Stepwise transmission irregular graphs

Andrey A. Dobrynin; Reza Sharafdini

doi:10.1016/j.amc.2019.124949

Stepwise transmission irregular graphs

Andrey A. Dobrynin, Reza Sharafdini

Лаборатория топологии и динамики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

4 Цитирования (Scopus)

Аннотация

The distance d(u, v) between vertices u and v of a connected graph G is defined as the number of edges in a shortest path connecting them. The transmission of a vertex v of G is the sum of distances from v to all the other vertices of G. A graph is stepwise transmission irregular (STI) if the transmissions of any two of its adjacent vertices differ by exactly one. Some basic properties of STI graphs are established and infinite families are constructed.

Язык оригинала	английский
Номер статьи	124949
Число страниц	7
Журнал	Applied Mathematics and Computation
Том	371
DOI	https://doi.org/10.1016/j.amc.2019.124949
Состояние	Опубликовано - 15 апр 2020

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1.01 МАТЕМАТИКА

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10.1016/j.amc.2019.124949

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KW - TREES

KW - WIENER INDEX

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KW - INFINITE FAMILY

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Stepwise transmission irregular graphs

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