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1
Content available remote Distance-Locally Disconnected Graphs
100%
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nr 1
203-215
EN
For an integer k ≥ 1, we say that a (finite simple undirected) graph G is k-distance-locally disconnected, or simply k-locally disconnected if, for any x ∈ V (G), the set of vertices at distance at least 1 and at most k from x induces in G a disconnected graph. In this paper we study the asymptotic behavior of the number of edges of a k-locally disconnected graph on n vertices. For general graphs, we show that this number is Θ(n2) for any fixed value of k and, in the special case of regular graphs, we show that this asymptotic rate of growth cannot be achieved. For regular graphs, we give a general upper bound and we show its asymptotic sharpness for some values of k. We also discuss some connections with cages.
EN
This article is dedicated to the study of numerical simulation of temperature field distribution in rolling mill with many cages for continuous casting and rolling stripe of metal wire. In work the simplest is used in use, certainly a steady, economic difference method, a method of division of variables of a multidimensional task into a chain of one-dimensional tasks, a method of total approximation, the locally one-dimensional scheme. The algorithm of numerical modeling of distribution of a temperature field on cages of the rolling mill is constructed. Solutions of the three dimensional temperature field distribution tasks based on experimental data allows finding the temperature across the strip of metal rod in a rolling mill stands. Calculation of the distribution of temperature field in hearth of deformation of a metal rod was realized on implicit scheme. The calculations are shown in the graphs. It provides an analysis of the error of errors.
EN
Within 17 September – 31 October 1997, fry of the Russian × Siberian sturgeon hybrid of 31.1 g mean individual weight and sterlet fry of 25.4 g mean individual weight were fed two trout feeds: the Dana–ex 4.85 and the Safir differing, i.a., in their gross energy content (5470 and 5173 Kcalˇg–1, respectively), each feed being offered in triplicate. The fish were kept in cages, stocked at 80 ind./cage, placed in power station cooling water of temperature changing within 12.2–23°C. Water temperature–dependent differences in fish growth were revealed: the hybrid grew better at 19–23°C, while the sterlet growth was better at 12–18°C. In both fish groups, the Dana–ex 4.85 produced better food conversion rate (FCR) and apparent net protein utilisation (aNPU).
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