---
_id: '10045'
abstract:
- lang: eng
text: "Given a fixed finite metric space (V,μ), the {\\em minimum 0-extension problem},
denoted as 0-Ext[μ], is equivalent to the following optimization problem: minimize
function of the form minx∈Vn∑ifi(xi)+∑ijcijμ(xi,xj) where cij,cvi are given nonnegative
costs and fi:V→R are functions given by fi(xi)=∑v∈Vcviμ(xi,v). The computational
complexity of 0-Ext[μ] has been recently established by Karzanov and by Hirai:
if metric μ is {\\em orientable modular} then 0-Ext[μ] can be solved in polynomial
time, otherwise 0-Ext[μ] is NP-hard. To prove the tractability part, Hirai developed
a theory of discrete convex functions on orientable modular graphs generalizing
several known classes of functions in discrete convex analysis, such as L♮-convex
functions. We consider a more general version of the problem in which unary functions
fi(xi) can additionally have terms of the form cuv;iμ(xi,{u,v}) for {u,v}∈F, where
set F⊆(V2) is fixed. We extend the complexity classification above by providing
an explicit condition on (μ,F) for the problem to be tractable. In order to prove
the tractability part, we generalize Hirai's theory and define a larger class
of discrete convex functions. It covers, in particular, another well-known class
of functions, namely submodular functions on an integer lattice. Finally, we improve
the complexity of Hirai's algorithm for solving 0-Ext on orientable modular graphs.\r\n"
acknowledgement: We thank the anonymous reviewers for their careful reading of our
manuscript and their many insightful comments and suggestions. Open access funding
provided by Institute of Science and Technology (IST Austria).
article_number: '2109.10203'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Martin
full_name: Dvorak, Martin
id: 40ED02A8-C8B4-11E9-A9C0-453BE6697425
last_name: Dvorak
orcid: 0000-0001-5293-214X
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
citation:
ama: Dvorak M, Kolmogorov V. Generalized minimum 0-extension problem and discrete
convexity. Mathematical Programming. 2024. doi:10.1007/s10107-024-02064-5
apa: Dvorak, M., & Kolmogorov, V. (2024). Generalized minimum 0-extension problem
and discrete convexity. Mathematical Programming. Springer Nature. https://doi.org/10.1007/s10107-024-02064-5
chicago: Dvorak, Martin, and Vladimir Kolmogorov. “Generalized Minimum 0-Extension
Problem and Discrete Convexity.” Mathematical Programming. Springer Nature,
2024. https://doi.org/10.1007/s10107-024-02064-5.
ieee: M. Dvorak and V. Kolmogorov, “Generalized minimum 0-extension problem and
discrete convexity,” Mathematical Programming. Springer Nature, 2024.
ista: Dvorak M, Kolmogorov V. 2024. Generalized minimum 0-extension problem and
discrete convexity. Mathematical Programming., 2109.10203.
mla: Dvorak, Martin, and Vladimir Kolmogorov. “Generalized Minimum 0-Extension Problem
and Discrete Convexity.” Mathematical Programming, 2109.10203, Springer
Nature, 2024, doi:10.1007/s10107-024-02064-5.
short: M. Dvorak, V. Kolmogorov, Mathematical Programming (2024).
date_created: 2021-09-27T10:48:23Z
date_published: 2024-03-07T00:00:00Z
date_updated: 2024-03-19T08:20:31Z
day: '07'
ddc:
- '004'
department:
- _id: GradSch
- _id: VlKo
doi: 10.1007/s10107-024-02064-5
external_id:
arxiv:
- '2109.10203'
file:
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checksum: e7e83065f7bc18b9c188bf93b5ca5db6
content_type: application/pdf
creator: mdvorak
date_created: 2021-09-27T10:54:51Z
date_updated: 2021-09-27T10:54:51Z
file_id: '10046'
file_name: Generalized-0-Ext.pdf
file_size: 603672
relation: main_file
success: 1
file_date_updated: 2021-09-27T10:54:51Z
has_accepted_license: '1'
keyword:
- minimum 0-extension problem
- metric labeling problem
- discrete metric spaces
- metric extensions
- computational complexity
- valued constraint satisfaction problems
- discrete convex analysis
- L-convex functions
language:
- iso: eng
month: '03'
oa: 1
oa_version: Preprint
publication: Mathematical Programming
publication_identifier:
eissn:
- 1436-4646
issn:
- 0025-5610
publication_status: epub_ahead
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Generalized minimum 0-extension problem and discrete convexity
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...
