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On level energy and level characteristic polynomial of rooted trees Научная публикация

Журнал

Electronic Journal of Mathematics
ISSN: 2789-5734

Вых. Данные

Год: 2024, Том: 7, Страницы: 45-57 Страниц : 13 DOI: 10.47443/ejm.2024.020

Ключевые слова

level index; level characteristic polynomial; level energy; distance energy; distance matrix; rooted trees.

Авторы

Dossou-Olory A.V. ^1,2 , Killik Muhammed F. ³ , Konstantinova Elena V. ^4,5 , Şahin Bünyamin ³

Организации

1	UAC - Université d’Abomey-Calavi = University of Abomey Calavi (Campus - BP 526 - Cotonou - Benin)
2	Institute of Mathematics and Physical Sciences, University of Abomey-Calavi, Dangbo, Benin
3	Selçuk University = Selçuk Üniversitesi (Konya - Turkey)
4	NSU - Novosibirsk State University (Pirogova str. 2, 630090 Novosibirsk - Russia)
5	Sobolev Institute of Mathematics

Информация о финансировании (1)

Министерство науки и высшего образования РФ
Математический центр в Академгородке

075-15-2019-1613, 075-15-2022-281

Based on the level index, a Wiener-like topological index proposed by Balaji and Mahmoud [J. Appl. Probab. 54 (2017), 701–709], we define the level matrix and study the level energy and the level characteristic polynomial of rooted trees. We establish relations between the level matrix and the usual distance matrix. We also determine various bounds on the level energy and calculate the level energy for specific tree families. Moreover, we provide an explicit expression of the level characteristic polynomial of the so-called rooted double stars and rooted binary caterpillars. Finally, we propose (and provide evidence to support) a conjecture that the rooted path maximises the level energy among all trees with a given number of vertices.

Dossou-Olory A.V. , Killik M.F. , Konstantinova E.V. , Şahin B.
On level energy and level characteristic polynomial of rooted trees
Electronic Journal of Mathematics. 2024. V.7. P.45-57. DOI: 10.47443/ejm.2024.020 РИНЦ OpenAlex

Поступила в редакцию:	21 мар. 2024 г.
Принята к публикации:	24 апр. 2024 г.
Опубликована в печати:	1 мая 2024 г.
Опубликована online:	1 мая 2024 г.

РИНЦ:	67368159
OpenAlex:	W4390854673

БД	Цитирований
OpenAlex	1