Infinite family of 2-connected transmission irregular graphs

Andrey A. Dobrynin

doi:10.1016/j.amc.2018.08.042

Infinite family of 2-connected transmission irregular graphs

Andrey A. Dobrynin

Лаборатория топологии и динамики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья

4 Цитирования (Scopus)

Аннотация

Distance between two vertices is the number of edges in the shortest path connecting them in a connected graph G. The transmission of a vertex v is the sum of distances from v to all the other vertices of G. If transmissions of all vertices are mutually distinct, then G is a transmission irregular graph. It is known that almost no graphs are transmission irregular. Infinite families of transmission irregular trees were presented in [4]. The following problem was posed in [4]: do there exist infinite families of 2-connected transmission irregular graphs? In this paper, an infinite family of such graphs is constructed.

Язык оригинала	английский
Страницы (с-по)	1-4
Число страниц	4
Журнал	Applied Mathematics and Computation
Том	340
DOI	https://doi.org/10.1016/j.amc.2018.08.042
Состояние	Опубликовано - 1 янв 2019

Доступ к документу

10.1016/j.amc.2018.08.042

Link to publication in Scopus

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Цитировать

Dobrynin, A. A. (2019). Infinite family of 2-connected transmission irregular graphs. Applied Mathematics and Computation, 340, 1-4. https://doi.org/10.1016/j.amc.2018.08.042

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