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Electronic Journal of Combinatorics
Article . 2003 . Peer-reviewed
Data sources: Crossref
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zbMATH Open
Article
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https://doi.org/10.1007/3-540-...
Part of book or chapter of book . 2002 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2002
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Sorting with a Forklift

Sorting with a forklift
Authors: Michael M. Atkinson; Michael H. Albert;

Sorting with a Forklift

Abstract

A fork stack is a generalised stack which allows pushes and pops of several items at a time. We consider the problem of determining which input streams can be sorted using a single forkstack, or dually, which permutations of a fixed input stream can be produced using a single forkstack. An algorithm is given to solve the sorting problem and the minimal unsortable sequences are found. The results are extended to fork stacks where there are bounds on how many items can be pushed and popped at one time. In this context we also establish how to enumerate the collection of sortable sequences.

Related Organizations
Keywords

FOS: Computer and information sciences, Discrete Mathematics (cs.DM), sortable sequences, Exact enumeration problems, generating functions, Combinatorics in computer science, G.2.1, permutation, Computer Science - Data Structures and Algorithms, FOS: Mathematics, Mathematics - Combinatorics, Data Structures and Algorithms (cs.DS), Combinatorics (math.CO), Computer Science - Discrete Mathematics

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
Green
gold