Geodesic
A Characterization of Block-Graphs
Canadian mathematical bulletin, Tome 6 (1963) no. 1, pp. 1-6

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The purpose of this note is to characterize "block-graphs", a collection of graphs defined by a construction involving certain subgraphs called "blocks". A related operation on a graph leads to the study of "cut-point-graphs". The precise relationship between these two operations is made explicit. In order that this characterization be self-contained, we include the necessary definitions. 
A Characterization of Block-Graphs. Canadian mathematical bulletin, Tome 6 (1963) no. 1, pp. 1-6. doi: 10.4153/CMB-1963-001-x
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