Table of Contents
What is Dijkstra’s algorithm?
Dijkstra’s algorithm. The alarm clock algorithm computes distances in any graph with positive integral edge lengths. It is almost ready for use, except that we need to somehow implement the system of alarms.
How do you model an algorithm’s state?
We will model the algorithm’s state as a collection ofdisjoint sets, each of which contains the nodes of a particular component. Initially each node is in a component by itself: makeset(x): create a singleton set containing just x. We repeatedly test pairs of nodes to see if they belong to the same set. find(x): to which set does xbelong?
Who is the author of algorithms copyright?
Algorithms Algorithms Copyright c 2006 S. Dasgupta, C. H. Papadimitriou, and U. V. Vazirani July 18, 2006 2 Contents
Does Huffman’s algorithm work in English?
The basic intuition behind Huffman’s algorithm, that frequent blocks should have short en- codings and infrequent blocks should have long encodings, is also at work in English, where typical words like I, you, is, and, to, from, and so on are short, and rarely used words like velociraptorare longer.
Who wrote algorithms copyright c 2006?
Algorithms Copyright c 2006 S. Dasgupta, C. H. Papadimitriou, and U. V. Vazirani July 18, 2006 2 Contents Preface 9 0 Prologue 11
How does al Khwarizmi’s second algorithm work?
Al Khwarizmi’s second algorithm is a fascinating mixture of decimal and binary! The same algorithm can thus be repackaged in different ways. For variety we adopt a third formulation, the recursive algorithm of Figure 1.1, which directly implements the rule xy = ˆ 2(xby=2c) if yis even x+2(xby=2c) if yis odd: 24
What is the Sputnik algorithm?
When this algorithm was announced, it became a kind of fimathematical Sputnik,fl a splashy achievement that had the U.S. establishment worried, in the height of the Cold War, about the possible scientic superiority of the Soviet Union.