| viXra.org > Condensed Matter > viXra:2205.0068 |
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| viXra.org > Condensed Matter > viXra:2205.0068 |
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Condensed Matter |
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Authors: Elmar Guseinov
В данной статье приводится решение 83 проблем, формулировка которых близка к формулировке гипотезы грациозности деревьев. В частности, было найдено дерево T=(E,V) с инъективной разметкой рёбер h числами {1,...,|E|}, для которой нельзя указать инъективной разметки вершин f, так чтобы для каждого ребра ab∈E выполнялось условие |f(a)-f(b)|=h(ab). Для оптимизации процесса решения была написана соответствующая рекомендательная программа.
In this article, we solve 83 problems related to the graceful tree conjecture. In particular, we have found a tree T=(E,V) and injective edge labeling h:E→{1,...,|E|} such that there is no injective vertex labeling f with the property that |f(a)-f(b)|=h(ab) for all ab∈E. To optimize the solution process, a recommendation computer program was written.
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[v1] 2022-05-12 23:47:03
[v2] 2022-05-17 05:30:15
[v3] 2022-09-07 23:43:10
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