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A width-bounded separator is a simple structured hyperplane which divides the given set into two balanced subsets, while at the same time maintaining a low density of the set within a given distance to the hyperplane. For a given set Q of n grid points in a d-dimensional Euclidean space, we develop an improved (Monte carlo) algorithm to find a w-wide separator L in $\tilde{O}(n^{1\over d})$ sublinear...
Given a set S = {b1, ⋯ , bn} of integers and an integer s, the subset sum problem is to decide if there is a subset S′ of S such that the sum of elements in S′ is exactly equal to s. We present an online approximation scheme for this problem. It updates in O(logn) time and gives a (1 + ε)-approximation solution in $O((\log n+{1\over \epsilon^2}{(\log{1\over\epsilon})^{O(1)}})\log...
The cable industry has recently released the DOCSIS® 3.1 specifications which are the fifth generation of the DOCSIS family of specifications. In this article, we introduce the building blocks of DOCSIS 3.1 and highlight the specific capabilities that will help broadband cable systems scale to support gigabit-per- second network speeds. While this article is a tutorial on DOCSIS 3.1, an important...
The widespread deployment and adoption of the Dynamic Adaptive Streaming over HTTP (DASH) standard is making Internet video-on-demand a ‘standard’ Internet application similar in impact as email and web browsing. While video streaming has been widely deployed and studied for decades, DASH-based streaming is very different as it involves adaptation both by the application and by TCP. The dynamics and...
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