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Procedia Computer Science
Article . 2025 . Peer-reviewed
License: CC BY NC ND
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arXiv.org e-Print Archive
Preprint . 2025
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2025
License: CC BY
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Separating edges by linearly many subdivisions

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Conference object 01 Jan 2025Embargo end date: 01 Jun 2025 English Publisher:Elsevier BVJournal:Procedia Computer Science, volume 273, pages 453-457 (issn: 1877-0509, Copyright policy )
Authors: George Kontogeorgiou; Matías Pavez-Signé; Maya Stein; S. Taruni; Ana Trujillo-Negrete;

doi: 10.1016/j.procs.2025.10.331 , 10.48550/arxiv.2506.14011

arXiv: 2506.14011

Separating edges by linearly many subdivisions

Abstract

We prove that for any two graphs $G$ and $H$, the edges of $G$ can be strongly separated by a collection of linearly many subdivisions of $H$ and single edges. This confirms a conjecture of Botler and Naia.

12 pages, 5 figures

Related Organizations
Keywords

Combinatorics, FOS: Mathematics, Combinatorics (math.CO), 05C38, 05C83

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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
Green
gold