Block Elimination Distance

@article{Diner2021BlockED,
  title={Block Elimination Distance},
  author={{\"O}znur Yaşar Diner and Archontia C. Giannopoulou and Giannos Stamoulis and Dimitrios M. Thilikos},
  journal={Graphs Comb.},
  year={2021},
  volume={38},
  pages={133}
}
We introduce the parameter of block elimination distance as a measure of how close a graph is to some particular graph class. Formally, given a graph class G, the class B(G) contains all graphs whose blocks belong to G and the class A(G) contains all graphs where the removal of a vertex creates a graph in G. Given a hereditary graph class G, we recursively define G(k) so that G(0) = B(G) and, if k ≥ 1, G(k) = B(A(G(k−1))). The block elimination distance of a graph G to a graph class G is the… 

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