Q2. Match the graphs with their descriptions. DAG Bipartite graph Directed graph Undirected graph ✓ [Choose ] a graph that does not have edges a graph that has edges represented by sets, not tuples a graph that has edges represented by tuples, not sets a graph that has as many vertices as edges a directed graph without cycles a graph that has nodes that can be colored in only two colors and there is no node connected to any node of the same color a graph with cycles [Choose]

Q2. Match the graphs with their descriptions. DAG Bipartite graph Directed graph Undirected graph ✓ [Choose ] a graph that does not have edges a graph that has edges represented by sets, not tuples a graph that has edges represented by tuples, not sets a graph that has as many vertices as edges a directed graph without cycles a graph that has nodes that can be colored in only two colors and there is no node connected to any node of the same color a graph with cycles [Choose]

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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1. This question is about type of graphs. a. Construct a graph with exactly 5 nodes such that the graph is strongly connected. b. Construct a graph with exactly 5 nodes such that the graph is weakly connected. c. Construct a graph with exactly 5 nodes such that the graph is completely connected. d. Construct a graph with exactly 5 nodes such that the graph is not connected. e. Construct a graph with exactly 5 nodes such that the graph is not a simple graph.
1. Unreachable Nodes You have been given an undirected graph consisting of N nodes and Medges. The nodes in this graph are enumerated from 1 to N. The graph can consist of self-loops as well as multiple edges. This graph consists of a special node called the head node. You need to consider this and the entry point of this graph. You need to find the number of nodes that are unreachable from this head node. Create a function unreachableNodesCount (N, M, ListofEdges, HeadNode) where N is the number of nodes, M is the number of edges, List0fEdges contains list of edges in the graph and HeadNode is a special node which is the entry point of this graph. The function will return the number of nodes that are unreachable from the head node. Note: You will need to use N, M and List of Edges to first create the graph, as well as a search function to define the unreachable nodes count. >>>N = 10 >>> M = 10 >>> ListofEdges [(8, 1), (8, 3), (7, 4), (7, 5), (2, 6), (10, 7), (2, 8), (10, 9), (2, 10),…
2. Use the following description of an undirected graph and draw the graph: v(Graph1) = { A, B, C, D} E(Graph1) = { (A,B), (A,D), (B,C), (B,D) }
In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject to certain constraints. In its simplest form, it is a way of coloring the vertices of a graph such that no two adjacent vertices share the same color; this is called a vertex coloring. The chromatic number of a graph is the least mumber of colors required to do a coloring of a graph. Example Here in this graph the chromatic number is 3 since we used 3 colors The degree of a vertex v in a graph (without loops) is the number of edges at v. If there are loops at v each loop contributes 2 to the valence of v. A graph is connected if for any pair of vertices u and v one can get from u to v by moving along the edges of the graph. Such routes that move along edges are known by different names: edge progressions, paths, simple paths, walks, trails, circuits, cycles, etc. a. Write down the degree of the 16 vertices in the graph below: 14…
Q9-A student has to plot a graph of f(x)=z and g(y)=z in the same graph, with t as a parameter. The function he uses is O plot3(x,y,z) plot(x,y,z) disp O stem(x,y)
1. Let Sn denote a directed graph with n vertices, numbered from 1 to n, in which there are edges from vertex 1 to all other vertices, and from all other vertices back to vertex 1, but no other edges. Write the Python adjacency list representation for S6.
Computer Science ASAP PLS In this assignment, you should input a single graph. Then run your DFS or BFS, MST, and Dijkstra's algorithm for the input graph. This input graph can be created by reading from a file or using keyboard to input.
Graph Theory: Graph theory in computer science uses a graphical matrix with nodes and edges to describe a data structure. These can be used for search trees, game theory, shortest path, and many other applications in math and computer science. An example of an application of a graph in computer science is the data structure used to hole the moves for a checkers game program. Each move can be represented by a node. The edges connecting the nodes are determined by the rules of the game, basically how to get to the node. This is a directed graph, because a player cannot take a move back. So the flow is always in one direction towards the end of the game. Cycles in a graph is when a node can go back to itself. This is not possible in this graph, because a move can only go to another position on the board. The only case where this would be correct is if a player were allowed to skip his turn, or move to the same spot that he is already in. A graph is said to be connected if there is a path…
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.
1. Write a program (WAP) to create an undirected graph using adjacency matrix representation.Number of nodes and edges should be taken from the user. After creating the graph, performfollowing operations: (i) Search a node. Take the node number from the user. If the node is found then print its associatededges.(ii) Insert a node in the graph.(iii) Insert an edge in the graph. Take the node numbers from the user between which the edge is tobe inserted.(iv) Delete a node from the graph. Take the node number to be deleted from the user.(v) Apply DFS on the graph and print the graph traversal.(vi) Apply BFS on the graph and print the graph traversal.2. Solve the above problem using adjacency list representation.
Part 3 - Number is 9 Part 3: Graph TheoryUse your assigned number of vertices from “Part 3” of the “Finite Math Assignment Form: Task 3” supporting document to do the following: F. Create a weighted connected graph with the following characteristics: • The assigned number of vertices are alphabetically labeled starting with A. • Vertex A is not adjacent to vertex G. • At least two vertices have a degree greater than 2. • All weights are greater than 0. • No weights are the same. 1. Identify the degree of each vertex in your graph. 2. Explain whether the graph has an Euler trail, using definitions, properties, or theorems. 3. Describe a path from vertex A to G. 4. Find the total weight of the path from part F3. Show all work.
Task 3. Adjacency List using linked list. Your program must ask the number of vertices and then the list of vertices to store. Afterwards, the adjacent vertices to each of the vertex to store the information. You may consider the following simple graph to test your program. a b d e