• DocumentCode
    2476368
  • Title

    On Holant theorem and its proof

  • Author

    Al-Bashabsheh, Ali ; Mao, Yongyi ; Yongacoglu, Abbas

  • Author_Institution
    Sch. of Inf. Technol. & Eng., Univ. of Ottawa, Ottawa, ON, Canada
  • fYear
    2010
  • fDate
    12-14 May 2010
  • Firstpage
    40
  • Lastpage
    43
  • Abstract
    Holographic algorithms are a recent breakthrough in computer science and has found applications in information theory. This paper provides a proof to the central component of holographic algorithms, namely, the Holant theorem. The proof is simpler and more direct compared with previous works. Along the proof, we also develop a mathematical tool, which we call c-tensor. We expect the notion of c-tensor may be applicable over a wide range of analysis.
  • Keywords
    information theory; tensors; Holant theorem; c-tensor; computer science; holographic algorithm; information theory; mathematical tool; Application software; Computer science; Constraint theory; Decoding; Error correction codes; Holography; Information technology; Information theory; Polynomials; Tensile stress;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communications (QBSC), 2010 25th Biennial Symposium on
  • Conference_Location
    Kingston, ON
  • Print_ISBN
    978-1-4244-5709-0
  • Type

    conf

  • DOI
    10.1109/BSC.2010.5473006
  • Filename
    5473006