By duplicating only 2 edges, Eulerize the following graph:

Q: The number of edges in a graph with 10 vertices each of degree 5 is

A: A graph G is a pair (V,E), where V is a finite set of vertices and E a finite set of edges. We can…

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: How many edges are in this shape?

A: We have to find the edge of the figure.

Q: Can a graph have 17 vertices where every vertex has either degree 1 or degree 3 or degree 5? Yes or…

A: Given  A graph with17 vertices  we have to prove that can a graph have 17 vertices where every…

Q: How many edges would a connected planar graph if it has 13 vertices and 9 faces?

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Q: If a graph has 5 edges, how many vertices does it have?

A:

Q: Each node can have at most n=v number of edges. (True means Doğru; False means Yanlış) Birini seçin:…

A: Result: 1. The maximum number of edges in an undirected graph is n(n-1)/2. 2. The maximum number of…

Q: For parts (a) and (b) below, find an Euler cireuit in the graph or explain why the graph does not…

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Q: b. a. d. c.

A: Solution:

Q: Can the following graphs drawn in plane without edge crossings? a

A: Given: Graphs, To determine: Whether the given graphs can be drawn without crossing.

Q: cted edge that has the sr two or more edges have ck anyone.) riving at the next vertex

A: Given as,

Q: Count the number of vertices, edges, and faces, and then verify Euler's Formula for the given graph.

A: Given the graph we have to calculate the number of vertices, edges and faces then verify the Euler’s…

Q: 22.

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Eulerize this graph in the most efficient way possible, considering the weights of the edges. 2 2 2…

A: A graph is Eulerian if all the vertices are of even degree.

Q: (b) a)

A: (a) The new Eularian graph is shown in the figure given in step 2.

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: Suppose a (simple) graph G = (V, E) is regular with odd vertex degree. Prove that the number of…

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Q: Find an Euler Circuit for the following graph. Start and finish at the star

A:

Q: What is the most edges a graph can have if it has p vertices and has a bridge?

A: Given: A simple graph with p-vertices.

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

A:

Q: If a planar drawing of a graph has 13 edges and 4 vertices, faces

A: Given a Planar Graph: Edges = 13 Vertices = 4 Faces = ? Planar Graphs: When any connected graph can…

Q: Find the sum of the degrees of the vertices of each graph in Exercises 1–3 and verify that it equals…

A: Given graph is

Q: Suppose we are told that a connected graph cuts the plane into 211 regions. How many more edges than…

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

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Q: If you reverse all the edges of a directed graph, the strongly connected components remain the same.…

A: STATEMENT: If we reverse all the edges of a directed graph , the strong connected components remain…

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: Eulerize the following graph using the Edge Walker method:

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

A: Solution:-

Q: Construct the underlying undirected graph for the graphwith directed edges

A: Given: A directed graph G, To sketch: Underlying graph of given graph.

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: Given an acyclic graph G = (V, E) return the longest path from two connected vertices: u, v. Prove…

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Q: If a graph has 8 vertices with odd degree (valence), what is the smallest number of edges that would…

A: Solution is done in step 2

Q: If a graph has 5 vertices then 'By the Handshaking Theorem', each vertex can have degree 9. True…

A: Given: Statement: If a graph has 5 vertices then by handshaking theorem, each vertex can have degree…

Q: The number of edges in a graph with 11 vertices each of degree 4 is 44 O 22 O 8 O 10

A: Graph - number of edges

Q: At the end of the party with n people, everybody knows everybody else. Draw the graph representing…

A: Here, number of people are n. So, the number of nodes in the graph will be n.

Q: Construct a simple graph with vertices F, G, H, I,J that has an Euler circuit and the degree of F is…

A: A graph is said to be simple if it has no loops and parallel edges. Degree of a vertex of a graph is…

Q: determine thesum of the in-degrees of the vertices and the sum of theout-degrees of the vertices…

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

Q: Consider the graph H below. Does H have an Euler circuit? If one exists, explain why, and then label…

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Q: If a graph has 12 vertices with odd degree (valence), what is the smallest number of edges that…

A: At least 6 edges would have to be needed. You would want to add an edgeto each vertex that has odd…

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

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Q: b) Determine whether there is an Euler trail from vzto V6 in the following graph. If there is, find…

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Q: Find the sum of the degrees of the vertices of each graph in Exercises 1-3 and verify that it equals…

A: We know that, Degree of vertex is the number of edges passing through that vertex. We need to…

Q: In order to eulerize the graph below, give the fewest number of edges that need to be duplicated. a…

A: Label the vertices of the given graph. Next we use the process of eulerization of the graph by…

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: Construct a graph with vertices U,V,W,X,Y that has an Euler path, the degree of U is 1 and the…

A: We Know that  An Euler path is a path that uses every edge of a graph exactly once.   We have to…

Q: Find the number of edges for each of the following graphs. a. Kn b. Km,n

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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: The graph with edges AC and BD is a connected graph. True False

A: We have to find , the graph with edges AC and BD is a connected graph or not.

Q: A graph has vertices of degree 1,2,3,3, and 8. How many edges does it have?

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…