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Enumerating Arithmetical Structures on Type E_n Graphs
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We explore the enumeration results of arithmetical structures on graphs. We present the known results of the enumeration of arithmetical structures on path graphs, cycle graphs, bidents, complete graphs, and star graphs. We then provide a new enumeration result of the number of arithmetical structures on Dynkin graphs of type E.
Title: Enumerating Arithmetical Structures on Type E_n Graphs
Description:
We explore the enumeration results of arithmetical structures on graphs.
We present the known results of the enumeration of arithmetical structures on path graphs, cycle graphs, bidents, complete graphs, and star graphs.
We then provide a new enumeration result of the number of arithmetical structures on Dynkin graphs of type E.
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