Determine the sum of the in-degrees and out-degrees of each graph shown in Figure 1. Show the relationship between them and the number of edges in the graph. d d (a) (b) Figure 1

Q: 6. Explain why do the two diagrams at the right represents a same graph? Draw another representation…

A: If there is a line from A to B , then B is Neighbour of A. Similarly , we can draw the table of…

Q: a) 72 b) 36 c) 144 d) 60 Let G be a graph with 12 vertices each of degree 6, then how may edges are…

A: We know that , G is said to be a graph if it has vertex set V and edge set E. We have given that , G…

Q: Find the number of people who live in single family houses. Round your result to the nearest whole…

A: Solution: We are given that the total population of Springfield is 51,800Also, we are given the…

Q: 7. Determine whether the two graphs are equivalent. B D A F E D

A: In this question, we want to know whether the given graphs are equivalent or not.

Q: 6. Determine whether this graph is planar. a b d g h

A: We have to find whether the graph is planar or non-planar.

Q: Let A be the graph a e b d How many walks of length 13 are there between node a and node b? Your…

A: By using adjacency matrix the number of walks between node a and node b of length 13 are : 49661

Q: 7. Which of the following graph is the correct illustration of the notation P(Z b)? А. В. С. D.

A: Z be the standard normal variates  Then the notation :p(z<a)u p(z>b) ?

Q: At a party there were 7 boys and 6 girls. Every boy danced with every girl. Draw the graph…

A: Given: At a party there were 7 boys and 6 girls and every boy danced with every girl. To sketch: The…

Q: a b a lc a bde Ce e

A:

Q: Find the degree of ve Compone Graph A B D. H. Graph D F. E.

A: Graph theory

Q: The number of cycles in the given graph is 2. 1 3.

A:

Q: Consider the following graph: A B E D How many vertices are there? How many edges are there? What is…

A:

Q: Consider the graph below. Find the betweenness of the following edges (a) AB (b) BC (C) DE written…

A: Solution :-

Q: Winite a situation which reflects the given graph. Tme (mn

A: Here, In the graph is shown that object is steadily increase its height and at some point object…

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

A: To identify which graph is Eulerian.

Q: Which graph is a possible representation of y=ax"+bx3+cx-6, where a<0? Select one: a. O b. c. d. At

A: Since we have an given equation  y = a x4 + b x3 + c x -6 , where a &lt;0 we to observe which graph…

Q: raw another representation of the graph that looks significantly different B A. E D.

A: Every graph has several representation. We will try to draw another representation.

Q: For the graph represented by the drawing below, find all edges that are incident on v1. ez e₂ VI…

A: We have to find all edges that are incident on v1.

Q: Consider the following graph. V(G) = {v1, v2, v3, v4},  e(G) = {e1, e2, e3, e4, e5, e6}, E(G) =…

A: we first draw the given graph. the paths from V1 to V4 are as follows1.e1,e5 2.e4  3.e6,e3…

Q: A. Find the number of vertices, the number of edges, and the degree of each vertex of the following…

A:

Q: 2.) Which graph is the daily case for New York?  a. I b. II c. III d. IV

A: Please see the below picture for detailed solution.

Q: V3 e2 v2 e3 e i V6 e4 e8 VA e 5 V I e9 e7 V5 V7

A: In the first graph, there are 7 vertices and 9 edges.  Similarly in the second graph also there are…

Q: B2. a. Draw four graphs such that each graph contains a cycle of length 3, 4, 5, and 6 respectively.…

A: We have to draw four graphs so that each graph contains a cycle of length 3, 4, 5 and 6…

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

A: Consider the two given graph.Let imagine that the edges of the given graph are strings and the…

Q: What is the axis of symmetry of the following graph? O x = 2 X = 3 x = -4 X = -2

A: To find :               The axis of symmetry of the given graph.            The graph of a…

Q: In the graph below, what is the degree of vertex V y X u

A: The degree of a vertex is the number of edges which are connected with that vertex.

Q: Four people play a board game together several times. The graph shows the number of times each…

A: A detailed solution is given below.

Q: Which vertex in the given graph below is refreed to as a pendant? (V1)-(V2) (V3) VA Vs V6 A B D E F

A:

Q: 13. Referring to the following graph. Find the number of Edges.

A:

Q: А F В G E H. C D What is the minimal number of colors for the graph's vertices?

A: Graph coloring is a simplest way of labelling the graph components such as vertices, edges, and…

Q: C) Explain why there cannot exist a simple graph of order 11, where the vertices have degrees 1, 1,…

A: Given: A simple graph of order 11 where the vertices have degrees 1,1,2,2,2,2,3,4,4,6,6.

Q: Consider the following graph. y

A:

Q: Which of the following is another way to represent the graph shown. De

A:

Q: Consider the graph below. Find the shortest path and shortest distance from vertex a to all the…

A: Given graph We need to find the shortest path and the shortest distance

Q: are the endpoints of eg. Based on the graph below, the vertices e3 es ez ea e10 eg es e12 e6 es e7 w…

A: Graph theory

Q: Identify the TWO types of graph that could be used to display the following:

A: Identify the TWO types of graph that could be used to display the following:

Q: The following graph describe by (1,0)

A: Consider the given parabola   Observe that it is a parabola opening left side, with vertex at (1,…

Q: Find the connected components of each graph. (i) G = (V, E). V = {a, b, c, d, e}.  E = ∅   (ii) G…

A:

Q: Draw a picture of the graph G=)V, E), where V={a, b, c, d, e}, E={e_1, e_2, e_3, e_4, e_5, e_6}, and…

A: The set of vertices of the graph is given to be: V=a,b,c,d,e Also, the edges are of the graph are…

Q: Given the graph below: A B D F G H Which of the following are paths in this graph? Select all that…

A:

Q: c) Identify the following graph if it is bipartite or not. Give reasons. A 1B E D

A: Consider the given graph. It has 6 vertices A, B, C, D, E and F and 7 edges AF, FE, ED, DC, CB, BE…

Q: A group of friends is represented by the graph below. An edge connecting two names means that the…

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Q: IKitchen Family Room Livingroom Dining- room Foyer

A:

Q: Draw these graphs. a)       K1,4 b)       W4

A:

Q: find the degrees and neighborhoods for all vertices of the graph a b C d

A:

Q: Consider the following two graphs G1 = {{a, b, c, d, e, f}, {ab, a f, ae, bc, bf, be, cd, cf, df,…

A:

Q: E F Which of the graphs below is the above graph represented differently? A List the vertices…

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Q: What is the number of connected components for each of the following graphs? (a) b a d

A: A connected component of an undirected graph is a maximal set of nodes such that each pair of nodes…

Q: 2. For the given graph, the sum of degrees of all vertices is b h d A) 20 В) 18 C) 16 D) 10

A: