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101.
Austin Buchanan Je Sang Sung Vladimir Boginski Sergiy Butenko 《European Journal of Operational Research》2014
A connected dominating set (CDS) is commonly used to model a virtual backbone of a wireless network. To bound the distance that information must travel through the network, we explicitly restrict the diameter of a CDS to be no more than s leading to the concept of a dominating s-club. We prove that for any fixed positive integer s it is NP-complete to determine if a graph has a dominating s -club, even when the graph has diameter s+1. As a special case it is NP-complete to determine if a graph of diameter two has a dominating clique. We then propose a compact integer programming formulation for the related minimization problem, enhance the approach with variable fixing rules and valid inequalities, and present computational results. 相似文献
102.
We show that the equality m1(f(x))=m2(g(x)) for x in a neighborhood of a point a remains valid for all x provided that f and g are open holomorphic maps, f(a)=g(a)=0 and m1,m2 are Minkowski functionals of bounded balanced domains. Moreover, a polynomial relation between f and g is obtained. 相似文献
103.
We show that the strong approximation property (strong AP) (respectively, strong CAP) and the weak bounded approximation property (respectively, weak BCAP) are equivalent for every Banach space. This gives a negative answer to Oja's conjecture. As a consequence, we show that each of the spaces c0 and ?1 has a subspace which has the AP but fails to have the strong AP. 相似文献
104.
Computation of the solutions to the gauge field equations is known of great importance for the simulation of various particle physics systems. In this work, we establish a globally convergent iterative method for computing the multiple vortex solutions arising in a self-dual system of non-Abelian gauge field equations derived in a supersymmetric theory model. Using this method, we present a few numerical examples which demonstrate the effectiveness of the method and, at the same time, provide a concrete realization of the soliton-like behavior of the vortexlines concentrated around centers of vortices, which is believed to be essential for linear confinement in QCD. 相似文献
105.
106.
107.
In [19], a geometric procedure for constructing a Nevanlinna–Pick problem on Dn with a specified set of uniqueness was established. In this sequel we conjecture a necessary and a sufficient condition for a Nevanlinna–Pick problem on D2 to have a unique solution. We use the results of [19] and Bezout?s theorem to establish three special cases of this conjecture. 相似文献
108.
Amphiphilic urethane acryale hydrogels containing ionic groups (dimethylolpropionic acid) were prepared by varying the molecular
weight of the soft segment (polyether type) and the type of diisocyanate, and their mechanical properties were examined. They
showed heterophasic gel structure composed of ionic hard domains induced by aggregation of the ionic groups and polyether
soft domains comprising the urethane acrylate network. This heterophasic structure could be confirmed by dynamic mechanical
analysis (DMA) and by wide-angle X-ray scattering analysis (WAXS); the crystallinity detected by WAXS and the transition peak
of the ionic hard domains detected by DMA strongly suggested that there were ionic aggregates. These ionic aggregates acted
as reinforcing fillers in the network, which eventually enhanced the tensile strength of the hydrogels. Above all, the tensile
properties of the hydrogels were of interest in that the trends of the stress-strain curves were consistent with the rubbery
ones. It is believed that the higher purity of the polyether soft domains resulted from the heterophasic gel structure imparting
further elastomeric properties on the network.
Received: 31 July 1998 Accepted in revised form: 15 October 1998 相似文献
109.
《复变函数与椭圆型方程》2012,57(9):753-766
In this article some problems related to the Krzy? conjecture are discussed. In particular, we prove the Krzy? conjecture for the fifth coefficient. 相似文献
110.
We present a refinement ofthe bounded modified realizability which provides both upper and lower bounds for witnesses. Our interpretation is based on a generalisation of Howard/Bezem's notion of strong majorizability. We show how the bounded modified realizability coincides with (a weak version of) our interpretation in the case when least elements exist (e.g. natural numbers). The new interpretation, however, permits the extraction of more accurate bounds, and provides an ideal setting for dealing directly with data types whose natural ordering is not well‐founded (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献