English

On Holant Theorem and Its Proof

Information Theory 2010-05-11 v1 math.IT

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. Compared with previous works, the proof appears simpler and more direct. 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

Cite

@article{arxiv.1005.1349,
  title  = {On Holant Theorem and Its Proof},
  author = {Ali Al-Bashabsheh and Yongyi Mao and Abbas Yongacoglu},
  journal= {arXiv preprint arXiv:1005.1349},
  year   = {2010}
}

Comments

25th Queen's Biennial Symposium on Communications.

R2 v1 2026-06-21T15:20:10.821Z