1. What is the diameter of the cycle C13? What is the diameter of the cycle C14? 2. What is the diameter of the path Pg? 3. What is the diameter of the compelte graph K5?

Q: Consider the star graph ?? of order n, n-star, which is a tree on n vertices with 1 vertex having…

A: Given Sn is the star graph. According to Bartleby the solution to the first three questions is given…

Q: Determine the equation of the circle graphed below. 12 11 10 -1, 7) 6. 5 4 (-3, 3), 3 2. -12-11-10…

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Q: b. a. d. c.

A: Solution:

Q: A Triangle Graph, Tn, is a graph where there are n vertices beside each side of a triangle. Thesen…

A: If n is the number of vertices in a graph,Then the number of edges is C2n=n(n-1)2…

Q: 1. How many 4-regular graphs are there 10 vertices with 30 edges?

A: A graph is called 4-regular if degree of every vertex in graph is 4. If there is a 4-regular graph…

Q: Determine the equation of the circle graphed below. 12 11 10 (1, 8) 7 6. (-3, 4). 4 1 -12-11-10 -9…

A: Equation of circle : x2+y2+6x-8y-7=0

Q: Here are two new definitions about graphs. The distance between two vertices in a graph is the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Can you do the graph for part B of the quuestion?

A: As per the question we are given a wave equation and we have to plot its solution u(x,t) vs x for t…

Q: Based on the graph below, which of the following statements is FALSE? B E А. The graph is…

A: To find - Based on the graph below, which of the following statements is False ? The graph is…

Q: Determine the equation of the circle graphed below. 12 11 10 6. 8 7. 6. -12-11-10 -9 -8 -7 -6 -5 -4…

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Q: Prove that any planar graph must have a vertex of degree 5 or less.

A: Let GV,E is a planar graph. To prove: G must have a vertex of degree 5 or less I am showing this…

Q: 1. Show, by drawing, that the following graphs are planar: (11) the graph of the octahedron.

A: Solution :-

Q: 2 3. 4. A -3

A: From the given Graph A = (-4, -2) B = (4, 4)

Q: Determine the equation of the circle graphed below. 12 11 10 9. 6. (9, 5) 4 (5, 2). 2 1…

A: To determine the equation of a circle from the graph in which the point is given

Q: E D Consider the graph given above. Add an edge so the resulting graph has an Euler path (without…

A: An Eulerian trail is a trail in a finite graph that visits every edge exactly once. Similarly, an…

Q: Show, by drawing, that the following graphs are planar: the wheel W5;

A: The graph of W5 is in next step

Q: In the graph below, is it possible to find an Euler path? Circle one: YES NO If yes, describe the…

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Q: ior the 2 graphs below: Which graphs have an Euler circuit? For graph(s) with Euler circuit, write…

A: The Euler path of a graph is the path that passes through each edge exactly once. The Euler circuit…

Q: Which graph is Eulerian? А. D С. D. H. B.

A: To identify which graph is Eulerian.

Q: K H L Consider the graph given above. Give an Euler trail through the graph by listing the vertices…

A: Euler trail If there exists a trail in the connected graph that contains all the edges of the graph,…

Q: Consider the graph given above. Give an Euler trail through the graph by listing the vertices in the…

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Q: a) Given a graph as shown in Figure 6. a b Figure 6 i. Verify that the number of vertices of odd…

A: Degree of vertex v of a graph G is the number of edges incident on it and is denoted by d(v) A path…

Q: Determine the equation of the circle graphed below. 12 11 10 6. 8. (-4, 7) 6. (-6, 4), 3 1 -12-11-10…

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Q: Determine the equation of the circle graphed below. 12 11 10 (7.9) 7. (6.6)o 4. -12-11-10-9 -8-7-6-5…

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Q: Consider the following. (a) Give the number of edges in the graph. | edges (b) Give the number of…

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Q: C/ Discuss the following graph is Euler or not

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Q: Show that the two drawings represent the same graph by labeling the vertices and edges of the…

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Q: A) Which of the following graphs has vertices that all have even valences? B) Circle odd vertices.…

A: A) If the degree of a vertex is even (that is, the no. of edges ending at that vertex), then that…

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

A: Remark: A graph has an Euler circuit if and only if the degree of every vertex is even. Given: a…

Q: Determine the equation of the circle graphed below. 12 11 10 9. 8. 6. (о, 1) -12-11-10 -9 -8/7 -6 -5…

A: We are given a circle with centre at (-3,-3) and the circle also passes through (0, 1). We are…

Q: The Euler's formula v - e + f = 2 holds for all connected planar graphs. What if the graph is not…

A: The formula for multiple connected component c is, v +f = e + c + 1

Q: Determine the equation of the circle graphed below. 12 11 10 (-5, 9) 6. 8 (-6, 6), 7 -12-11-10-9…

A: standard equation of circle (x-h)2+(y-k)2 = r2  center (h,k)  radius =r

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

A: Given, the graph

Q: The graph given below can described as Choose as many that applies. A. Disconnected B. Connected…

A: To get the correct answers, we need to check each option one by one. For this, first, we will give…

Q: Which of the following is/are  non-Eulerian graph? a. Graphs B C D ONLY b. Graphs B C D E c.…

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Q: QUESTION 15 The of a vertex is the number of edges along the unique path between it and the root.…

A: The level of a vertex is the number of edges along the unique path between it and the root.

Q: 3. An epicycloid is the path traced by a fixed point on a circle of radius B as it rolls around the…

A: I have matched the epicycloid and hypocycloid with their corresponding alphabetic figure Number.

Q: QUESTION 15 The of a vertex is the number of edges along the unique path between it and the root .…

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Q: What kind of symmetry do the following graphs have, if any? (3) (4) 1. (5) (6)

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Q: Determine the equation of the circle graphed below. 12 11 10 8. ((о, 5) 4 (-3, 2). 2 1 -12-11-10 -9…

A: Given figure is  where center of circle is (h, k)=(-3, 2).

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

A: Euler Circuit:- It is a circuit that uses every edge in a graph with no repeats. Being a circuit, it…

Q: Determine the equation of the circle graphed below. 12 11 10 8 6 (8, 5) (5, 4). 4 1 -12-11-10 -9 -8…

A: A circle is the locus of points in two-dimensional space which are equidistant from a fixed point.…

Q: 2. Recall your knowledge of planer/bipartite/m-color graph and attempt the following questions: a.…

A: A planar graph is a graph that has no two edges crossing each other. That means the edges of the…

Q: 40 The above graph is planar OTrue OFalse

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Q: a. Assume that graph G has 6 corners with degrees 1, 2, 2, 3, 3, 5 (i) How many edges does G have?…

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Q: Find the chromatic number of each of the following graphs. Give a careful argument to show that…

A: The given graph is:

Q: For each graph below, find an Euler trail in the graph or explain why the graph does not have an…

A: Let, G (V,E) be the given graph V =[ a ,b ,c ,d ,e , f ] E =[E1, E2 ,E3 ,E4 ,E5 ,E6 , E7 ,E8 ,E9 ,…

Q: What is the chromatic number of the following graph? A H D E F

A:

Q: Use the figure below to answer the following question. Graph 1 Graph 2 Graph 3 Graph 4 10) Which…

A: If there exists a walk in the connected graph that visits every edge of the graph exactly once with…

Q: The graph given below can described as Choose as many that applies. A. Disconnected B. Connected…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.