Characterizing Block Graphs in Terms of One-vertex Extensions
DOI:
https://doi.org/10.5540/tema.2019.020.02.323Keywords:
block graph, one-vertex-extensionAbstract
Block graphs has been extensively studied for many decades. In this paper we present a new characterization of the class in terms of one-vertex extensions. To this purpose, a specific representation based on the concept of boundary cliques is presented, bringing about some properties of the graph.
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