Start Discovering Solved Questions and Your Course Assignments
TextBooks Included
Solved Assignments
Asked Questions
Answered Questions
question discuss the use of the program evaluation and review technique pert to schedule the tasks of a large
question describe how equivalence classes can be used to define the rational numbers as classes of pairs of integers
question given the matrix representing a relation on a finite set find the matrix representing the transitive closure
question find the transitive closure of a relation of your choice on a set with at least 20 elements either use a
question compute the number of different equivalence relations on a set with n elements for all positive integers n not
question look up the original papers by warshall and by roy in french in which they develop algorithms for finding
question the minimum vertex cover problem min-vcp is a minimization problem where one searches for a vertex cover of
question one observes that the protocol umc is based on a nondeterministic protocol that simply guesses the position j
question let a be a randomized algorithm computing a function f with probax fx ge 13 for every argument x of f assume
question consider the probabilistic experiment given by the protocol r2 define two indicator variables x1 and x2 where
question consider the following problem given a set a of elements with a linear order and a positive integer k k le a
question modify the randomized quicksort by stopping all computations longer than 16 middot n middot log2 n with the
question let r be a quasi-ordering and let s be the relation on the set of equivalence classes of r cap r-1 such that c
question let r be the relation on the set of all functions from z to z such that f g belongs to r if and only if f is
question devise an algorithm based on the concept of interior vertices that finds the length of the longest path
question a let s be the set of subroutines of a computer program define the relation r by pr q if subroutine p calls
question construct a relation on the set a b c d that isa reflexive symmetric but not transitiveb irreflexive symmetric
question let s be the set of all strings of english letters determine whether these relations are reflexive irreflexive
question a define a well-ordered setb describe an algorithm for producing a totally ordered set compatible with a given
question a show that every finite subset of a lattice has a greatest lower bound and a least upper boundb show that
question a define a latticeb give an example of a poset with five elements that is a lattice and an example of a poset
question a define a maximal element of a poset and the greatest element of a posetb give an example of a poset that has
question a explain how to construct the hasse diagram of a partial order on a finite setb draw the hasse diagram of the
question a give an example to show that the transitive closure of the symmetric closure of a relation is not