1. What's the max number of edges you can put on 6 vertices without creating any triangles?

Q: QUESTION 14 Total number of edges of a complete graph which has 9 vertices is None 36 edges 12 edges…

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Q: What is the maximum number of edges in a bipartite graph having 10 vertices? 1. O 25 2. O 16 3. O 24…

A: Option (1).25 is the correct.To solve this we use the property of bipartite graph.

Q: 2. Show that there is no simple graph with six vertices of which the degrees of five vertices are 5,…

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Q: Show that the maximum number of edges in a graph with n-vertices is *C2 (d)

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Q: What is the maximum number of edges you can have in a graph with 7 vertices? Show all steps of your…

A: A simple graph does not have loops (edge from a vertex to itself). For this question, we will…

Q: How many vertices will a graphs have if it contains 16 edges and all vertices of degree 2

A: Let G be a graph having 16 edges and all vertices having degree 2

Q: If a graph has 8 edges, how many vertices does it have?

A: We have to solve given problems:

Q: 5.1. Explain how graphs can be used to model electronic mail messages in a network. Should the edges…

A: # we are entitled to solve only question at a time, please resubmit the other question if you wish…

Q: 4. Find the number of edges in a circulant graph C'irc[n, k]. In mathematica you can explore these…

A: In circulant graph Circ n,k total number of vertices are n. And connectivity of the graph is k.

Q: d. A graph with four vertices and six edges which is not simple (explain why it's not simple).

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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: Construct a simple graph with vertices L, M, N, O, P, Q whose degrees are 1, 2, 4, 3, 4, 2 What is…

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Q: Suppose you colored edges of a graph either red or blue (not requiring that adjacent edges be…

A: According to the given information, Let the edges of the graph be coloured with red or blue. It is…

Q: A graph with eight vertices and seven edges is not connected. True False

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Q: Show that the average degree of a vertex in the triangulation is strictly less than 6.

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Q: Explain why graphs with the given specification do not exist. 1. Tree, twelve vertices, fifteen…

A: A tree on n vertices had n-1 edges.

Q: 1) How many possible ways are there to match or pair vertices between A and B?

A: For any queries please let me know through comments. I will try to reply ASAP! Please upvote if…

Q: A graph with 4 edges, has with degree 4 , a verlex with degree ! ļ' and What is the degree of the…

A: Given, A graph with 4 edges has a vertex with degree 4, a vertex with degree 1, and one more vertex

Q: A pyramid has 157 vertices, how many edges does the pyramid have?

A: A pyramid has 157 vertices, how many edges does the pyramid have?

Q: What is the Pru fer code for a simple path whose vertices are numbered in increasing order (i.e., 1…

A: The complete solutions are given below

Q: Show a Hesse diagram with 5 nodes {1, 2, 3, 4, 5} and 4 edges that has exactly three topological…

A: Given nodes are 1,2,3,4,5 with 4 edges. We know that a topological sorting for a directed acyclic…

Q: What are the edges incident on v2? (b) What are the vertices adjacent to v2 ? (c) What are the…

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Q: How many edges are in the Hasse diagram that represents the poset ( {1, 3, 4, 6, 8, 12, 16, 18), I…

A: Solution

Q: If a planar graph has 18 vertices and 26 edges, how many regions are determined when you draw t…

A: If a connected planar graph G has e edges, v vertices, and r regions, then v-e+r=2. Here,  v=18,…

Q: what is the number of edge of Harary graph? explain to me

A: Solution:-

Q: 7) A) What is the number of faces? B) What is the number of vertices? C) What is the number of the…

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Q: The number of edges in a graph with 8 vertices each of degree 5 is 10 O 20 O 7 O 40

A: We have to determine the number of edges in the graph with 8 vertices of degreee 5 .

Q: ou are working in an organization and it's your primary responsibility to understand the below graph…

A: An edge e is said to be incident on a vertex v if e has one of its endpoints as v. In the given…

Q: How tall would a player have to be to in order to be considered an outlier? How short would a player…

A: The given data consists heights.

Q: 10. Describe a graph model that represents whether each employee at a company gathering knows the…

A: According to question given :We have to describe the graph model that represents whether…

Q: If a planar graph has 18 vertices and 26 edges, how many regions are determined when you draw t…

A: We have to solve given problem:

Q: This refers to the number of edges incident to a particular vertex. Answer:

A: Explanation of the answer is as follows

Q: is The number of edges in a complete bipartite graph K5 O 15 O 20 O 30 O 10

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Q: What is the smallest number of colors you need to properly color the vertices of a Km,n graph? What…

A: Consider the lemma: A bipartite graph with at least one edge has chromatic number 2. It is known…

Q: Draw the graph of four-dimensional cube. How many edges and vertices are there?

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Q: If a graph with six vertices is embedded in S?, what is the maximum number of edges it can have.…

A: Consider the provided question, A graph G is embedable on S2 if it is embedable on a plane. Since,…

Q: What is the number of vertices in an undirected connected graph with 27 edges, E vertices of degree…

A: Introduction: The handshaking lemma asserts that when a group of individuals shake hands, an even…

Q: Draw a complete graph using five vertices a, b, c, d, e.

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Q: QUESTION 11 Total number of edges of a complete graph which has 9 vertices is None 18 edges 12 edges…

A: The total number of edges in complete graph of n vertices are (n(n-1))/2

Q: If a graph has 14 vertices with odd degree (valence), what is the smallest number of edges that…

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Q: 4.Suppose the city of Königsberg had the arrangement of islands and bridges pictured on the left…

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Q: How many edges will you have in a complete graph made of 40 vertices? Show all steps of your…

A: We have to find the number of edges will you have in a complete graph made of 40 vertices. Use…

Q: What is the minimum number of connected components in the graphs with 18 vertices and 9 edges?

A: If a graph has n vertices and k edges , then the minimum number of connected components in the graph…

Q: What is the minimum number of colors you need to color the vertices of this graph such that if two…

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Q: By duplicating only 2 edges, Eulerize the following graph:

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Q: How many edges are there in a 3-regular graph with 14 vertices?

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Q: How many edges are there in a tree with 10 vertices?

A: Note: “Since you have asked multiple questions, we will solve the first question for you. If you…

Q: give 5 graphs with a bond: with I edge 2 edge 3 edğe 4 edge 5 edge

A: To draw the graph with 1 edge, 2edges , 3 edges, 4 edges, 5 edges

Q: What is the number of edges in a tree with 13 vertices?

A: given          there are 13 vertices in a tree          and we have to find numbers of edges in a…