2. Is it possible for a connected graph with 7 vertices and 11 edges to be drawn so that no edges cross to create 4 faces? Explain.

Q: Construct a graph with vertices F, G, H, I, J, K, L that has an Euler path, the degree of L is 1 and…

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Q: . Consider a connected graph on 100 vertices with 99 edges. What's the mallest number of colors you…

A: If there is a connected graph with n vertex and n-1 edges then graph must be a path P(n).  Every…

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

A:

Q: Construct a simple graph that is a tree with vertices P, Q, R, S, T, U, V such that the degree of Q…

A: Given below the detailed solution

Q: construct a graph with vertices Q,R,S,T,U,V,W that has an Euler path and the degree of U is 1 and…

A:

Q: 1. Create a connected graph having 8 vertices and 15 edges. 2. Label vertices with A,B,C,D,E, F,G…

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Q: Draw a simple disconnected graph with 3 vertices.

A: The given problem is related with graph theory. We have to draw a simple disconnected graph with 3…

Q: Construct a connected bipartite graph that is not a tree with vertices U, V,W, X,Y. What is the edge…

A: The bipartite graph for given set of vertices are

Q: Construct a bipartite graph with vertices R, S, T, U, V, W that is a tree. What is the edge set?…

A:

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: What kind of graph (from Table 1) can be used to modela highway system between major cities wherea)…

A: To find- What kind of graph (from Table 1) can be used to model a highway system between major…

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: i. Explain and draw why graphs with the given specifications do not exist. a) Tree, nine vertices,…

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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: 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 a connected planar graph G has 27 vertices. How many edges must G have if there are 16…

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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

A:

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: show that a simple planar connected graph with 17 edges and ten vertices cannot be properly colored…

A: We can solve this using Euler theorem

Q: Can a graph with nine vertices and nine edges exist? Explain wy no such graph exists or draw the…

A: To verify whether a graph with 9 vertices  & 9 edges exist or not.

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: Construct a bipartite graph with vertices A, B, C, D, E, F, G that is a tree. What is the edge set?…

A: Introduction: A unique type of graph known as a bipartite graph that exhibits the following…

Q: 11. Draw a graph with five vertices that is connected and draw a graph with five vertices that is…

A: The connected graphs with five vertices: A graph is called connected if there is a path between…

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: There are 8 vertices namely: A, B, C, D, E, F, G, H Make or draw a graph with 2 loops around the…

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Q: Suppose a graph has vertices of degree 0, 2, 2, 3 and 9. How many edges does the graph have? Provide…

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Q: Construct a graph with vertices P, Q, R, S, T, U that has an Euler circuit and the degree of T is 4.…

A: We know that, Euler Circuit:  A circuit that uses every edge exactly once is called Euler Circuit.

Q: Construct a bipartite graph with vertices I, J, K, L, M, N that is a tree. What is the edge set?…

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

A: Solution:-

Q: Construct a bipartite graph with vertices T,U, V, W, X that is a tree. What is the edge set?…

A: A bipartite graph is a graph whose vertices can be divided into two disjoint and independent sets U…

Q: 17. List all the vertices that are adjacent to vertex A.

A: This question is related to graph and figures, we will solve it using given information.

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

A: Solution

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: Construct a bipartite graph with vertices R, S, T,U, V,W, X that is a tree. What is the edge set?…

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

A: In graph theory, a tree is a connected acyclic undirected graph. Tree with n vertices has n-1 edges

Q: A forest contains 39 vertices and 36 edges. How many connected components does the graph have?

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Q: How many edges are there in a 3-regular graph with 8 vertices?

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Q: 4. Is the graph below bipartite? If so, list the vertices in the one part and the vertices in the…

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Q: Construct a graph with vertices P, Q, R, S, T, U whose degrees are 4, 3, 2, 3, 3, 1 What is the edge…

A:

Q: Construct a simple graph that is a tree with vertices P, Q, R, S, T, U such that the degree of U is…

A:

Q: Construct a 3-regular graph with 10 vertices. Is it possible to have a 3-regular graph with 15…

A: 3-Regular graph with 10 vertices

Q: Construct a simple graph with vertices N,0, P,Q, R, S whose degrees are 5, 1, 2, 3, 3, 2 What is the…

A:

Q: Is it possible to have a connected graph with six (6) vertices of degrees 1, 1, 2, 2, 2, and 3? If…

A: in a connected graph, the sum of degree of all the vertices is twice the number of edges. therefore…

Q: How many possible graphs can be created on 5 distinct vertices?

A: Consider a graph of n vertices.The line connecting any two vertices of a graph is called as an edge…

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

A:

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…