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On Leaf Node Edge Switchings in Spanning Trees of De Bruijn Graphs

  • Suman Roy
  • Srinivasan Krishnaswamy
  • P. Vinod Kumar
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 834)

Abstract

An n-th order k-ary de Bruijn sequence is a cyclic sequence of length \(k^{n}\) which contains every possible k-ary subsequence of length n exactly once during each period. In this paper, we show that, if we fix the initial n bits, any n-th order de Bruijn sequence can be transformed to another using a sequence of transformations.

Keywords

De Bruijn sequences De Bruijn graph Pseudorandom sequence generator Shift register 

Notes

Acknowledgment

The authors are grateful to Prof. Harish K. Pillai, Department of Electrical Engineering, Indian Institute of Technology Bombay, without whom this work would never have been possible.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of Electronics and Electrical EngineeringIndian Institute of Technology GuwahatiGuwahatiIndia
  2. 2.Bharat Broadband Network LimitedTrivandrumIndia

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