Given: Z is a complete graph with n vertices. To find : Domination number of R.

Q: show that every simple finite graph has two vertices of the same degree

A: Solution: Suppose G is a finite simple graph with n vertices.  Since G is simple, no vertex is…

Q: Can a simple graph exist with 9 vertices all of degree 5?

A: Handshaking lemma: In any graph, sum of degree of all the vertices is twice the number of edges…

Q: Show that every simple graph on n vertices subgraph of K.

A:

Q: (a) An undirected simple graph has 1000 vertices of degree 6 and 200 vertices of de- gree 2. This…

A: Since you have posted a multiple question according to guildlines I will solve first  question for…

Q: How many edges does a complete graph K„ have? Prove / explain your answer.

A: The complete graph Kn is a graph with n vertices such that every there is exactly one edge between…