Q#5. Consider the set of vertices V(G) = {A, B,C, D, E, F} and the set of edges E(G) = [{A, B}, {B,C},{A, D}, {D, E}, {E,F},{B,E},{C,E}, {C,F}]. Draw the graph G and find the degree of each vertex. Also find all simple paths and all trails from the vertex A to F

Q: 43.) What is the vertex of the graph y = | x | - 6? a. (-6,0) b. (0,6) c. (6,0) d. (0, -6)

A: Consider the standard form y = |x-a| + b Here, the vertex is (a,b)

Q: Consider the graph G with V(G) = {a, b, c, d, e, f} and E(G) = {ac, bf, cd, ce, df}. Enter the value…

A: Given: Graph, G with VG=a, b, c, d, e, f and EG=ac, bf, cd, ce, df.To find: cG4

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},…

A:

Q: 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 10 10 1 0 1 0 1 0 (b) Figure 3: An undirected graph has 5 vertices.…

A:

Q: Q2D. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {[a, b},…

A:

Q: Let a graph have vertices K, L, M, N, O, P, Q, R and edge set {{L, M}, {L, O}, {L, P), (L, R}, {M,…

A: Given that a graph have vertices  and following edge set..We need to find the degree of vertices .We…

Q: 1. Define the following : Graph i) i) iii) iv) k-regular v) Bigraph Trail Girth

A: NOTE- As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 2 4 3 2 5 2 4 3 3 3 1. List down the adjacent vertices of vertex 'c'. *Write your answer in…

A:

Q: 20. Use the graph of y² = 9x + 9 to determine what type of symmetry the graph displays. 3r

A:

Q: Let G = ({1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}, {(1,2), (1,3), (1,4), (1,6), (5,6), (6,9), (6,10),…

A: Given that G=({1,2,3,4,5,6,7,8,9,10,11},{(1,2),(1,3),(1,4),(1,6),(5,6),(6,9),(6,10),(6,11)}) is an…

Q: 2. Draw a picture of the graph G specified as follows: Vertex set = {V1, V2, V3, V4, V5} Edge set =…

A:

Q: c) Represent the graph |zi| = |z + il

A:

Q: For parts (a) and (b), indicate if each of the two graphs are equal. Justify your answer. (a) a d b…

A: Let,  set of vertices, and  set of edges.The given figures are:Let's denote the graph of the given…

Q: Let G(r, s) be the graph with vertex set V= {(a,b) e Zx Z|1<a<r,1<b<s} and edge set = {(a,b), (c,…

A: Given G(r, s) is a graph with vertex set V={(a, b) ∈ℤ×ℤ| 1≤a≤r, 1≤b≤s} and edge set E={{(a, b), (c,…

Q: The figure below shows a directed graph G: 3 4 Which edge is not in G 3. О а. (1, 3) O b. (2, 3) О…

A: From the given graph of G it is observed that G have following edges (1,3), (3,1), (1,4), (4,2),…

Q: Q10B. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f, g} E = {{a,…

A:

Q: 5. Draw a directed graph for the relation with coordinate pairs (a, b), (a, d), (b, b), (b, d), (c,…

A:

Q: Consider the graph given below. u X 9 a. What is the degree of vertex t? b. What is the degree of…

A:

Q: c) Represent the graph |z-412 |z|

A:

Q: Show that for any planar graph, v-e+f=2. v=vertices e=edges f=faces

A:

Q: Use the graph and the translation (x,y) → (x+4y+5) to answer parts a and b below. a. Enter the image…

A: Mark the all three vertices of on graph.Given data

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: . Draw a graph with 4 vertices each of degree 2.

A:

Q: Consider the graph with the vertex set y (G, H,0,S,T} and the edge set E= {GH,GS,GT, HO,OT, ST).…

A: First we draw the graph from given vertex set and edge set.  Definition : In a graph, two edges are…

Q: 1. Let a graph have vertices s,t,u,v,w,x and edge set {{s,u},{s,w},{t,w],{t,x},{w,x}}. How many…

A: 1. For given graph G  Vertex set is G(V) = {s,t,u,v,w,x} Edge set is G(E) =…

Q: 5. Complete the solution from item 4 and find the minimum spanning tree using Kruskals algorithm.…

A:

Q: The figure below shows a directed graph G: 1 3 2 4 Which edge is not in G 3. Оа. (1, 3) O b. (2, 3)…

A: Correct ans is option D

Q: Q12 Consider the graph G below: a b e d Now consider the graph G' created by removing the edge from…

A:

Q: I need help to answer the box letter in the graph. Please help me. C Consider the graph G: A Which…

A: The given graph G has no vertex of degree 1, but the graph in option (A) has a single degree (i.e.,…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.