TY - JOUR A1 - Allan, Eric A1 - Weisser, Wolfgang W. A1 - Fischer, Markus A1 - Schulze, Ernst-Detlef A1 - Weigelt, Alexandra A1 - Roscher, Christiane A1 - Baade, Jussi A1 - Barnard, Romain L. A1 - Bessler, Holger A1 - Buchmann, Nina A1 - Ebeling, Anne A1 - Eisenhauer, Nico A1 - Engels, Christof A1 - Fergus, Alexander J. F. A1 - Gleixner, Gerd A1 - Gubsch, Marlen A1 - Halle, Stefan A1 - Klein, Alexandra-Maria A1 - Kertscher, Ilona A1 - Kuu, Annely A1 - Lange, Markus A1 - Le Roux, Xavier A1 - Meyer, Sebastian T. A1 - Migunova, Varvara D. A1 - Milcu, Alexandru A1 - Niklaus, Pascal A. A1 - Oelmann, Yvonne A1 - Pasalic, Esther A1 - Petermann, Jana S. A1 - Poly, Franck A1 - Rottstock, Tanja A1 - Sabais, Alexander C. W. A1 - Scherber, Christoph A1 - Scherer-Lorenzen, Michael A1 - Scheu, Stefan A1 - Steinbeiss, Sibylle A1 - Schwichtenberg, Guido A1 - Temperton, Vicky A1 - Tscharntke, Teja A1 - Voigt, Winfried A1 - Wilcke, Wolfgang A1 - Wirth, Christian A1 - Schmid, Bernhard T1 - A comparison of the strength of biodiversity effects across multiple functions JF - Oecologia N2 - In order to predict which ecosystem functions are most at risk from biodiversity loss, meta-analyses have generalised results from biodiversity experiments over different sites and ecosystem types. In contrast, comparing the strength of biodiversity effects across a large number of ecosystem processes measured in a single experiment permits more direct comparisons. Here, we present an analysis of 418 separate measures of 38 ecosystem processes. Overall, 45 % of processes were significantly affected by plant species richness, suggesting that, while diversity affects a large number of processes not all respond to biodiversity. We therefore compared the strength of plant diversity effects between different categories of ecosystem processes, grouping processes according to the year of measurement, their biogeochemical cycle, trophic level and compartment (above- or belowground) and according to whether they were measures of biodiversity or other ecosystem processes, biotic or abiotic and static or dynamic. Overall, and for several individual processes, we found that biodiversity effects became stronger over time. Measures of the carbon cycle were also affected more strongly by plant species richness than were the measures associated with the nitrogen cycle. Further, we found greater plant species richness effects on measures of biodiversity than on other processes. The differential effects of plant diversity on the various types of ecosystem processes indicate that future research and political effort should shift from a general debate about whether biodiversity loss impairs ecosystem functions to focussing on the specific functions of interest and ways to preserve them individually or in combination. KW - Bottom-up effects KW - Carbon cycling KW - Ecological synthesis KW - Ecosystem processes KW - Grasslands KW - Jena experiment KW - Nitrogen cycling Y1 - 2013 U6 - https://doi.org/10.1007/s00442-012-2589-0 SN - 0029-8549 VL - 173 IS - 1 SP - 223 EP - 237 PB - Springer CY - New York ER - TY - JOUR A1 - Casel, Katrin A1 - Fernau, Henning A1 - Gaspers, Serge A1 - Gras, Benjamin A1 - Schmid, Markus L. T1 - On the complexity of the smallest grammar problem over fixed alphabets JF - Theory of computing systems N2 - In the smallest grammar problem, we are given a word w and we want to compute a preferably small context-free grammar G for the singleton language {w} (where the size of a grammar is the sum of the sizes of its rules, and the size of a rule is measured by the length of its right side). It is known that, for unbounded alphabets, the decision variant of this problem is NP-hard and the optimisation variant does not allow a polynomial-time approximation scheme, unless P = NP. We settle the long-standing open problem whether these hardness results also hold for the more realistic case of a constant-size alphabet. More precisely, it is shown that the smallest grammar problem remains NP-complete (and its optimisation version is APX-hard), even if the alphabet is fixed and has size of at least 17. The corresponding reduction is robust in the sense that it also works for an alternative size-measure of grammars that is commonly used in the literature (i. e., a size measure also taking the number of rules into account), and it also allows to conclude that even computing the number of rules required by a smallest grammar is a hard problem. On the other hand, if the number of nonterminals (or, equivalently, the number of rules) is bounded by a constant, then the smallest grammar problem can be solved in polynomial time, which is shown by encoding it as a problem on graphs with interval structure. However, treating the number of rules as a parameter (in terms of parameterised complexity) yields