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  • 1
    Electronic Resource
    Electronic Resource
    Subgraphs of hypercubes and subdiagrams of boolean lattices (1996)
    Springer
    Order 13 (1996), S. 41-64 
    Details
    ISSN: 1572-9273
    Keywords: 05C10 ; 06A07 ; 05C78 ; 68Q10 ; Boolean lattice ; hypercube ; embedding ; coloring
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we extensively treat the following problems: When is a given graph a subgraph (resp. induced subgraph) of a hypercube and when is an ordered set a subdiagram (resp. induced subdiagram) of a Boolean lattice? We present characterizations for that in terms of suitable edge-colorings of the graphs and, for ordered sets, of their covering graphs.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00383967
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Finding all closed sets: A general approach (1991)
    Springer
    Order 8 (1991), S. 283-290 
    Details
    ISSN: 1572-9273
    Keywords: 06A15 ; 68RXX ; Closure operator
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We present a unifying theoretical and algorithmic approach to the problems to determine all closed sets of a closure operator, to do this up to isomorphism, and to determine the elements of certain ideals of a power set. This will be done by generalizing the concept of closure operators using the interplay of several orders of a power set.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00383449
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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