In the second step the microgels, themselves acting as crosslinkers, were crosslinked to form a bulk network by inter-connecting the microgels with linear PNIPAAm chains.
It is shown that this leads to microdroplets exhibiting a higher Young's modulus and a lower yield point than the bulk network.
The finite element method is used to solve the resulting system of equations in (4), (7), and (16), with the displacement field u, the plastic distortion F P, and the bulk network dislocation density ρ n as unknowns.
The enhanced adsorption could be attributed to the generated hydrogen bonding between amino groups and H2O molecules and the improved diffusion of moisture into the bulk networks of PEI polymers due to its better spatial dispersion imposed by the long alkyl chains of template agents, which was confirmed by thermogravimetry results and hydrogen efficiency analysis.
Quick summary: We give dirt-simple and easy-to-analyze randomized algorithms that improve the best-known approximation ratios for connected facility location, virtual private network design, and single-sink buy-at-bulk network design.
This problem lies at the heart of numerous approximation and online algorithms including ones for group Steiner tree, metric labeling, buy-at-bulk network design and metrical task system.
For a leasing variant of the buy-at-bulk network design problem, these results imply: (i) an algorithm which improves the best previous approximation, and (ii) the first competitive online algorithm.
Quick summary: Presents the first constant-factor approximation algorithm for network design with multiple commodities and economies of scale (all recent breakthroughs for buy-at-bulk network design have studied only the special case where all commodities share a common sink vertex).
C. Chekuri; M.T. Hajiaghayi; G. Kortsarz; M. R. Salavatipour: Approximation algorithms for non-uniform buy-at-bulk network design problems In Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science (FOCS), Berkeley, PA, October 22-24, 2006, pp. 677 686.
C. Chekuri; M.T. Hajiaghayi; G. Kortsarz; M. R. Salavatipour: Approximation algorithms for node weighted buy-at-bulk networks, In Proceedings of the 18th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), New Orleans, LA, January 7-9 , 2007 pp. 1265--1274.
Using analysis, we evaluate PBProbe with various bulk lengths, network configurations, and traffic models.
