a) Suppose Graham's scan executes n points, where n >= 3. Prove that, at the end of the S consists of, from bottom to top, exactly the vertices of convex hull in counter-clockwise order. program, the

Q: Let S be a set of n lines in the plane such that no two are parallel and no three meet in the same…

A: Let S be a set of n lines in a plane such that notwo are parallel and no three meet in the same…

Q: If there is a non-singular matrix P such as        P-1AP=D  , matrix A is called a diagonalizable…

A: In NumPy eigenvalues and eigenvectors are calculated by using the linear algebra library of NumPy.…

Q: (c) You are given a directed graph G where all edge weights are positive. Given two vertices s and t…

A: Оne  аlgоrithm  fоr  finding  the  shоrtest  раth  frоm  а  stаrting  nоde  tо  а  tаrget  nоde  in…

Q: 2. Calculate the transition matrix of the random walk in the following graphs and find n 2 1 such…

A: Calculate the transition matrix of the random walk in the following graphs and find n>= 1 Such…

Q: 4- if q- (1 5 6 8 3 2 4 5 9 10 11,x-[ 3 5 7 8 3 1 2 4 11 5:9). then: a) find elements of (q) that…

A: BELOW STEP BY STEP COMPLETE PROGRAM INCLUDED WITH COMMENTS AND SCREENSHOT OF OUTPUT :

Q: or the following figure, give the order of the explored vertices in case of using Depth First Search…

A: Here in this question we have given a graph and we have asked to apply DFS on this.and find order of…

Q: A graph is represented as an adjacency matrix A, where A[i,j] = 1 denotes that there is an…

A: A graph represent adjacent matrix A where A[i,j]=1 denotes that undirect edge between vertex i and j…

Q: the following image

A: Magnitude: Magnitude is calculated by the change in gradient x and gradient y. Gradient x = Gx…

Q: Find the area common to the circles x2+y2=4 and x2+y2=4x. Graph it

A: Finding the area that is shared by two circles is an idea that is used a lot in computer science,…

Q: Prove whether the following graphs G and H are isomorphic or not? 2 3 f 6 5 G b. H

A: Graph: A graph is a set of vertices V that are connected using the edge E.   Isomorphic graph: In…

Q: 2. Use Warshall's to get the transitive closure for the following graph. Show all 5 R matrices,…

A: Using the adjacency matrix, Warshall's approach may be used to find the transitive closure of a…

Q: 4- if q=[1 5 6 8 3 2459 10 11,x=[ 35783124 11 5 91. then: a) find elements of (q) that are greater…

A: 1. In matlab if we want to filter data based on condition we can use condition in index and that…

Q: Using the included sketch below; where you would expect to be able to visually identify the…

A: Differences between Phong Shading & Gouraud Shading are :          Gouraud Shading…

Q: 1. Consider the input graph 5 1 3 7 4 2 6 where vertices are labeled with their weights. What are…

A: Here given a input graph: ========================================================== Answer 1: given…

Q: a d b a) Give the vertex set of the G. b) Give the set of edge of G. c) Find the degree of each of…

A: In this question we have been given with the graph and we have to answer for the graph theory…

Q: Implement a Matlab routine, titled Qstar.m that outputs the product Q'b, given the input of a…

A: function y=reversal(v)     y=[];    if length(v)==1        y=v(1);    elseif length(v) > 1…

Q: Write tests performed on the vertices of polygon edges by Sutherland Hodgeman Polygon Clipping…

A: Sutherland Hodgeman Polygon Clipping Algorithm: By calculating its limit overall against the other…

Q: 5. To find the distance between vectors u and vin R": = (2, -3) and v=(-1, 1) b. u= (4, 5, -2) and…

A: Find distance between vector  a.u(2,3) and v=(1,-1) b.u(4,5,-2) and v=(2,1,2) c.u(2,-3,5,1) and…

Q: a. Draw the directed graph corresponding to the adjacency matrix. [101] 2 1 0 Lo 2 1 b. Using the…

A: The above question is solved in step 2 :-

Q: Computer Graphics Develop an algorithm for calculating the normal vector to a Bezier surfaces at the…

A: The Answer is

Q: (1) Let A= {1,2,3} and Let R={(1,1), (1,2), (2,3), (1,3), (3,1), (3,2)} Compute the transitive…

A: Transitive closure on a relation R is smallest binary relation on a set S that is transitive and…

Q: a) For the following functions below state the relationship between the hyperbolic and its…

A: ANSWER: Hyperbolic Function: Any of a bunch of six functions comparable to the mathematical…

Q: Apply Bellman-Ford algorithm on the following graph. Show all the steps. 10 2 2 3

A: answer starts from step 2

Q: G0o.

A: We know A simple graph does not have more than one edge between any two vertices in it and no edge…

Q: I have a True False question: The diameter of the union of the vertex sets of two convex polygons…

A: Answer: we need to write the some point to how to operated if two convex polygon

Q: For the following directed graph, let E = {I,J,K,L,M} and let V = {a,b, c, d}. %3D a d M b K For…

A: Given graph contains, 5 edges= {I, J, K, L, M} 4 vertices= {a, b, c, d} Indegree of the vertex is,…

Q: 2i Obtain equidistant points between =[-1,1] as x; = 1; i e {0,1,2, ..,n}. Plot Lagrange n…

A: import matplotlib.pyplot as pltimport numpy as npimport scipy.interpolate #runge's formuladef f(x):…

Q: are necessary, w

A: Associate in Nursing arbitrarily constructed clipping polygon/area/region allows clipping of a…

Q: A 4 E 7 9 10 D 8 B Iteration Vertex dequeued Adjacent vertices updated 1 Ex: C Ex: A, B, C or none 2…

A: Dijkstra's Algorithmn is used to find the shortest path from a source to the destination by…

Q: Problem 1. A walk in a directed graph G = (V, E) from a vertex s to a vertex t, is a sequence of…

A: An algorithm is a set of precise and well-defined instructions that are used to solve a problem or…