Discrete Mathematics I need help with this two part problemPart 1Part 2 o.tex- TeXstudiolabeltiny3 of 14Part 1: The drawing below shows a Hasse diagram for a partial order on the set:(4. B. C. D, E, F. G, H. 1, J}COBFigure 1: A Hasse diagram shous 10 vertices and 8 edges. The vertices, represented by dots, are asfollows: verter Jis upeard of verter H: verter H is upward of verter I; vertez B is inclined upward tothe left of verter A: certer C is upward of erter B; vertez D is inclined upward to the right of verterC: vertez E is inclined upward to the left of verter F; vertez G is inclined upuward to the right of vertezE. The edges, represented by hine segments betwcen the vertices are as follows: 3 vertical edges connectthe following vertices: B and C, H and 1, andH and J; 5 inclined edges conneet the following vertices:A and B. C and D, D and E. E and F, and E and G.Determine the properties of the Hasse diagram based on the following questions:(a) What are the minimal ekements of the partial order?(b) What are the maximal elements of the partial order?(e) Which of the following pairs are comparable?(4, D). (J. F), (B, E), (G, F), (D, B), (C, F), (H, I), (C. E) scoopedgar:0wo.tex - TeXstudiortlabeltiny4 of 14Part 2: Consider the partial order with domain (3, 5, 6, 7, 10, 14, 20, 30, 60, 70} and with z Sy ifr evenly divides y. Select the correct Hasse diagram for the partial order.6070302014103(a)7Figure 2: A Hasse diagram shous a set of elements 3; 5: 6; 7: 10: 14: 20; 30; 60, 70.There are lines connecting 3 and 6, 6 and 30, s0 and 60, 5 and 10, 10 and 20, 20 and 60, 10and 70, 7 and 14. 14 and 70.6,

Part 1: The drawing below shows a Hasse diagram for a partial order on the set: {4, B, C, D, E, F, G, H. I, J} BO F Figure 1: A Hasse diagram shous 10 vertices and 8 edges. The vertices, represented by dots, follows: verter J is upward of verter H: verter H is upward of verter I; erter B is inclined upwa the left of verter A: eerter C is upward of verter B; vertez D is inclined upward to the right of C: vertez E is inclined upward to the left of verter F; vertez G is inclined upward to the right of v E. The edges, represented by hine segments between the vertices are as follows: 3 vertical edges con the following vertices: B and C, H and I, and H and J; 5 inclined edges connect the following vert A and B, C and D, D and E, E and F, and E and G. Determine the properties of the Hasse diagram based on the following questions: (a) What are the minimal elements of the partial order? (b) What are the maximal elements of the partial order? (e) Which of the following pairs are comparable? (A, D). (J. F), (B, E), (G, F), (D, B), (C, F), (H, I). (C. E)

Part 1: The drawing below shows a Hasse diagram for a partial order on the set: {4, B, C, D, E, F, G, H. I, J} BO F Figure 1: A Hasse diagram shous 10 vertices and 8 edges. The vertices, represented by dots, follows: verter J is upward of verter H: verter H is upward of verter I; erter B is inclined upwa the left of verter A: eerter C is upward of verter B; vertez D is inclined upward to the right of C: vertez E is inclined upward to the left of verter F; vertez G is inclined upward to the right of v E. The edges, represented by hine segments between the vertices are as follows: 3 vertical edges con the following vertices: B and C, H and I, and H and J; 5 inclined edges connect the following vert A and B, C and D, D and E, E and F, and E and G. Determine the properties of the Hasse diagram based on the following questions: (a) What are the minimal elements of the partial order? (b) What are the maximal elements of the partial order? (e) Which of the following pairs are comparable? (A, D). (J. F), (B, E), (G, F), (D, B), (C, F), (H, I). (C. E)

