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  • 1
    Electronic Resource
    Electronic Resource
    The chromatic connectivity of graphs (1988)
    Springer
    Graphs and combinatorics 4 (1988), S. 229-233 
    Details
    ISSN: 1435-5914
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract A graphG ischromatically k-connected if every vertex cutset induces a subgraph with chromatic number at leastk. This concept arose in some work, involving the third author, on Ramsey Theory. (For the reference, see the text.) Here we begin the study of chromatic connectivity for its own sake. We show thatG is chromaticallyk-connected iff every homomorphic image of it isk-connected. IfG has no triangles then it is at most chromatically 1-connected, but we prove that the Kneser graphs provide examples ofK 4-free graphs with arbitrarily large chromatic connectivity. We also verify thatK 4-free planar graphs are at most chromatically 2-connected.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01864163
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Interactions Between Environmental Selenium and Sulphoxy Radicals (2000)
    Springer
    Journal of atmospheric chemistry 35 (2000), S. 19-31 
    Details
    ISSN: 1573-0662
    Keywords: aqueous phase ; cloud chemistry ; selenium ; sulphoxy radicals ; sulphur oxidation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Geosciences
    Notes: Abstract Chemical interactions between sulphoxy radical anions and elemental Se were investigated to show the influence of SO2 pollution on the atmospheric fate of selenium. Laboratory experiments were performed with elemental Se plates or fine powder exposed to sulphoxy radicals formed in situ during the autoxidation of SO2 dissolved in water. Impacts of the radicals were followed examining the topographic surface changes of Se (atomic force microscopy, AFM) and measuring the S(IV) autoxidation rate, essentially decreased in the presence of Se (conductometry). The experiments showed that remobilization of water insoluble selenium (elemental Se) may take place not only in atmosphere (cloud waters), but also in surface waters, soil and sediments contacting with SO2 polluted air. By scavenging radicals, selenium causes the retardation of the S(IV) autoxidation to sulphuric acid (acid rain), thus contributing to long-distance transport of unreacted S(IV). The more general problem of sulphoxy radical-induced atmospheric corrosion has been brought forward into consideration, as the radicals appear capable to damage diverse solid surfaces.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006227327933
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  • 3
    Electronic Resource
    Electronic Resource
    A structural theory of matrix-defined finite automata (1965)
    Springer
    Studia logica 16 (1965), S. 115-116 
    Details
    ISSN: 1572-8730
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Philosophy
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02176146
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  • 4
    Electronic Resource
    Electronic Resource
    Dwie definicje równoważności automatów (1970)
    Springer
    Studia logica 26 (1970), S. 16-16 
    Details
    ISSN: 1572-8730
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Philosophy
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02283838
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  • 5
    Electronic Resource
    Electronic Resource
    The endomorphism spectrum of an ordered set (1995)
    Springer
    Order 12 (1995), S. 45-55 
    Details
    ISSN: 1572-9273
    Keywords: Primary: 06A06, 05C35 ; Secondary: 05B05, 03C13 ; Ordered set ; order-preserving map ; endomorphism ; retract ; reflexive graph ; rigid ; projective plane
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Theendomorphism spectrum of an ordered setP, spec(P)={|f(P)|:f ∈ End(P)} andspectrum number, sp(P)=max(spec(P)\{|P|}) are introduced. It is shown that |P|〉(1/2)n(n − 1) n − 1 implies spec(P) = {1, 2, ...,n} and that if a projective plane of ordern exists, then there is an ordered setP of size 2n 2+2n+2 with spec(P)={1, 2, ..., 2n+2, 2n+4}. Lettingh(n)=max{|P|: sp(P)⩽n}, it follows thatc 1 n 2⩽h(n)⩽c 2 n n+1 for somec 1 andc 2. The lower bound disproves the conjecture thath(n)⩽2n. It is shown that if |P| − 1 ∈ spec(P) thenP has a retract of size |P| − 1 but that for all κ there is a bipartite ordered set with spec(P) = {|P| − 2, |P| − 4, ...} which has no proper retract of size⩾|P| − κ. The case of reflexive graphs is also treated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01108589
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  • 6
    Electronic Resource
    Electronic Resource
    Computer simulation of non-linear preparative chromatography processes (1989)
    Springer
    Chromatographia 28 (1989), S. 293-299 
    Details
    ISSN: 1612-1112
    Keywords: Preparative liquid chromatography ; Column overloading ; Computer simulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Summary A theory of non-linear chromatography based on the mass balance equation is presented. The model is a system of partial differential equations and it includes axial dispersion in the mobile phase, flow in the mobile phase and mass transfer between phases. In the case of the injection of a mixture competition between components for places in the stationary or the mobile phase is taken into account. In the paper are discussed: numerical calculations of concentration and volume overloading and the effect of the mutual influence of the components of the injected mixture on the process of mass transfer between phases. Additionally, results of experiments for convex and concave adsorption isotherms are presented. In both cases the results obtained qualitatively confirm the theoretical analyses.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02260778
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  • 7
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    Computer simulation of non-linear preparative chromatography processes (1989)
    Springer
    Details
    Publication Date: 1989-09-01
    Print ISSN: 0009-5893
    Electronic ISSN: 1612-1112
    Topics: Chemistry and Pharmacology
    Published by Springer
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