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arXiv.org e-Print Archive
Preprint . 2024
Data sources: arXiv.org e-Print Archive
https://doi.org/10.2139/ssrn.4...
Article . 2024 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2024
License: arXiv Non-Exclusive Distribution
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On Independent Domination and Packing Numbers of Subcubic Graphs

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2024Embargo end date: 01 Jan 2024Publisher:Elsevier BV
Authors: Bai, Xuqing; Gao, Zhipeng; Xi, Changqing; Yue, Jun;

doi: 10.2139/ssrn.4970563 , 10.48550/arxiv.2401.04617

arXiv: 2401.04617

On Independent Domination and Packing Numbers of Subcubic Graphs

Abstract

In a recent paper, Cho and Kim proved that in subcubic graphs, the independent domination number is at most three times the packing number. They subsequently posed the question of characterizing subcubic graphs that achieve this bound. In this paper, we completely solve the question by proving that exactly four graphs meet this bound.

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Keywords

FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)

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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
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