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Prikladnaya diskretnaya matematika Prilozhenie
Article . 2014
Data sources: CyberLeninka - Russian open access scientific library
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Об оценках экспонентов орграфов с использованием чисел Фробениуса

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 Russian Publisher:Федеральное государственное бюджетное образовательное учреждение высшего профессионального образования «Национальный исследовательский Томский государственный университет»Journal:Прикладная дискретная математика. Приложение (issn: 2226-308X, eissn: 2411-2313, Copyright policy )

Об оценках экспонентов орграфов с использованием чисел Фробениуса

Abstract

Для частных классов сильносвязных орграфов получены достаточные условия примитивности и оценки экспонентов, которые выражены через числа Фробени-уса. Показано, что во многих случаях полученные оценки экспонента орграфа существенно лучше известных оценок.

Sufficient conditions for primitiveness of some su-perconnected digraphs and estimations for exponents of these digraphs are obtained using Frobenius's numbers. It is shown that these estimations are the best in many cases.

Keywords

ЧИСЛО ФРОБЕНИУСА, ПРИМИТИВНЫЙ ГРАФ, ЭКСПОНЕНТ ГРАФА, FROBENIUS''S NUMBER

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold