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Wyniki wyszukiwania dla: CUBIC%20GRAPH
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A Family of Pb-based Superconductors with Variable Cubic to Hexagonal Packing
PublikacjaWe describe three previously unreported superconductors, BaPb3, Ba0.89Sr0.11Pb3, and Ba0.5Sr0.5Pb3. These three materials, together with SrPb3, form a distinctive isoelectronic family of intermetallic superconductors based on the stacking of Pb planes, with crystal structures that display a hexagonal to cubic perovskite-like progression, as rarely seen in metals. The superconducting transition temperatures (Tc) are similar for...
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Composite Bioelectrodes Based on Lipidic Cubic Phase with Carbon Nanotube Network
PublikacjaElektrody z węgla szklistego modyfikowane fazą kubiczną z siecią nanorurek zastosowano do enzymatycznej redukcji tlenu katalizowanej przez lakazę. Zastosowanie nanorurek obniżyło nadpotencjał redukcji tlenu o 0,5 V. W celu zwiększenia gęstości prądu redukcji tlenu zastosowano znany mediator przeniesienia elektronów - ABTS. Mediator adsorbowano na nanorurkach lub wiązano kowalencyjnie z końcami nanorurek. Kowalencyjne związanie...
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Tight bounds on the complexity of semi-equitable coloring of cubic and subcubic graphs
PublikacjaWe consider the complexity of semi-equitable k-coloring, k>3, of the vertices of a cubic or subcubic graph G. In particular, we show that, given a n-vertex subcubic graph G, it is NP-complete to obtain a semi-equitable k-coloring of G whose non-equitable color class is of size s if s>n/3, and it is polynomially solvable if s, n/3.
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Sharp bounds for the complexity of semi-equitable coloring of cubic and subcubic graphs
PublikacjaIn this paper we consider the complexity of semi-equitable k-coloring of the vertices of a cubic or subcubic graph. We show that, given n-vertex subcubic graph G, a semi-equitable k-coloring of G is NP-hard if s >= 7n/20 and polynomially solvable if s <= 7n/21, where s is the size of maximum color class of the coloring.
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Equitable and semi-equitable coloring of cubic graphs and its application in batch scheduling
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Eqiuitable coloring of corona products of cubic graphs is harder than ordinary coloring
PublikacjaA graph is equitably k-colorable if its vertices can be partitioned into k independent sets in such a way that the number of vertices in any two sets differ by at most one. The smallest k for which such a coloring exists is known as the equitable chromatic number of G. In this paper the problem of determinig the equitable coloring number for coronas of cubic graphs is studied. Although the problem of ordinary coloring of coronas...
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Equitable and semi-equitable coloring of cubic graphs and its application in batch scheduling
PublikacjaIn the paper we consider the problems of equitable and semi-equitable coloring of vertices of cubic graphs. We show that in contrast to the equitable coloring, which is easy, the problem of semi-equitable coloring is NP- complete within a broad spectrum of graph parameters. This affects the complexity of batch scheduling of unit-length jobs with cubic incompatibility graph on three uniform processors to minimize...
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Scheduling of unit-length jobs with cubic incompatibility graphs on three uniform machines
PublikacjaWe consider the problem of scheduling n identical jobs on 3 uniform machines with speeds s1, s2, and s3 to minimize the schedule length. We assume that jobs are subject to some kind of mutual exclusion constraints, modeled by a cubic incompatibility graph. We how that if the graph is 2-chromatic then the problem can be solved in O(n^2) time. If the graph is 3-chromatic, the problem becomes NP-hard even if s1>s2=s3.
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Luminescence enhancement in nanocrystalline Eu2O3 nanorods – Microwave hydrothermal crystallization and thermal degradation of cubic phase
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MEMORY EFFECT ANALYSIS USING PIECEWISE CUBIC B-SPLINE OF TIME FRACTIONAL DIFFUSION EQUATION
PublikacjaThe purpose of this work is to study the memory effect analysis of Caputo–Fabrizio time fractional diffusion equation by means of cubic B-spline functions. The Caputo–Fabrizio interpretation of fractional derivative involves a non-singular kernel that permits to describe some class of material heterogeneities and the effect of memory more effectively. The proposed numerical technique relies on finite difference approach and cubic...