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Matematicheskie Zametki, 2009, Volume 85, Issue 1, Pages 65–72
DOI: https://doi.org/10.4213/mzm4349 (Mi mzm4349) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Condensing Timetables with Target Date Divisible by Each Instructor's Number of Teaching Hours

A. M. Magomedov

Daghestan State University
Full-text PDF (457 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm4349
Abstract: Initial data required to construct a school timetable which can be represented as a matrix with a constant number of nonzero elements in each row and a constant set of elements in each column are considered. Conditions are determined under which this matrix can be transformed so that the sets of elements in each row and each column are preserved and the nonzero elements in every row are consecutive.
Keywords: scheduling, timetabling, integer matrix, multiset, condensed timetable, multigraph, Hamiltonian cycle, dynamic programming.
Received: 29.11.2007
English version:
Mathematical Notes, 2009, Volume 85, Issue 1, Pages 61–67
DOI: https://doi.org/10.1134/S0001434609010064
Bibliographic databases:
UDC: 519.8+519.1
Language: Russian
Citation: A. M. Magomedov, “Condensing Timetables with Target Date Divisible by Each Instructor's Number of Teaching Hours”, Mat. Zametki, 85:1 (2009), 65–72; Math. Notes, 85:1 (2009), 61–67
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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