Algorithm for Membership Testing A group G working 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, are the inputs. a boolean value that indicates whether or not g E G;

Algorithm for Membership Testing A group G working 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, are the inputs. a boolean value that indicates whether or not g E G;

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter14: Game Theory

Section: Chapter Questions

Problem 7RP

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Concept explainers

Types of trees

A tree data structure is a non–linear structure that stores data hierarchically. It can be defined as a group of objects, called nodes. The nodes are linked with edges. Trees begin with a root node which leads to children nodes. The last children nodes (endpoints) are called leaf nodes, and they do not have children nodes.

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Algorithm for Membership Testing
A group G working 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, are the inputs.
a boolean value that indicates whether or not g E G;

Process or set of rules that allow for the solving of specific, well-defined computational problems through a specific series of commands. This topic is fundamental in computer science, especially with regard to artificial intelligence, databases, graphics, networking, operating systems, and security.

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Algorithm for 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;
make Membership Testing AlgorithmInput: a group G operating on f = 1,2,.....n; a permutation g of f = 1,2,.....n; a base and strong enerating set for G; Schreier vectors v I 1 I k, for the stabiliser chainOutput: a boolean result showing if g G is in the group; function is in group(p: permutation; I 1..k+l): boolean; (* return true if the permutation p is in the group G I *)
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;
Algorithm for Testing MembershipInput : a group G acting on f~ = { 1,2 ..... n };a permutation g of f~ = { 1,2 ..... n };a base and strong ~enerating set for G;Schreier vectors v (i) , 1 < i < k, for the stabiliser chain;Output: a boolean value answer, indicating whether g ~ G;function is_in_group(p : permutation; i : 1..k+l ) : boolean;(* return true if the permutation p is in the group G (i) *)
make Algorithm forTesting 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;
Algorithm : Testing MembershipInput : a group G acting on f~ = { 1,2 ..... n };a permutation g of f~ = { 1,2 ..... n };a base and strong ~enerating set for G;Schreier vectors v (i) , 1 < i < k, for the stabiliser chain;Output: a boolean value answer, indicating whether g ~ G;
Write Algorithm for Testing MembershipInput : a group G acting on f~ = { 1,2 ..... n };a permutation g on ~ = { 1,2 ..... n };a base and strong generating set for G;Schreier vectors v (i) ,1 < i < k, for the stabiliser chain;Similarly a non-re, cursiveOutput : a boolean value answer, indicating whether g ~ G;function is_in_group(p : permutation; i : 1..k+l ) : boolean;(* return true if the permutation p is in the group G (i) *)
implement Algorithm for Testing MembershipInput : a group G acting on f~ = { 1,2 ..... n };a permutation g of f~ = { 1,2 ..... n };a base and strong ~enerating set for G;Schreier vectors v (i) , 1 < i < k, for the stabiliser chain;Output: a boolean value answer, indicating whether g ~ G;function is_in_group(p : permutation; i : 1..k+l ) : boolean;(* return true if the permutation p is in the group G (i) *)
Write Algorithm for Membership TestingA group G operating on the function f = 1, 2,..., n; a permutation of f = 1, 2,....., n; a base and strong energising set for G; and Schreier vectors v I 1 I k, for the stabilising chain; are the inputs.The function is in group(p: permutation; I 1..k+l): boolean; (* return true if the permutation p is in the group G I outputs a boolean value indicating if g G.
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