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Part 1: The drawing below shows a Hasse diagram for a partial order on the set: (А, В, С. D, E, F. G, H. I, J} E B Figure 1: A Hasse diagram shous 10 vertices and 8 exiges. The vertices, represented by dots, are as follows: verter J is upurard of vertez H; verter H is upward of verter I; verter B is inclined upward ta the left of verter A; vertez C is upuard of vertez B: verter D is inclined upuard to the right of verter C; rertez E is inelined upward to the left of vertez F; verter G is inclined upward to the right of verter E. The edges, represented by line segments between the vertices are as follows: 3 vertical edges connect the following irertices: B and C, H and I, and H and J; 5 inclined edges connect the follouring vertices: A and B, C and D. D and E, E and F, and E and G. Determine the properties of the Hasse diagram based on the following questions: What are the minimal elements of the partial order? What are the maximal elements of the partial order? Which of the following…
2 3 Determine the most suitable data structure for the above graph and show it adjacency representation.
The Graph Data Structure is made up of nodes and edges. (A Tree Data Structure is a special kind of a Graph Data Structure). A Graph may be represented by an Adjacency Matrix or an Adjacency List. Through this exercise, you should be able to have a better grasp the Adjacency Matrix concept. You are expected to read about the Adjacency Matrix concept as well as the Adjacency List concept. Suppose the vertices A, B, C, D, E, F, G and H of a Graph are mapped to row and column indices(0,1,2,3,4,5,6,and 7) of a matrix (i.e. 2-dimensional array) as shown in the following table. Vertex of Graph Index in the 2-D Array Adjacency Matrix Representation of Graph A B 2 F 6. H 7 Suppose further, that the following is an Adjacency Matrix representing the Graph. 3 4 5. 6. 7 0. 1 1 1 1 01 1 01 1. 3 14 1 1 1 6. 1 Exercise: Show/Draw the Graph that is represented by the above Adjacency matrix. Upload the document that contains your result. (Filename: AdjacencyMatrixExercise.pdf) Notes: -The nodes of the…
Please explain Some engineers at Google want you to implement a graph structure of the subway system in Boston showing the connections between each station.They are wondering what data structure to use to represent the graph and use the least amount of memory, given that most stations do not connect to many other stations. Which graph data structure representation should you use and why? Group of answer choices a. Adjacency List -- Because the complexity is O(V+E), the data structure is better at representing sparse graphs since their are fewer connections. b. Adjacency Matrix -- Because the complexity is O(V+E), the data structure is better at representing sparse graphs since their are fewer connections.
5. Icosian Game A century after Euler's discovery (see Problem 4), another famous puzzle-this one invented by the renowned Irish mathematician Sir William Hamilton (1805–1865)-was presented to the world under the name of the Icosian Game. The game's board was a circular wooden board on which the following graph was carved: Find a Hamiltonian circuit-a path that visits all the graph's vertices exactly once before returning to the starting vertex-for this graph.
implementation a undirected graph data structure using adjacency list, in c code: creating graph, adding node and edge, deleting node and edge
Question #6: Shading Language In each case, name the built-in variable in the shading language. а. A vertex must be assigned to this variable b. A value can optionally be assigned to this variable to set the size of graphic that is used to display a point.
Assume you are to write a program to analyze the social connection between students in MTSU. Each student is a node in a undirected graph. An edge is added between two nodes if these two students have close social connections, i.e., in the same club, or in the same department. Which would be a better representation for this graph? Question 45 options: adjacency matrix representation adjacency list representation
max edge distance Simplification key Figure 4-1: A sample process for the Douglas-Peucker algorithm The Douglas-Peucker algorithm is for the selection of representative points to simplify a curve composed of line segments. It uses a point-to-edge distance tolerance. The algorithm starts with a crude simplification that is the single edge joining the first and last vertices of the original polyline. It then computes the perpendicular distance of all intermediate vertices to that edge. The vertex that is furthest away from that edge, and that has a computed distance that is larger than a specified tolerance, will be marked as a key and added to the simplification. This process will recurse for each edge in the current simplification until all vertices of the original polyline are within tolerance of the simplification results. This process is illustrated in Figure 4-1. (1) Given three points (xp, Yp), (Xa, Ya), (Xp,Yb), show a detailed process to compute the perpendicular distance from p…
Assignment on Graph A social graph contains all the friendship relations (edges) among a group of n people (vertices). The friendship relationship is symmetric. Two vertices with no edge between them are enemies. Design and implement a class called Graph for a social graph. It should have an adjacency matrix as a data member to represent the graph. The nodes in the graph are numbered from 0..n-1 graph[i][i] - is always true (1) graph[i][j] is true if i and j are friends and false (0) if they are enemies. • In the constructor, initialize all entries to false (0) and all graph[i][i] to true (1) Include the following member functions. o void makeFriends(int i,intj)- make i and j friends int countFriends(int i) - will return the number of friends of i, excluding itself int countEnemies(int i)- will return the number of enemies of i int countCommonFriends(int i,intj) - the number of common friends of i and j int countCommonEnemies(int i,intj) - the number of common enemies of i and j int…
Let G be a graph whose vertices are the integers 1 through 8, and let the adjacent vertices of each vertex be given by the table. Assume that, in a traversal of G, the adjacent vertices of a given vertex are returned in the same order as they are listed in the table below. Vertex Adjacent vertices 1 2 3 4 5 6 7 8 (2,3,4) (1,3,4) (1,2,4) (1,2,3,6) (6,7,8) (4,5,7) (5,6,8) (5,7) a) Draw Gb) Order the vertices as they are visited in a DFS traversal starting at vertex 1. c) Order the vertices as they are visited in a BFS traversal starting at vertex 1.
Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. You are given a coordinated diagram of n vertices and m edges. Vertices are numbered from 1 to n. There is a token in vertex 1. The accompanying activities are permitted: Token development. To move the token from vertex u to vertex v in case there is an edge u→v in the diagram. This activity requires 1 second. Diagram rendering. To translate every one of the edges in the chart: supplant each edge u→v by an edge v→u. This activity requires some investment: k-th rendering requires 2k−1 seconds, for example the primary rendering requires 1 second, the subsequent one requires 2 seconds, the third one requires 4 seconds, etc. The objective is to move the token from vertex 1 to vertex n in the most brief conceivable time. Print this time modulo 998244353. Input The principal line of input contains two integers n,m (1≤n,m≤200000). The following m lines contain two…