The barycenter of a graph is the subgraph induced by all the vertices with eccentricity equal to the graph's radius, in other words, it is the subgraph induced by the center of a graph.
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The object barycenter is a method function.
The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/Graphs.m2:2263:0.