(a) Draw a simple graph (no loops or multiple edges) with vertex degrees 3,3,3,3,4,4,4,6. (b) How many edges does its complement have? Explain.

Q: Look at the following schematic of some islands (A, B, and D) in a lake with bridges connecting them…

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Q: 4. Write the equation for the piecewise graph below. Be sure to show your work clearly and legibly…

A: Here I am attaching image so that you understand each and every step.

Q: Is it possible for a graph with 35 vertices and 100 edges to be planar? O Yes O No

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

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Q: 3. In the following, draw a graph having the given properties or explain why no such graph exists.…

A: To find- In the following, draw a graph having the given properties or explain why no such graph…

Q: (-3.3) 7 6 5 4 3 2 (-3,2) 1 -6 -5 -4 -3 -2 -1 -2 -3 -4 -5 -6 7 1 2 3 4 5 6 7 (2)

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Q: (a) Let G be a simple k-regular graph with n vertices and six edges. What are all possible values…

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Q: Construct a simple graph with vertices T, U, V, W, X, Y whose degrees are 2, 2, 1, 1, 2, 2 What is…

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Q: Don't use chat gpt It Chatgpt means downvote

A: Step 1: Step 2: Step 3: Step 4:

Q: What kind of symmetry do the graphs have, if any?

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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: 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: what is a separating And give or vertex cut of a graph ? example. an

A: In a commA separating set or vertex cut of a graph G is a set S which is subset of vertex set of G…

Q: Suppose that we have a graph with at least two vertices. Show that it is not possible that all…

A: Suppose, we have a graph with at least two vertices.

Q: can yoyu do this without a graph by doing the math itself?

A: As per the description we have to solve the given problem without using any graphs.

Q: 12) Use the graph to find the value (0,5) (2,5) (4,3) (4,1) -4 -1 1 3. Find a. g(1) + g(-4) b. g(-1)…

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Q: Determine the sum of the in-degrees and out-degrees of each graph shown in Figure 1. Show the…

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Q: i. Write down Simpson's 1/3 rule and hence use it to evaluate the double integral а. 1.9 -3 sinhx…

A: Solution :-

Q: Construct a graph with vertices R,S,T,U whose degrees are 0,0,1,1. What is the edge set?

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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: Sketch a contour map of f(x, y) = y - x², labeling the value of f on each contour. Then fill in the…

A: Given the function fx,y=y-x2. The contours are given by y-x2=c, for c∈ℝ. Let us take integer sample…

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

A: Solution:-

Q: A) Draw graph G with vertex set V (G) = {V₁, V2, V3, V4, V5, V6, V7} and edge set E (G) = {V₁V4, V₁…

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Q: What are the vertices of ARUVafter being translated 2 units nght and 2 units down? Graph

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Q: b a d e g

A: To find the circuits with in the graph

Q: 3 7 2 8 6 (ii)

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Q: Construct a graph with vertices A, B, C, D, E whose degrees are 1, 1, 1, 0, 1 What is the edge set?

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Q: (c) The complement of the graph:

A: The complement or inverse of a graph G is a graph G¯ on the same vertices such that two distinct…

Q: (6) Check whether it is possible to draw a connected regular graph with odd number of edges and…

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