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arXiv · 1103.0262

Cellular Algebras and Graph Invariants Based on Quantum Walks

Jamie Smith
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Abstract

We consider two graph invariants inspired by quantum walks- one in continuous time and one in discrete time. We will associate a matrix algebra called a cellular algebra with every graph. We show that, if the cellular algebras of two graphs have a similar structure, then they are not distinguished by either of the proposed invariants.

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Jamie Smith. 2011-03-01. Cellular Algebras and Graph Invariants Based on Quantum Walks. https://arxiv.org/abs/1103.0262

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