Abstract
We follow up on previous work which found that commonly used graph evolution moves lead to conserved quantities that can be expressed in terms of the braiding of the graph in its embedding space. We study non-embedded graphs under three distinct sets of dynamical rules and find non-trivial conserved quantities that can be expressed in terms of topological defects in the dual geometry. For graphs dual to two-dimensional simplicial complexes we identify all the conserved quantities of the evolution. We also indicate expected results for graphs dual to three-dimensional simplicial complexes.
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