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发表于 2025-3-23 10:27:40
https://doi.org/10.1007/978-3-031-06007-6We discuss connections between sorting algorithms and graph theory. Taking a graph-theoretic view of sorting, we motivate generalizations of the problem of serial sorting, and describe recent results on parallel sorting, and sorting in rounds, which depend on deep graph-theoretic results.
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发表于 2025-3-23 16:12:30
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发表于 2025-3-23 20:30:55
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发表于 2025-3-23 23:28:21
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发表于 2025-3-24 03:39:00
Graphs and Order978-94-009-5315-4Series ISSN 1389-2185
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发表于 2025-3-24 06:56:52
Comparability Graphsts about comparability graphs. We ignore algorithmic aspects of comparability graphs because they are the subject of Möhring ..The characterization problem for comparability graphs was considered first. The same characterization is given in Ghouila-Houri and in Gilmore and Hoffman [1964
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发表于 2025-3-24 11:16:29
Algorithmic Aspects of Comparability Graphs and Interval Graphs graphs and partial orders both for theoretical investigations on their structural properties, and the development of efficient algorithmic methods for otherwise NP-hard combinatorial (optimization) problems on partial orders and their comparability graphs..The first part of the paper gives a survey
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发表于 2025-3-24 18:23:18
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发表于 2025-3-24 19:27:38
The Information Theoretic Bound for Problems on Ordered Sets and Graphsps needed in worst case, where a step consists of a comparison of two elements . and . (this comparison is denoted .). The result of each comparison reduces the set of possible orderings of . to one of two sets: those in which . < . and those in which . < .. Since it is possible that the larger of t
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发表于 2025-3-25 02:15:25
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