@article{The Block Topological Space and Block Topological Graph Induced by Undirected Graphs_2024, place={Maryland, USA}, volume={17}, url={https://ejpam.com/index.php/ejpam/article/view/5135}, DOI={10.29020/nybg.ejpam.v17i2.5135}, abstractNote={Let $G=(V(G),E(G))$ be a simple undirected graph. A \textit{block} of $G$ is a maximal connected subgraph of $G$ that contains no cut-vertices \cite{eric}. The family of vertex sets of blocks of $G$ generates a unique topology. In this paper, we formally define the topology generated by the family of blocks in a graph called the \textit{block topological space}. Moreover, we characterize and describe some special attributes of the block topological space. Finally, we associate a corresponding graph from a given block topological space by defining the \textit{block topological graph}. }, number={2}, journal={European Journal of Pure and Applied Mathematics}, year={2024}, month={Apr.}, pages={663–675} }