W[1]-hardness. Furthermore, we present an O(3(vertical bar w vertical bar)) exact exponential-time algorithm, based on dynamic programming. These three main questions are also investigated for 1-level grammars, i. e., grammars for which only the start rule contains nonterminals on the right side; thus, investigating the impact of the "hierarchical depth" of grammars on the complexity of the smallest grammar problem. In this regard, we obtain for 1-level grammars similar, but slightly stronger results. KW - grammar-based compression KW - smallest grammar problem KW - straight-line KW - programs KW - NP-completeness KW - exact exponential-time algorithms Y1 - 2020 U6 - https://doi.org/10.1007/s00224-020-10013-w SN - 1432-4350 SN - 1433-0490 VL - 65 IS - 2 SP - 344 EP - 409 PB - Springer CY - New York ER - TY - JOUR A1 - Casel, Katrin A1 - Dreier, Jan A1 - Fernau, Henning A1 - Gobbert, Moritz A1 - Kuinke, Philipp A1 - Villaamil, Fernando Sánchez A1 - Schmid, Markus L. A1 - van Leeuwen, Erik Jan T1 - Complexity of independency and cliquy trees JF - Discrete applied mathematics N2 - An independency (cliquy) tree of an n-vertex graph G is a spanning tree of G in which the set of leaves induces an independent set (clique). We study the problems of minimizing or maximizing the number of leaves of such trees, and fully characterize their parameterized complexity. We show that all four variants of deciding if an independency/cliquy tree with at least/most l leaves exists parameterized by l are either Para-NP- or W[1]-hard. We prove that minimizing the number of leaves of a cliquy tree parameterized by the number of internal vertices is Para-NP-hard too. However, we show that minimizing the number of leaves of an independency tree parameterized by the number k of internal vertices has an O*(4(k))-time algorithm and a 2k vertex kernel. Moreover, we prove that maximizing the number of leaves of an independency/cliquy tree parameterized by the number k of internal vertices both have an O*(18(k))-time algorithm and an O(k 2(k)) vertex kernel, but no polynomial kernel unless the polynomial hierarchy collapses to the third level. Finally, we present an O(3(n) . f(n))-time algorithm to find a spanning tree where the leaf set has a property that can be decided in f (n) time and has minimum or maximum size. KW - independency tree KW - cliquy tree KW - parameterized complexity KW - Kernelization KW - algorithms KW - exact algorithms Y1 - 2018 U6 - https://doi.org/10.1016/j.dam.2018.08.011 SN - 0166-218X SN - 1872-6771 VL - 272 SP - 2 EP - 15 PB - Elsevier CY - Amsterdam [u.a.] ER - TY - JOUR A1 - Hofmann, Alexander J. L. A1 - Züfle, Simon A1 - Shimizu, Kohei A1 - Schmid, Markus A1 - Wessels, Vivien A1 - Jäger, Lars A1 - Altazin, Stephane A1 - Ikegami, Keitaro A1 - Khan, Motiur Rahman A1 - Neher, Dieter A1 - Ishii, Hisao A1 - Ruhstaller, Beat A1 - Brütting, Wolfgang T1 - Dipolar Doping of Organic Semiconductors to Enhance Carrier Injection JF - Physical review applied N2 - If not oriented perfectly isotropically, the strong dipole moment of polar organic semiconductor materials such as tris-(8-hydroxyquinolate)aluminum (Alq3) will lead to the buildup of a giant surface potential (GSP) and thus to a macroscopic dielectric polarization of the organic film. Despite this having been a known fact for years, the implications of such high potentials within an organic layer stack have only been studied recently. In this work, the influence of the GSP on hole injection into organic layers is investigated. Therefore, we apply a concept called dipolar doping to devices consisting of the prototypical organic materials N,N′-Di(1-naphthyl)-N,N′-diphenyl-(1,1′-biphenyl)-4,4′-diamine (NPB) as nonpolar host and Alq3 as dipolar dopant with different mixing ratios to tune the GSP. The mixtures are investigated in single-layer monopolar devices as well as bilayer metal/insulator/semiconductor structures. Characterization is done electrically using current-voltage (I-V) characteristics, impedance spectroscopy, and charge extraction by linearly increasing voltage and time of flight, as well as with ultraviolet photoelectron spectroscopy. We find a maximum in device performance for moderate to low doping concentrations of the polar species in the host. The observed behavior can be described on the basis of the Schottky effect for image-force barrier lowering, if the changes in the interface dipole, the carrier mobility, and the GSP induced by dipolar doping are taken into account. KW - Carrier dynamics KW - Electric polarization KW - Optoelectronics KW - Organic electronics KW - Doped semiconductors KW - Interfaces KW - Organic LEDs KW - Organic semiconductors Y1 - 2019 U6 - https://doi.org/10.1103/PhysRevApplied.12.064052 SN - 2331-7019 VL - 12 IS - 6 PB - American Physical Society CY - College Park ER -