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.

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Q: Use a graph to find a number N such that 6x² +5x-3 2x² - 1 -3N. -

A: we have given:

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

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Q: this graph connected? O Connected ONot Connected

A: Note that the graph is said to be connected if the pair of any two vertices is connected by a path.

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.

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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: Question 1. Let G be a graph with at least 2 vertices. Prove or disprove: a) Deleting a vertex of…

A: Given that G be a graph with at least 2 vertices. We need to prove or disprove following…

Q: number

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Q: Consider a bipartite graph on the set A = {1,2,3, 4, 5, 6} and B = {7,8,9, 10, 11, 12}, there is an…

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Q: How many non-isomorphic simple graphspre there with 11 vertices, 18 edges, minimum degree 3, maximum…

A: Given, Number of vertices V = 11 Number of edges E = 18 Minimum degree = 3 Maximum degree = 6 Number…

Q: If a simple graph Gis having 12 vertices and 9 edges then its complement graph G will have O 12…

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Q: An edge is called a bridge if the removal of the edge increases the number of connected components…

A: We draw a graph without loop, find number of bridges by removing edges.

Q: 18. What is the maximum number of edges for a simple graph with 8 vertices? O 26 О 31 O 30 28

A: The formula for this I believe is n(n-1) / 2 where n = number of vertices

Q: Draw an undirected graph that has exactly 11 edges and at least 5 vertices, in which two of the…

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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…

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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: How many 4-cycles is the vertex 000 involved in the hypercube Q3?

A: The graph Q3 is the 1-skeleton of a cube and is a planar graph with eight vertices and twelve edges

Q: How many guards do you need for a gallery with 12 vertices?  With 13 vertices?  With 11?

A: Given:   12 vertices   13 vertices    11 vertices

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

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Q: Draw a graph with two loops around vertex e, with end vertices a and f, with multiple edges on…

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Q: Consider a graph G which is a complete bipartite graph. The graph G is defined as K(3,4), meaning it…

A: A complete bipartite graph K(m,n) has two sets of vertices, with m vertices in one set and n…

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

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Q: (b) A planar graph has 10 edges and its dual graph has j edges, for some integer j. What is this j?…

A: Use the properties of planar graph and their dual graphs. Use the relation between the number of…

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…