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Prof. Dr. Michael Stiebitz

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Publications at the institute since 1990

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Henn, Mark-Alexander; Mehl, Christian; Trunk, Carsten
Hyponormal and strongly hyponormal matrices in inner product spaces. - In: Linear algebra and its applications : LAA.. - New York, NY : American Elsevier Publ., Bd. 433 (2010), 6, S. 1055-1076
Brandt, Stephan;
A note on generalized pentagons. - In: Discrete mathematics. - Amsterdam [u.a.] : Elsevier, Bd. 310 (2010), 20, S. 2766-2767
Böhme, Thomas; Kostochka, Alexandr; Thomason, Andrew
Hadwiger numbers and over-dominating colourings. - In: Discrete mathematics. - Amsterdam [u.a.] : Elsevier, Bd. 310 (2010), 20, S. 2662-2665
Löwenstein, Christian; Rautenbach, Dieter
Pairs of disjoint dominating sets and the minimum degree of graphs. - In: Graphs and combinatorics. - Tokyo : Springer-Verl. Tokyo, ISSN 1435-5914, Bd. 26 (2010), 3, S. 407-424
Löwenstein, Christian; Rautenbach, Dieter; Schiermeyer, Ingo
Cycle length parities and the chromatic number. - In: Journal of graph theory. - New York, NY [u.a.] : Wiley, ISSN 1097-0118, Bd. 64 (2010), 3, S. 210-218
Brandt, Stephan; Müttel, Janina; Rautenbach, Dieter; Regen, Friedrich;
Minimum degree and density of binary sequences. - In: European journal of combinatorics. - London : Academic Press, Bd. 31 (2010), 7, S. 1936-1945
Henning, Michael A.; Löwenstein, Christian; Rautenbach, Dieter; Southey, Justin
Disjoint dominating and total dominating sets in graphs. - In: Discrete applied mathematics. - [S.l.] : Elsevier, Bd. 158 (2010), 15, S. 1615-1523
Kostochka, Alexandr V.; Král', Daniel; Sereni, Jean-Sébastien; Stiebitz, Michael
Graphs with bounded tree-width and large odd-girth are almost bipartite. - In: Journal of combinatorial theory. . - Orlando, Fla. : Academic Press, 1971- ; ZDB-ID: 1469158-9, Bd. 100 (2010), 6, S. 554-559
Hildenbrandt, Regina;
DA stochastic dynamic programming, stochastic dynamic distance optimal partitioning problems and partitions-requirements-matrices
1. Aufl.. - Göttingen : Cuvillier, 2010. - 298 S.. - Literaturverz. S. 284 - 286

Behrndt, Jussi; Luger, Annemarie; Trunk, Carsten
On the negative squares of a class of self-adjoint extensions in Krein spaces. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2010. - Online-Ressource (PDF-Datei: 34 S., 386 KB). . - (Preprint. - M10,16)

A description of all exit space extensions with finitely many negative squares of a symmetric operator of defect one is given via Krein's formula. As one of the main results an exact characterization of the number of negative squares in terms of a fixed canonical extension and the behaviour of a function t (that determines the exit space extension in Krein's formula) at zero and at infinity is obtained. To this end the class of matrix valued D k n×n -functions is introduced and, in particular, the properties of the inverse of a certain D k 2×2 -function which is closely connected with the spectral properties of the exit space extensions with finitely many negative squares is investigated in detail. Among the main tools here are the analytic characterization of the degree of non-positivity of generalized poles of matrix valued generalized Nevanlinna functions and some extensions of recent factorization results.