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explain state space treeif it is convenient to execute backtracking by constructing a tree of choices being made the tree is known as a state space
explain backtrackingthe principal idea is to construct solutions single component at a time and evaluate such partially constructed
explain the memory function methodthe memory function method seeks to combine strengths of the top down and bottom-up approaches to
explain optimal binary search treesone of the principal application of binary search tree is to execute the operation of searching if probabilities
explain principle of optimalityit indicates that an optimal solution to any instance of an optimization problem is composed of optimal solutions
explain floyds algorithmit is convenient to record the lengths of shortest paths in an n by n matrix d known as the distance matrix the element
explain all-pair shortest-paths problemgiven a weighted linked graph undirected or directed the all pairs shortest paths problem asks to find the
define dynamic programming dynamic programming is a method for solving problems with overlapping
define prims algorithmprims algorithm is a greedy algorithm for constructing a minimum ning tree
define min-heapa min-heap is a complete binary tree in which each element is less than or equal to its children all the principal properties of heaps
define minimum ning treea minimum ning tree of a weighted linked graph is its ning tree of the smallest weight where the weight of a tree
define ning treea ning tree of a connected graph is its linked acyclic sub graph ie a tree that having all the vertices of the
explain about greedy techniquethe greedy method suggests constructing a solution to an optimization
define the external path lengththe external path length e of an extended binary tree is explained as the sum of the lengths of the paths - taken over
define the internal path lengththe internal path length i of an extended binary tree is explained as the sum of the lengths of the paths taken over
explain internal and external nodes to draw the trees extension by changing the empty subtrees by
how divide and conquer technique can be applied to binary trees as the binary tree definition itself separates a binary tree into two smaller
define binary tree a binary tree t is explained as a finite set of nodes that is either empty or having of root and two disjoint binary trees tl
define merge sort merge sort is a perfect example of a successful application of the divide and conquer method it sorts a given array a0n-l by
explain divide and conquer algorithms divide and conquer is probably the best known general algorithm
define order of growththe efficiency analysis framework concentrates on the order of growth of an
what is called the basic operation of an algorithmthe most significant operation of the algorithm is the operation contributing the most to the total
how to measure the algorithms efficiencyit is logical to examine the algorithms efficiency as a function of some parameter n showing the algorithms
what is algorithms optimalityoptimality is about the complexity of the problem that algorithm solves
what is efficiency of algorithmefficiency of an algorithm can be precisely explained and investigated with mathematical rigor there are two types