Stack sort – a new approach with sorting network and a buffer

Abstract

Knuth introduced the problem of stack sorting. Stack sorting was implemented by t stacks in series. In this paper, we propose a new dimension to stack sorting problem by introducing a stack with sorting network and a petty buffer. Instead of using t stacks in series, it helps to improve the performance by avoiding shuffles the stack. The basic idea behind in this paper is to perform a stack sorting with a single stack, and to achieve greater performance. In this novel approach, 2 bit buffer is compared to stack and insert the element into stack in order to avoid multiple stack. The result shows the time complexity of the proposed algorithm is O (n).