Cellular Algebras and Graph Invariants Based on Quantum Walks

Details Cellular Algebras and Graph Invariants Based on Quantum Walks Cellular Algebras and Graph Invariants Based on Quantum Walks

2011-03-01

arxiv.org/abs/1103.0262v1

Mathematics

Combinatorics

14 pages

Scientific paper

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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