Consider the frequent closed itemset lattice shown in Figure 9.7. Assume that the item space is I = {A, B, C, D, E}. Answer the following questions (a) What is the frequency of CD? (b) Find all frequent itemsets and their frequency in the subset interval [B, ABD]. (c) Is ADE frequent? If yes, show its support. If not, why?

Consider the frequent closed itemset lattice shown in Figure 9.7. Assume that the item space is I = {A, B, C, D, E}. Answer the following questions (a) What is the frequency of CD? (b) Find all frequent itemsets and their frequency in the subset interval [B, ABD]. (c) Is ADE frequent? If yes, show its support. If not, why?

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

See similar textbooks

Similar questions

Let G := (V ,EG) be a 4-regular tree, i.e. an infinite connected undirected graph without cycles and such that each vertex has exactly 4 neighbors, the picture is a finite part of it. Recall that Th(G) denotes the theory of G, i.e. the set of all sentences that G satisfies. Using the Compactness theorem, prove that Th(G) has a disconnected model. Hint: Add two new constant symbols and sneakily make them farther and farther from each other.
QUESTION 3 Given a bipartite graph G = (A u B, E), Let S c E be a maximum matching. The size of S for the following graph is 01 OO 6 05 O4 Ο Ο Ο none of these KN b 5 R Click Save and Submit to save and submit. Click Save All Answers to save all answers. tv all Z A Save All Answers
Backtrack Search Algorithm Using Known Subgroupa group G with the base B=[51, 132,..... k] and a strong generating set S as the input; a subgroup L of G whose members meet the decidable condition P;a powerful generating set with respect to B for the subgroup K = H (P);
Write Algorithm to Testing MembershipInput : a group G acting on [2 = { 1,2 ..... n };a permutation g of ~2 = { 1,2 ..... n };a base and strong generating set forG;sets U (i) ,1 < i < k of coset representatives for stabiliser chain;Output : a boolean value answer, indicating whether g E G;
What is the output of this expression? >>> word %3D "HELLO' >>> word [0] O (') Он 'h'
Exercise c. Strict matchingConsider the following generalization of the maximum matching problem, which we callStrict-Matching. Recall that a matching in an undirected graph G = (V, E) is a setof edges such that no distinct pair of edges {a, b} and {c, d} have endpoints that areequal: {a, b} ∩ {c, d} = ∅. Say that a strict matching is matching with the propertythat no pair of distinct edges have endpoints that are connected by an edge: {a, c} ̸∈ E,{a, d} ̸∈ E, {b, c} ̸∈ E, and {b, d} ̸∈ E. (Since a strict matching is also a matching, wealso require {a, b} ∩ {c, d} = ∅.) The problem Strict-Matching is then given a graphG and an integer k, does G contain a strict matching with at least k edges.Prove that Strict-Matching is NP-complete.
Write Algorithm to Testing MembershipInput : a group G acting on [2 = { 1,2 ..... n };a permutation g of ~2 = { 1,2 ..... n };a base and strong generating set forG;sets U (i) ,1 < i < k of coset representatives for stabiliser chain;Output : a boolean value answer, indicating whether g E G;
Q. For a given graph G = (V,E), a subset SCVis called an independent set if (u,v) & E for every pair of vertices u, vES. The three independent set problems ISD, ISO and ISF all have as input a graph G=(V,E). ISD also has as part of the input a natural number k. ISD is a decision problem: the question is whether or not there is a subset S of V with at least k elements such that (u,v)EE for every pair of vertices u, v ES? ISO and ISF do not have yes/no answers. The answer to ISO is an integer n – size of the largest independent set in graph G. The answer to ISF is subset S – largest independent set in graph G. Show that all three of these problems are polynomial-time Turing equivalent. I.e. show the solution of ISO and ISF that uses ISD as a subroutine. Also show a solution to ISD that uses ISO as a subroutine. Provide detailed pseudocode solutions with justification of correctness and running time.
1. Consider the method m1() in Question 2. Consider the AOR[1] and the ROR[2] mutation operators. a. What is the minimum number of mutants necessary for coverage comparable to the strongest graph coverage criteria? Justify. b. List such minimum set of mutants. c. Pick one of your mutants and provide the reachability conditions, infection conditions, propagation conditions, and test case values to kill that mutant. 1. public int m1() { 2. 3. outVal = 1; 4. 5. 6. 7. 8. 9. 10. } 11. 12. } 13. 14. 02 = new C2(); GPA 02.m2(); (stub) if GPA > 3.5 { outVal outVal * 10 + 10%; www wwwwwwwwww if major "ICS" { outVal = outVal * 2; wwwwwwwww outVal outVal / 2; wwwwwwww wwwwwwwwwwww elsif GPA 2.5 { wwwwww outVal = 60 30 ✶ outVal; wwwwwww - wwwwwwwww 15. } 16. else { 17. 18. } 19. outVal = 20 outVal + 20; wwwwwwww return outVal; wwwwwwwwww wwwwww 20. }
On S = f2; 4; 6; 10; 12; 20; 30; 60g we work with the divisibility relation R:xRy , x divides y:(i) Draw the Hasse diagram of R.(ii) Find all R-minimal elements.(iii) Find all R-maximal elements.(iv) Find all non-empty subsets U S, so that 6 is an R-lowerbound of U.(v) Let A = f6; 10; 12g. If A admits an R-supremum, nd it. If A admits an R-in mum, nd it.(vi) Is R a lattice?
Given a weighted graph G = (V, E, w) and a source vertex s ∈ V, prove the the following properties regardless of the SSSP algorithm. 1. If π[s] ever changes after the initialization, then G contains a negative cycle through s. 2. Show that π[s] may never change after the initialization, even when G contains a negative cycle through s. we need to prove so do not provide codes.
Algorithm for Backtrack Search Restricting Choice of Base ImagesInput : a group G with a base B=[[51, [52 ..... [sk] and a strong generating set S;a decidable property P whose elements form a subgroup;Output : a strong generating set relative to B for the subgroup K = H (P) ;procedure search( G : group; P: property; s : 1..k+l; var K : group );(* Search G (s) for the subgroup K of elements satisfying P. *)