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On the computer enumeration of finite topologies

Published: 01 May 1967 Publication History
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References

[1]
Davis, R. L. The number of structures of finite relations. Proc. Am. Math. Soc. 4 (1953), 486-495.
[2]
HARARY, F. Unsolved problems in the enumeration of graphs. Publ. Math. Inst. Hung. Acad. Sci. a (1960), 63-95.
[3]
HARARY, F. Combinatorial problems in graphical enumeration. In E. F. Beckenbach (ED.), Applied Combinatorial Mathematics, Wiley, New York, 1964.
[4]
HARARY, F., NORMAN, R. Z., AND CARTWRIGHT, D. Structural Models: An Introduction to the Theory of Directed Graphs. Wiley, New York, 1965.
[5]
HARARY, F., AND READ, R. C. The probability of a given 1- choice structure. Psychometrika (1966).
[6]
KRISHNAMURTHY, V. On the number of topologies on a finite set. Am. Math. Monthly 73 (1966), 154-157.
[7]
RIORDAN, J. An Introduction to Combinatorial Analysis. Wiley, New York, 1958.
[8]
WINE, R. L., AND FREUND, J. E. On the enumeration, of decision patterns involving n means. Ann. Math, Stat. 28 (1957), 256-259.

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    cover image Communications of the ACM
    Communications of the ACM  Volume 10, Issue 5
    May 1967
    79 pages
    ISSN:0001-0782
    EISSN:1557-7317
    DOI:10.1145/363282
    Issue’s Table of Contents
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 01 May 1967
    Published in CACM Volume 10, Issue 5

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    • (2024)Homology of transitive digraphs and discrete spacesSbornik: Mathematics10.4213/sm9842e214:8(1121-1139)Online publication date: 11-Jan-2024
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    • (2023)Outtopological Digraph Space and Some Related PropertiesEarthline Journal of Mathematical Sciences10.34198/ejms.11223.361373(361-373)Online publication date: 11-Jan-2023
    • (2022)New Topological Structure related from DigraphEarthline Journal of Mathematical Sciences10.34198/ejms.11223.303316(303-316)Online publication date: 6-Dec-2022
    • (2022)The di-topological texture graphsThermal Science10.2298/TSCI22S2515K26:Spec. issue 2(515-524)Online publication date: 2022
    • (2022)On some formulas in the problem of enumeration of finite labeled topologiesDiscrete Mathematics, Algorithms and Applications10.1142/S179383092250075615:02Online publication date: 11-Apr-2022
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    • (2021)Topologies on the n-Element Set Consistent with Topologies Close to Discrete on an (n−1)-Element SetUkrainian Mathematical Journal10.1007/s11253-021-01921-2Online publication date: 23-Sep-2021
    • (2020)Set-Valuations of Graphs and Their ApplicationsHandbook of Research on Advanced Applications of Graph Theory in Modern Society10.4018/978-1-5225-9380-5.ch008(171-207)Online publication date: 2020
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