Let a graph have vertices S, T, U, V, W,X, Y and edge set {{S, V}, {S, X}, {U, W}, {U,X}, {V,X},{V, Y}, {X, Y}} a. What is the degree of vertex W ? b. What is the degree of vertex U? c. How many components does the graph have?

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: 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1

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Q: Given a graph defined by the following vertex set and edge set, V={A,B,C,D,E,F) E=(AB,BC,BE,…

A: Introduction: The link between lines and points is described by a graph, which is a mathematical…

Q: In the graph to the right, which vertex(vertices) is(are) adjacent to vertex C? D. B. .... Choose…

A: Graph: A graph is defined as G = (V, E) Where V is a set of all vertices and E is a set of all edges…

Q: Let G = (V, E) be a graph with V = {a, b, c, d, e, ƒ} and E = {{a,b}, {a, d},{a, c}, {c, b}, {e, b},…

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Q: Let G = (V, E) be the undirected graph described below and let E' = {(A, F), (F, D), (F, H), (A,…

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Q: Q#5. Consider the set of vertices V(G) = {A, B,C, D, E, F} and the set of edges E(G) = [{A, B},…

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Q: In exercises, a through d, give V, the set of vertices, and E, the set of edges for the graph G. d…

A: Since the question has 4 parts, we are supposed to answer only 2 parts. So solution is given for a…

Q: Consider the following graph G(V, E) where: • The set of vertices V: {1,2,3, 4, 5, 6, 8, 10, 15} •…

A: Given that,  The vertices are, V=1,2,3,4,5,6,8,10,15 The edge is, E=(a,b)∈V:|a-b|≤3 The objective is…

Q: 1) Determine whether the graph shown has directed or undirected edges, whether it has multiple…

A: Directed graph: A directed graph is a graph in which all the vertices are connected together, where…

Q: Construct a simple graph that is a forest with vertices B, C, D, E, F,G such that the degree of D is…

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Q: Find the strongly connected components of this graph? * b O {a, b, c, d, e, f, g, h}. None of them.…

A: Answer : {a, b, c, d, e, h}, {f}, and {g}. Hence, option (vi) is correct.

Q: Please draw the following graph Vertex Set: {v1, v2, v3, v4, v5} Edge Set: { e1 = {v1, v3}, e2 =…

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Q: A connected planar graph has an equal number of vertices and faces. If there are 20 edges in this…

A: A connected planar graph has an equal number of vertices and faces. If there are 20 edges in this…

Q: determine whether the given graph is planar. If so, draw it so that no edges cross. 6. а b. 7. b. d…

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

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Q: Given the following data, draw the directed graph it describes. E = {A, B,C, D} ÷+ V = {a,b, c, d,…

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Q: 7. Please A. Draw the following graph B. Label any parallel edges Vertex Set: {v1, v2, v3, v4, v5,…

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Q: C b a What is the graph's vertex set V? V = { Ex: W, X } What is the graph's edge set E? E = { Ex:…

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Q: a. Let V = (x, y, z, u, v). How many di exactly 6 edges? (Note that for graphs G₁ = (V, E₁) and G₂ =…

A: (a) We are given that the set of vertices is V=x, y, z, u, v. We are asked to find the number of…

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: Represent the following with a graph. Which vertices are adjacent to vertex C in the graph? A B. O A…

A: In a graph, two vertices are said to be adjacent, if there is an edge between the two vertices. i.e.…

Q: 3. subway system in a large city. Should edges be directed or undirected? Should multiple edges be…

A: As per our guideline we are supposed to only one question rest can be reposted.

Q: The edges in a graph can be drawn as straight or zigzag lines. Select one: O True O False

A: A graph is a collection of edges and vertices. Any two vertices can be joined either by straight…

Q: This graph G is shown below with the circles representing the vertices labeled A, B, C, and D. Which…

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Q: G2. Draw a graph with the set of vertices V = {a, b, c, d} and the set of edges E = {{b, c}, {c, d},…

A: Degree of a vertex:The degree of the vertex is the number of edges containing it.

