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  • Articles  (14)
  • 05 B 35  (7)
  • 92A07  (7)
  • Springer  (14)
  • American Meteorological Society
  • Blackwell Publishing Ltd
  • Copernicus
  • Hindawi
  • Institute of Electrical and Electronics Engineers
  • Molecular Diversity Preservation International
  • Springer Science + Business Media
  • 2020-2022
  • 2010-2014
  • 1985-1989  (14)
  • 1960-1964
  • 1989  (14)
  • Mathematics  (14)
  • Geography
  • Architecture, Civil Engineering, Surveying
Collection
  • Articles  (14)
Source
Keywords
Publisher
  • Springer  (14)
  • American Meteorological Society
  • Blackwell Publishing Ltd
  • Copernicus
  • Hindawi
    • +
Years
  • 2020-2022
  • 2010-2014
  • 1985-1989  (14)
  • 1960-1964
Year
Topic
  • Mathematics  (14)
  • Geography
  • Architecture, Civil Engineering, Surveying
  • 1
    Electronic Resource
    Electronic Resource
    Inseparability graphs of oriented matroids (1989)
    Springer
    Combinatorica 9 (1989), S. 75-84 
    Details
    ISSN: 1439-6912
    Keywords: 05 B 35
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We determine the inseparability graphs of uniform oriented matroids and of graphic oriented matroids. For anyr, n such that 4≦r≦n−3, examples of rankr uniform oriented matroids onn elements with a given inseparability graph are obtained by simple constructions of polytopes having prescribed separation properties.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02122686
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  • 2
    Electronic Resource
    Electronic Resource
    Matroid matching in pseudomodular lattices (1989)
    Springer
    Combinatorica 9 (1989), S. 145-152 
    Details
    ISSN: 1439-6912
    Keywords: 05 B 35
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The matroid matching problem (also known as matroid parity problem) has been intensively studied by several authors. Starting from very special problems, in particular the matching problem and the matroid intersection problem, good characterizations have been obtained for more and more general classes of matroids. The two most recent ones are the class of representable matroids and, later on, the class of algebraic matroids (cf. [4] and [2]). We present a further step of generalization, showing that a good characterization can also be obtained for the class of socalled pseudomodular matroids, introduced by Björner and Lovász (cf. [1]). A small counterexample is included to show that pseudomodularity still does not cover all matroids that behave well with respect to matroid matching.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02124676
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  • 3
    Electronic Resource
    Electronic Resource
    Matroids algebraic overF(t) are algebraic overF (1989)
    Springer
    Combinatorica 9 (1989), S. 107-109 
    Details
    ISSN: 1439-6912
    Keywords: 05 B 35 ; 12 F 20
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In his thesis [3] M. J. Piff conjectured that a matroid, which is algebraic over a fieldFit) witht transcendent overF, must be algebraic overF. Two proofs have appeared, one by Shameeva [5] and another one by the author [2], but both are unsatisfactory. In this paper I will settle conjecture by applying a theorem of Seidenberg.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02122691
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  • 4
    Electronic Resource
    Electronic Resource
    Some generalizations of the criss-cross method for the linear complementarity problem of oriented matroids (1989)
    Springer
    Combinatorica 9 (1989), S. 189-198 
    Details
    ISSN: 1439-6912
    Keywords: 05 B 35 ; 90 C 48
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Quadratic programming, symmetry, positive (semi) definiteness and the linear complementary problem were generalized by Morris and Todd to oriented matroids. Todd gave a constructive solution for the quadratic programming problem of oriented matroids. Using Las Vergnas' lexicographic extension and Bland's basic tableau construction Todd generalized Lemke's quadratic programming algorithm for this problem. Here some generalizations of Terlaky's finite criss-cross method are presented for oriented matroid quadratic programming. These algorithms are based on the smallest subscript rule and on sign patterns, and do not preserve feasibility on any subsets. In fact two variants of the generalized criss-cross method are presented. Finally two special cases (oriented matroid linear programming and the definite case) are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02124679
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  • 5
    Electronic Resource
    Electronic Resource
    A nowhere-zero point in linear mappings (1989)
    Springer
    Combinatorica 9 (1989), S. 393-395 
    Details
    ISSN: 1439-6912
    Keywords: 05 B 35 ; 05 B 25 ; 12 C 05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We state the following conjecture and prove it for the case whereq is a proper prime power: Let A be a nonsingular n by n matrix over the finite field GFqq≧4, then there exists a vector x in (GFq)n such that both x and Ax have no zero component.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02125351
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  • 6
    Electronic Resource
    Electronic Resource
    On fixing elements in matroid minors (1989)
    Springer
    Combinatorica 9 (1989), S. 69-74 
    Details
    ISSN: 1439-6912
    Keywords: 05 B 35
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract LetF be a collection of 3-connected matroids which is (3, 1)-rounded, that is, whenever a 3-connected matroidM has a minor in F ande is an element ofM, thenM has a minor in F whose ground set contains.e. The aim of this note is to prove that, for all sufficiently largen, the collection ofn-element 3-connected matroids having some minor inF is also (3, 1)-rounded.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02122685
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  • 7
    Electronic Resource
    Electronic Resource
    Cones of alternating and cut submodular set functions (1989)
    Springer
    Combinatorica 9 (1989), S. 21-32 
    Details
    ISSN: 1439-6912
    Keywords: 52 A 25 ; 05 B 35 ; 05 C 99
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We describe facets of the cones of alternating set functions and cut submodular set functions generated by directed and undirected graphs and by uniform even hypergraphs. This answers a question asked by L. Lovász at the Bonn Mathematical Programming Conference in 1982. We show that there is a network flow algorithm for minimizing a hypergraph cut set function.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02122680
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  • 8
    Electronic Resource
    Electronic Resource
    On a generalized mathematical model of the immune response (1989)
    Springer
    Acta applicandae mathematicae 14 (1989), S. 115-123 
    Details
    ISSN: 1572-9036
    Keywords: 92A07 ; immune system ; cell differentiation ; modelling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00046678
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  • 9
    Electronic Resource
    Electronic Resource
    Recent results in mathematical modeling of infectious diseases (1989)
    Springer
    Acta applicandae mathematicae 14 (1989), S. 125-133 
    Details
    ISSN: 1572-9036
    Keywords: 92A07 ; stationary solution ; immune response ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Some results connected with a simple mathematical model of infectious disease are discussed in order to demonstrate the approach to the modelling of such real processes. A more complicated model of antiviral immune response is presented. A new modification of this model in which targets for the viruses are immunocompetent cells is suggested.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00046679
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  • 10
    Electronic Resource
    Electronic Resource
    Distribution of recirculating lymphocytes: A stochastic model foundation (1989)
    Springer
    Acta applicandae mathematicae 14 (1989), S. 143-153 
    Details
    ISSN: 1572-9036
    Keywords: 92A07 ; compartments ; Markov chains ; bilinear time series
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00046681
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