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<p>In this article, we define a new operation on a graph, namely the <i>u</i>-graph and find a necessary and sufficient condition for the folded map to be a homomorphism. Also, we introduce the limit folded map on the <i>u</i>-graph. We deduce the relation between a special family of graphs and their folded maps. We construct a finite sequence of folded maps on a finite number of connected <i>u</i>-graphs. Under certain conditions, we derive the relationship between a <i>u</i>-graph and its subgraphs. Furthermore, we present some applications for new graph operations.</p>

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The folded map on an identification graph and its application

  • 期刊论文

  • 发表日期：

    2025年1月18日

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  • Mohammed Abu-Saleem

摘要

In this article, we define a new operation on a graph, namely the u-graph and find a necessary and sufficient condition for the folded map to be a homomorphism. Also, we introduce the limit folded map on the u-graph. We deduce the relation between a special family of graphs and their folded maps. We construct a finite sequence of folded maps on a finite number of connected u-graphs. Under certain conditions, we derive the relationship between a u-graph and its subgraphs. Furthermore, we present some applications for new graph operations.