... We prove that a better approximation factor for the binary RTILE cannot be achieved using the same lower bound L, because there exist arrays, whose every ...

I. INTRODUCTION. Many problems arising in such areas of computer science as load balancing in parallel computing envi- ronments, data compression, and query ...

We give a 2 1 8 − approximation algorithm, which is tight with regard to the only known and used lower bound.

An approximation algorithm for dissecting a rectangle into rectangles with specified areas · Computer Science, Mathematics. Discret. Appl. Math. · 2007.

this technique one can obtain a polynomial-time 2-approximation algorithm. ... tiles by separately well 2-partitioning >-columns and forming l rectangles ... be (2 ...

Abstract. We study the following problem. Given ann×narrayAof nonnegative numbers and a natural number p, partition it into at most p rectangular tiles, so.

Jul 28, 2020 · A 2(1/8)-Approximation Algorithm for Rectangle Tiling · Katarzyna E. Paluch. Mathematics. ICALP. 2004. TLDR. A tight approximation algorithm is ...

Abstract. We provide improved approximation algorithms for several rectangle tiling and packing problems (RTILE, DRTILE and.

Jul 28, 2020 · imation algorithm for rectangle tiling binary arrays achieved the ratio of 2. ... A 2(1/8)-approximation algorithm for rectangle tiling. In.