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Transversal factors and spanning trees

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Montgomery, Richard, Müyesser, Alp and Pehova, Yanitsa (2022) Transversal factors and spanning trees. Advances in Combinatorics . doi:10.19086/aic.2022.3

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Official URL: http://dx.doi.org/10.19086/aic.2022.3

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Abstract

Given a collection of graphs G = (G1,...,Gm) with the same vertex set, an m-edge graph H ⊂ ∪i∈[m]Gi is a transversal if there is a bijection φ : E(H) → [m] such that e ∈ E(Gφ(e)) for each e ∈ E(H). We give asymptotically-tight minimum degree conditions for a graph collection on an n-vertex set to have a transversal which is a copy of a graph H, when H is an n-vertex graph which is an F-factor or a tree with maximum degree o(n/logn).

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Spanning trees (Graph theory), Graph theory, Extremal problems (Mathematics)
Journal or Publication Title: Advances in Combinatorics
Publisher: Alliance of Diamond Open Access
ISSN: 2517-5599
Official Date: 16 May 2022
Dates:
DateEvent
16 May 2022Published
28 March 2022Accepted
24 September 2021Submitted
Number of Pages: 25
DOI: 10.19086/aic.2022.3
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
947978[ERC] Horizon 2020 Framework Programmehttp://dx.doi.org/10.13039/100010661
648509[ERC] Horizon 2020 Framework Programmehttp://dx.doi.org/10.13039/100010661
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