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Full-Text Articles in Number Theory
Cyclic Critical Groups Of Graphs, Ryan P. Becker, Darren B. Glass
Cyclic Critical Groups Of Graphs, Ryan P. Becker, Darren B. Glass
Math Faculty Publications
In this note, we describe a construction that leads to families of graphs whose critical groups are cyclic. For some of these families we are able to give a formula for the number of spanning trees of the graph, which then determines the group exactly.