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Posted inDesign & Analysis of Algorithms
Iterative Improvement
The greedy strategy, considered in the preceding chapter, constructs a solution to an optimization problem…
Posted inDesign & Analysis of Algorithms
Huffman Trees and Codes
Suppose we have to encode a text that comprises symbols from some n-symbol alphabet by assigning…
Posted inDesign & Analysis of Algorithms
Dijkstra’s Algorithm
In this section, we consider the single-source shortest-paths problem: for a given vertex called the source in a…
Posted inDesign & Analysis of Algorithms
Kruskal’s Algorithm
In the previous section, we considered the greedy algorithm that “grows” a mini-mum spanning tree…
Posted inDesign & Analysis of Algorithms
Prim’s Algorithm
The following problem arises naturally in many practical situations: given n points, connect them in the cheapest…
Posted inDesign & Analysis of Algorithms
Greedy Technique
Let us revisit the change-making problem faced, at least subconsciously, by millions of cashiers all over the…
Posted inDesign & Analysis of Algorithms
The Knapsack Problem and Memory Functions
We start this section with designing a dynamic programming algorithm for the knapsack problem: given n items…
Posted inDesign & Analysis of Algorithms
Warshall’s and Floyd’s Algorithms
In this section, we look at two well-known algorithms: Warshall’s algorithm for computing the transitive…
Posted inDesign & Analysis of Algorithms
Greedy approach vs Dynamic programming
A Greedy algorithm is an algorithmic paradigm that builds up a solution piece by piece, always choosing…
Posted inDesign & Analysis of Algorithms
Knapsack Problem
Here is another well-known problem in algorithmics. Given n items of known weights w1, w2, . . .…