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arXiv · 1005.1349

On Holant Theorem and Its Proof

Ali Al-Bashabsheh·Yongyi Mao·Abbas Yongacoglu
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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.

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Ali Al-Bashabsheh, Yongyi Mao, Abbas Yongacoglu. 2010-05-08. On Holant Theorem and Its Proof. https://arxiv.org/abs/1005.1349

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