15 Consider the graph K3,3=GdifeDraw the following:a) G[ {a,b,d}]6) G[{a, d, e, f3]c) G[{a,b,d,e}]d) G-{a}શે- { ,કેf) G-{a, dg)G-{c, d,e}h) G-{d, e, f}i) G-{a, c, e, f}

Answer: We need to draw the graph but guidelines is answer the first thee subpart from the first…

Answered: 19 Consider the graph K3,3 " f e Draw…

19 Consider the graph K3,3 " f e Draw the following 2) G-{a,d} a) G[{a,b,d}] 6) G[ {a, d, e, f}] c) G[{a,b,d,e}] d) G-{a} g) G-{c, d, e h) G-{d, e, f i) G-{a, c, e, f }

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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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…
A graph is encoded in the following form graph = [[2,4],[2,3,4],[0,1],[1],[0,1],[7],[9],[5],[0,[6],[12,14],(0,[10],0,[10],[19],[18],[],[16],[15],[23], [23],0.[20,21],[],(0,[27],[26],[],[],[34],[33,34],[],[31],[30,31],[38,39],[37,38,39],[36],[35,36],[35,36], [43],],0,(40],(0,[49],[47,48,49],[46,48,49],[46,47,49],[45,46,47,48]] Which of the following statement best describes the encoding. O A. [2,4] encodes the adjacent vertex 2 and vertex 4. B. The encoding has errors as there are duplication such as [0,1], [0,1] O C. The graph contains a number of vertexes that do not have any adjacent vertices. D. [2,3,4] encodes the vertex 1 has adjacent vertex 2, vertex 3 and vertex 4.
Hippity hoppity, abolish loopity def frog_collision_time(frog1, frog2): A frog hopping along on the infinite two-dimensional lattice grid of integers is represented as a 4- tuple of the form (sx, sy, dx, dy) where (sx, sy) is its starting position at time zero, and (dx, dy) is its constant direction vector for each hop. Time advances in discrete integer steps 0, 1, 2, 3, ... so that each frog makes one hop at every tick of the clock. At time t, the position of that frog is given by the formula (sx+t*dx, sy+t*dy) that can be nimbly evaluated for any t. Given two frogs frog1 and frog2 that are guaranteed to initially stand on different squares, return the time when both frogs hop into the same square. If these two frogs never simultaneously arrive at the same square, return None. This function should not contain any loops whatsoever. The result should be calculated using conditional statements and integer arithmetic. Perhaps the best way to get cracking is to first solve a simpler…
Hippity hoppity, abolish loopity def frog_collision_time(frog1, frog2): A frog hopping along on the infinite two-dimensional lattice grid of integers is represented as a 4-tuple of the form (sx, sy, dx, dy) where (sx, sy) is its starting position at time zero, and (dx, dy) is its constant direction vector for each hop. Time advances in discrete integer steps 0, 1, 2, 3, ... so that each frog makes one hop at every tick of the clock. At time t, the position of that frog is given by the formula (sx+t*dx, sy+t*dy) that can be nimbly evaluated for any t.Given two frogs frog1 and frog2 that are guaranteed to initially stand on different squares, return the time when both frogs hop into the same square. If these two frogs never simultaneously arrive at the same square, return None.This function should not contain any loops whatsoever. The result should be calculated using conditional statements and integer arithmetic. Perhaps the best way to get cracking is to first solve a simpler version…
Question Five For the following graph: G A. Draw the linked adjacency-list representation. [A] [B] (C) [D] [E] [F] [G] [H] E D [0] B E H C
IN C++ Write a functtion that given two arrays A and B of N integers each, describing a directed graph, returns true if the graph is a cycle and flase other wise. EX, Given A = [ 3,1,2] B = [2,3,1] -- returns true Given A = [ 1,2,1] B = [2,3,3] -- returns false
C PROGRAMMING Implement dijkstras alorithm Check that the Graph graph, and starting node, id, are valid• Create the set S containing all the networks (vertices) except the source node (you might wantto use an array for this.• Create an array to represent the table D and initialise it with the weights of the edges from thesource node, or infinity if no edge exists. You should use the constant DBL_MAX to representinfinity.• Create an array to represent the table R and initialise it with the next hops if an edge existsfrom the source, or 0 otherwise.• Then repeatedly follow the remaining rules of Dijkstra’s algorithm, updating the values in D andR until S is empty.• Each of the values required to complete the above can be found by calling the variousfunctions (get_vertices(), get_edge(), edge_destination(), edge_weight(), etc.)in the supplied graph library.• Once Dijkstra’s algorithm has run, you will need to create the routing table to be returned byallocating enough memory for the…
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A graph G with vertices labelled 0 to 9 is shown below. 8 17 3 Tick all the statements that are correct about the graph. You may need to compare the above graph to the Peterson graph, which is provided as follows: O Gis a Hamiltonian graph O G contains more than five spanning trees O Gis an Eulerian graph O G is a simple graph O Gis bipartite O The complement of G is connected There are two distinct vertices in G that are joined by an Eulerian trail O The diameter of G is 2 O There are two distinct vertices in G that are joined by a Hamiltonian path O Gis isomorphic to the Peterson graph G is a regular graph 6,
implementation a undirected graph data structure using adjacency list, in c code: creating graph, adding node and edge, deleting node and edge
1. Input: An unweighted graph G = (V, E).2. Output: C = {C1,C2,...,Ck }, k clusters of G.3. Calculate edge betweenness value ∀(u, v) ∈ E.4. Remove all edges from G that have a higher betweenness value than a threshold τ .5. Find the components of GN which are the clusters of G.Write Python Implementation considering figure
Fill in the missing entries to complete the adjacency list representation of the given graph. V = {1, 2, 3, 4, 5) E = {(1, 2), (2, 3), (4, 3}, {5, 4}} (a): Ex: 4 (b): (c): (d): 1 2 3 4 5 (a) 1 3 2 (b) 3 (c)