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[2020]Primary 05C25, 37B99; Secondary 05C12, 68R10
This paper introduces a hierarchy of contractive endomorphisms on graphs, providing a rigorous framework for quantitative structural compression. We first define a general class of (m,n)-contractive endomorphisms, which map paths of length m to walks of length at most n, and prove that they form a semigroup under composition. To analyze the dynamics ofzeinab Shahini, Madjid Eshaghi Gordji
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