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Introduction to Algorithms, Second Edition

Introduction to Algorithms, Second Edition,Thomas H. Cormen,Charles E. Leiserson,Ronald L. Rivest,Clifford Stein

Introduction to Algorithms, Second Edition   (Citations: 12540)
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Published in 2001.
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    • ...Proof: An optimization problem can be solved by a greedy algorithm, if two properties hold [8]: the greedy choice property, and the optimal sub-structure property...
    • ...Having proved that a greedy approach can compute the paths with the minimum ETOP cost, we design an algorithm based on Dijkstra’s single-source shortest path algorithm [8] for doing so. The algorithm takes as input: (a) a graph representing the the network, (b) the edge weights, represented by the i (the probability of no drop), (c) a bound on the number of retransmissions at the link layer, K, and (d) a source node...

    Gentian Jakllariet al. Link Positions Matter: A Noncommutative Routing Metric for Wireless Me...

    • ...There exists an 2-approximate algorithm [12] for the vertex cover problem.,Similar to the proof of the approximate ratio bound of VC problem [12], we prove the approximate ratio bound of Algorithm 2.,We first compute the shortest path between each pair of vertices in a query q using the Floyd Algorithm [12]...

    Zhao Sunet al. Efficient Subgraph Matching on Billion Node Graphs

    • ...For example, the classic algorithm of Dijkstra [11] would take days to run on a web graph containing tens of billions of nodes and trillions of edges.,We describe the implementations of five basic graph algorithms, viz., PageRank [28], SALSA [20, 25], SCC [36, 4], WCC [11], and ASP [13], on a prototypical member of each model and further compare these implementations in terms of performance, scalability, and ease of implementation.,Algorithm 4 has resemblance to the algorithm for computing WCC using disjoint-set operations [11].,The SHS implementation of WCC is based on disjoint-set operations [11]...

    Marc Najorket al. Of hammers and nails: an empirical comparison of three paradigms for p...

    • ...If (v xy ) is the table of 0s and 1s associated with a binary relation ρ (by putting v xy = 1 if and only if xy ∈ ρ), then (v ∗ ) is exactly the table associated with ρ ∗ ,t he transitiveclosureof ρ.So,theoperation (v xy ) � (v ∗ xy )canbeviewedasaquantitative analogue of the notion of transitive closure (see Cormen et al. 2001, Chap...
    • ...Floyd–Warshall algorithm (Cormen et al. 2001, §25.2)...

    Rosa Campset al. A continuous rating method for preferential voting: the complete case

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