On αrγs(k)-perfect graphs

AbstractFor some integer k⩾0 and two graph parameters π and τ, a graph G is called πτ(k)-perfect, if π(H)−τ(H)⩽k for every induced subgraph H of G. For r⩾1 let αr and γr denote the r-(distance)-independence and r-(distance)-domination number, respectively. In (J. Graph Theory 32 (1999) 303–310), I. Zverovich gave an ingenious complete characterization of α1γ1(k)-perfect graphs in terms of forbidden induced subgraphs. In this paper we study αrγs(k)-perfect graphs for r,s⩾1. We prove several properties of minimal αrγs(k)-imperfect graphs. Generalizing Zverovich's main result in (J. Graph Theory 32 (1999) 303–310), we completely characterize α2r−1γr(k)-perfect graphs for r⩾1. Furthermore, we characterize claw-free α2γ2(k)-perfect graphs

Cyclic sums, network sharing and restricted edge cuts in graphs with long cycles

Cyclic Sums, Network Sharing and Restricted Edge Cuts in Graphs with Long Cycles Dieter Rautenbach , Lutz Volkmann Preprint series: 07-06, 8 MSC 2000 05A17 Partitions of integers 05C40 Connectivity Abstract We study graphs G = (V,E) containing a long cycle which for given integers a1, a2, ..., ak 2 N have an edge cut whose removal results in k components with vertex sets V1, V2, ..., Vk such that |Vi| ai for 1 i k. Our results closely relate to problems and recent research in network sharing and network reliability. Keywords: restricted edge connectivity, arbitrarily vertex decomposable graph, network reliability, network sharin

Проблемы нефтедобычи месторождения Жетыбай

AbstractThe generalized Randić index Rα(G) of a graph G is the sum of (dG(u)dG(v))α over all edges uv of G. Using a linear-programming approach, we establish results on graphs with a given number of vertices and edges and a bounded maximum degree that are of minimum generalized Randić index for α∈{−12,−1}

On the existence of edge cuts leaving several large components

We characterize graphs of large enough order or large enough minimum degree which contain edge cuts whose deletion results in a graph with a specified number of large components. This generalizes and extends recent results due to Ou (Edge cuts leaving components of order at least m, Discrete Math. 305 (2005), 365-371) and Zhang and Yuan (A proof of an inequality concerning k-restricted edge connectivity, Discrete Math. 304 (2005), 128-134)

Динамическая идентификация погружных асинхронных двигателей для скважинной нефтедобычи

Цель работы - составление и апробирование метода динамической идентификации погружных асинхронных двигателей для скважинной нефтедобычи по мгновенным значениям статорных токов и напряжений. Объектом исследования являются математическая модель погружного асинхронного двигателя и лабораторные установки, включающие в себя асинхронные двигатели. В процессе исследования проводились работы, связанные с математическим описанием процессов, происходящих в погружных асинхронных двигателях, разработкой метода динамической идентификации параметров погружных асинхронных двигателей и его проверкой на математической модели и лабораторной установке. Область применения: погружные асинхронные двигатели для скважинной нефтедобычи.The purpose of the work is to compile and test the method of dynamic identification of submersible asynchronous motors for oil production by instantaneous values ??of stator currents and voltages. The object of the study is a mathematical model of a submersible asynchronous motor and laboratory facilities that include asynchronous motors. In the process of research, work was carried out related to the mathematical description of the processes occurring in submerged asynchronous engines, the development of a method for dynamically identifying the parameters of submerged asynchronous motors and its verification in a mathematical model and a laboratory installation. Application: submersible induction motors for oil production

Differential Immune-Reactivity and Subcellular Distribution Reveal the Multifunctional Character of Profilin in Pollen as Major Effect of Sequences Polymorphism

Trabajo presentado al Annual Meeting of the American Society of Agronomy and Crop Science Society and Soil Science Society of America, celebrado en Cincinnati (USA) del 21 al 24 de octubre de 2012.Profilin, one of the major allergen (Ole e 2) of olive (Olea europaea L.) pollen, are broadly distributed actin-monomer-binding proteins (ABP). They display a major regulatory role in actin cytoskeleton dynamics, driving cell morphogenesis, sexual reproduction, and translating signals into cellular responses to different environmental stresses. Plants exhibit multiple profilin isoforms w ith distinctive biochemical properties, and differentially regulated. How ever, it is still an open question w hether these profilin isoforms, generated by multiple gene sequence polymorphism, are functionally different, as well as the role of that polymorphism in pollen allergy. Particularly, in differential epitopes generation, profilin isoforms sensitization and cross-reactivity among cultivars, and even among species. In the present study, w e have used mature pollen from olive, birch, hazel, timothy-grass, and maize, in addition to olive germinating pollen and seeds, w ith the aim to analyze the immune-reactivity and subcellular localization of profilin by using polyclonal and specific isoforms antibodies against olive and maize profilins. The results show ed immune-reactivity differences betw een the five species analyzed, betw een olive cultivars, as w ell as between reproductive and vegetative profilins. Furthermore, the existence of different profilin isoforms w as revealed along pollen germination stages. A differential subcellular distribution of profilin isoforms w as found in olive pollen. They w ere localized in the nucleus, pollen aperture regions, pollen and tube w alls and pollen tip, in addition to a general cytoplasmic distribution, in comparison to controls. Data suggest that profilin family might contain numerous functionally distinctive isoforms, spatial-temporal differentially expressed and regulated during vegetative development, pollen maturation and pollen tube grow th. Furthermore, differential immune-reactivity revealed in the study might point out the involvement of common shared and specific epitopes, generated by sequence polymorphism, in differential olive pollen cultivar sensitization of allergenic patients, and cross-reaction to pollen from different species.This study was supported by the following European Regional Development Fund cofinanced grants: MCINN BFU 2004-00601/BFI, BFU 2008-00629, BFU2011-22779, CICE (Junta de Andalucía) P2010-CVI15767, P2010-AGR6274, P2011-CVI-7487, P2011-CVI-7487, and by the coordinated project Spain/Germany MEC HA2004-0094.Peer reviewe

Fazies und Geochemie im Tertiär südlich von Leipzig

Die Broschüre informiert über die Ergebnisse der Untersuchungen zu den geogenen Ursachen der Entstehung von Sauerwasser, einem der hauptsächlichen Wasserqualitätsprobleme in den Braunkohlenbergbaugebieten Nordsachsens. Das Vorhaben wurde vom LfULG gemeinsam mit Forschungspartnern von 2009 bis 2011 bearbeitet. Die angewendete Untersuchungsmethodik und die gewonnenen Erkenntnisse werden inzwischen schon in der mitteldeutschen Braunkohlenindustrie praktisch umgesetzt. Sie lassen sich auf andere in- und ausländische Kohlenreviere übertragen. Integrativer Ansatz des Vorhabens war die geochemische Charakteristik der tertiären Schichtenfolge durch die Analyse der Stoffeinträge in die Paläomoore (Braunkohlenflöze) und die geochemische Charakteristik der tertiären Zwischenmittelhorizonte und sonstiger Flözbegleitschichten. Das war die Basis für eine Paläo-Environment-Analyse. Aus der Analyse konnten die kausalen Ursachen der geochemischen Zusammensetzung der Braunkohlenbergbaukippen abgeleitet und hinsichtlich des Aciditätspotenzials aus der Pyritverwitterung für die Grundwasserversauerung (Acid Mine Drainage) quantifiziert werden