In this paper we present results on changing and unchanging of the domination number with respect to the nondegenerate property P, denoted by γP (G), when a graph G is modified by deleting a vertex or deleting edges. A graph G is (γP (G), k)P -critical if γP (G − S) < γP (G) for any set S ( V (G) with |S| = k. Properties of (γP , k)P -critical graphs are studied. The plus bondage number with respect to the property P, denoted b + P (G), is the cardinality of the smallest set of edges U ⊆ E(G) such that γP (G − U) > γP (G). Some known results for ordinary domination and bondage numbers are extended to γP (G) and b + P (G). Conjectures concerning b + P (G) are posed.
In the article, the authors respond to the main arguments that were voiced during discussions of the results of the project ‘Sexual Harassment in Universities: Incidence and Perception’, which the authors’ team carried out in 2008-2009. They do not aim to defend the research itself, but rather to analyse the dominant discourse on sexual harassment in the Czech environment from a gender perspective. This is because they see a refusal to accept gender as a relevant analytical category. They argue for the fundamental role of gender in the conceptualization of sexual harassment and for further refinement of its significance in gender‑informed definitions of sexual harassment. In the authors’ opinion, these definitions do not sufficiently reflect the current state of gender theories. The main argument of the text concerns the relationship between sexual and gender‑motivated harassment. The gender perspective offers an intrinsically coherent conceptualization of sexual harassment, including its causes and options for handling individual cases. In the article, the authors discuss the extent to which the gender order is a precondition for sexual harassment. This view allows them to think also about the less discussed types of sexual harassment (e.g. homophobic harassment) or to consider the ambivalence of some situations in which sexual harassment occurs (i.e. the dynamics of pleasant and unpleasant feelings, women’s initiative, etc.). At the same time, it reveals that power inequalities do not result only from institutional hierarchies between teachers and students, but also from the logic of the existing gender order., Kateřina Kolářová, Irena Smetáčková, Petr Pavlík., Poznámky na str. 83-85 (23), Biografické poznámky o autorech článku na str. 85, Obsahuje bibliografii, and Resumé o klíčová slova anglicky na str. 75
Twentieth-century photosynthesis research had strong roots in Germany, with the cell physiologist Otto H. Warburg being among its most influential figures. He was also one of the few scientists of Jewish ancestry who kept his post as a director of a research institution throughout the Nazi period. Based on archival sources, the paper investigates Warburg’s fate during these years at selected episodes. He neither collaborated with the regime nor actively resisted; he was harrassed by bureaucracy and denunciated to the secret police, but saved by powerful figures in economy, politics, and science. Warburg reciprocated this favour with problematic testimonies of political integrity after 1945. Warburg’s case, thus, defies wellestablished notions of how scientists in Germany lived and worked during the Nazi regime, and, therefore, helps provide a more nuanced perspective on this theme., K. Nickelsen., and Obsahuje bibliografické odkazy
We observe that each set from the system A˜ (or even C˜) is Γ-null; consequently, the version of Rademacher’s theorem (on Gˆateaux differentiability of Lipschitz functions on separable Banach spaces) proved by D. Preiss and the author is stronger than that proved by D. Preiss and J. Lindenstrauss. Further, we show that the set of non-differentiability points of a convex function on n is σ-strongly lower porous. A discussion concerning sets of Fréchet non-differentiability points of continuous convex functions on a separable Hilbert space is also presented.
We study the semigroups isomorphic to principal ideals of finitely generated commutative monoids. We define the concept of finite presentation for this kind of semigroups. Furthermore, we show how to obtain information on these semigroups from their presentations.