The forcing total monophonic number of a graph

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چکیده

For a connected graph G = (V, E) of order at least two, subset T minimum total monophonic set S is forcing for if the unique containing . A cardinality S. The number ftm(S) in ftm(G) min{ftm(S)}, where taken over all sets G. We determine bounds it and find certain classes graphs. It shown that every pair a, b positive integers with 0 ≤ < ≥ a+4, there exists such mt(G) b.

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ژورنال

عنوان ژورنال: Proyecciones

سال: 2021

ISSN: ['0716-0917', '0717-6279']

DOI: https://doi.org/10.22199/issn.0717-6279-2021-02-0031