Q: Let a graph have vertices q, r, s, t, u, v and edge set {{q, s}, {r, v}, {s, v}, {t, u}} . On paper,…

A: Given: A graph has vertices q, r, s, t, u, v and edge set q, s, r, v, s, v, t, u. To find: a) Degree…

Q: Indicate if each of the two graphs are equal. a b a a bde d e e |c d (a) Figure 1: Left: An…

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Q: Answer the questions in (a)-(g) for the following graph. (Enter your answers as comma-separated…

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Q: 16. How many edges has each of the complete graph Kso? A. 1235 B. 1245 C. 1225 D. 2450

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Q: If a connected graph with 12 edges splits the plane into 4 regions, then how many vertices should…

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Q: Indicate if each of the two graphs are equal Figure 3: An undirected graph has 5 vertices. The…

A: To Find: Indicate if each of the two graphs are equal

Q: Let a graph have vertices M, N,O, P,Q, R, S and edge set {{M,R}, {N,O},{O, S}, {P,R},{Q,R}, {R, S}}…

A: Hello. Since your question has multiple parts, we will solve the first three parts for you. If you…

Q: The graph G is shown below with the circles representing the vertices labeled A, B, C, and D. Which…

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Q: Given the following data, draw the directed graph it describes. E = {A, B,C, D} V = {a,b, c, d, e} E…

A: A directed graph (or digraph) is a set of nodes connected by edges, where the edges have a direction…

Q: Draw a graph with six vertices and two bridges. A. OB. A B Ce D E E D. OC

A: Concept:We know Bridge is an edge whose deletion increases the graph’s number of connected…

Q: Let a graph have vertices i, j, k, l, m, n and edge set {{i, j}, {i, m]}, {i, n}, {j, k}, {j, m},…

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Q: Construct a graph with vertices S, T,U,V whose degrees are 2, 0, 2, 2 What is the edge set? ST SV TV

A: Given: The vertices S, T, U, V and the degrees are 2, 0, 2, 2. To find: Graph the vertices, using…

Q: G2. Draw a graph with the set of vertices V= {a, b, c, d) and the set of edges E= ({b, c), {c, d),…

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Q: 2. Draw a graph with the following vertex and edge sets: (a) V = {a, b, c, d, e, f} and E = {ac, ad,…

A: (a). Given V = {a,b,c,d,e,f} and E = {ac,ad,ba,ef,dc,de} By using these graph is given by

Q: Let a graph have vertices n, o, p, q, r, s, t, u and edge set {{n,o}, {n,q}, {n,r}, {n, s}, {n, u},…

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Q: For the cube graph , the distance between two vertices a=(a1,a2,...,an) and b=(b1,b2,...,bn) is…

A: Define XOR operator such that: x⊕y denotes bitwise XOR operator of x and y.  Thus, if x=x1,x2...xn…

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 vertex set, edge set, and endpoint table below, graph and label the following gr V(G) =…

A: the vertex set is  given and the edges are given

Q: Which of these graphs have the property that the removal of any vertex and all edges incident with…

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Q: . Show that if D(a,b) and D(b,c) have the same parity (i.e., are both even or are both odd), then…

A: We will answer the first question as we only answer one question at a time. Please resubmit the…

Q: 1. Draw the graphs whose vertices and edges are as follows. In each case write if the graph is a…

A: We will solve both parts

Q: Given a graph defined by the following vertex set and edge set, V={A,B,C,D,E, F) E=(AB,BC,BE,…

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Q: Consider the following graph G(V, E) where: • The set of vertices V: {1,2, 3, 4, 5, 6, 8, 10, 15} •…

A: Given: The set of vertices V: {1, 2, 3, 4, 5, 6, 8, 10, 15}           The set of edges E: {(a,…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.