---
_id: '15121'
abstract:
- lang: eng
text: We present an auction algorithm using multiplicative instead of constant weight
updates to compute a (1-E)-approximate maximum weight matching (MWM) in a bipartite
graph with n vertices and m edges in time 0(mE-1), beating the running time of
the fastest known approximation algorithm of Duan and Pettie [JACM ’14] that runs
in 0(mE-1 log E-1). Our algorithm is very simple and it can be extended to give
a dynamic data structure that maintains a (1-E)-approximate maximum weight matching
under (1) one-sided vertex deletions (with incident edges) and (2) one-sided vertex
insertions (with incident edges sorted by weight) to the other side. The total
time time used is 0(mE-1), where m is the sum of the number of initially existing
and inserted edges.
acknowledgement: The first author thanks Chandra Chekuri for useful discussions about
this paper. This work was done in part at the University of Vienna. This project
has received funding from the European Research Council (ERC) under the European
Union’s Horizon 2020 research and innovation programme (Grant agreement No. 101019564
“The Design of Modern Fully Dynamic Data Structures (MoDynStruct)” and from the
Austrian Science Fund (FWF) project “Fast Algorithms for a Reactive Network Layer
(ReactNet)”, P 33775-N, with additional funding from the netidee SCIENCE Stiftung,
2020–2024.
article_processing_charge: No
article_type: original
author:
- first_name: Da Wei
full_name: Zheng, Da Wei
last_name: Zheng
- first_name: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
citation:
ama: Zheng DW, Henzinger MH. Multiplicative auction algorithm for approximate maximum
weight bipartite matching. Mathematical Programming. 2024. doi:10.1007/s10107-024-02066-3
apa: Zheng, D. W., & Henzinger, M. H. (2024). Multiplicative auction algorithm
for approximate maximum weight bipartite matching. Mathematical Programming.
Springer Nature. https://doi.org/10.1007/s10107-024-02066-3
chicago: Zheng, Da Wei, and Monika H Henzinger. “Multiplicative Auction Algorithm
for Approximate Maximum Weight Bipartite Matching.” Mathematical Programming.
Springer Nature, 2024. https://doi.org/10.1007/s10107-024-02066-3.
ieee: D. W. Zheng and M. H. Henzinger, “Multiplicative auction algorithm for approximate
maximum weight bipartite matching,” Mathematical Programming. Springer
Nature, 2024.
ista: Zheng DW, Henzinger MH. 2024. Multiplicative auction algorithm for approximate
maximum weight bipartite matching. Mathematical Programming.
mla: Zheng, Da Wei, and Monika H. Henzinger. “Multiplicative Auction Algorithm for
Approximate Maximum Weight Bipartite Matching.” Mathematical Programming,
Springer Nature, 2024, doi:10.1007/s10107-024-02066-3.
short: D.W. Zheng, M.H. Henzinger, Mathematical Programming (2024).
date_created: 2024-03-17T23:00:58Z
date_published: 2024-03-06T00:00:00Z
date_updated: 2024-03-19T08:32:32Z
day: '06'
department:
- _id: MoHe
doi: 10.1007/s10107-024-02066-3
ec_funded: 1
external_id:
arxiv:
- '2301.09217'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2301.09217
month: '03'
oa: 1
oa_version: Preprint
project:
- _id: bd9ca328-d553-11ed-ba76-dc4f890cfe62
call_identifier: H2020
grant_number: '101019564'
name: The design and evaluation of modern fully dynamic data structures
- _id: bd9e3a2e-d553-11ed-ba76-8aa684ce17fe
grant_number: 'P33775 '
name: Fast Algorithms for a Reactive Network Layer
publication: Mathematical Programming
publication_identifier:
eissn:
- 1436-4646
issn:
- 0025-5610
publication_status: epub_ahead
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '13236'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Multiplicative auction algorithm for approximate maximum weight bipartite matching
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...
---
_id: '15116'
abstract:
- lang: eng
text: Water is known to play an important role in collagen self-assembly, but it
is still largely unclear how water–collagen interactions influence the assembly
process and determine the fibril network properties. Here, we use the H2O/D2O
isotope effect on the hydrogen-bond strength in water to investigate the role
of hydration in collagen self-assembly. We dissolve collagen in H2O and D2O and
compare the growth kinetics and the structure of the collagen assemblies formed
in these water isotopomers. Surprisingly, collagen assembly occurs ten times faster
in D2O than in H2O, and collagen in D2O self-assembles into much thinner fibrils,
that form a more inhomogeneous and softer network, with a fourfold reduction in
elastic modulus when compared to H2O. Combining spectroscopic measurements with
atomistic simulations, we show that collagen in D2O is less hydrated than in H2O.
This partial dehydration lowers the enthalpic penalty for water removal and reorganization
at the collagen–water interface, increasing the self-assembly rate and the number
of nucleation centers, leading to thinner fibrils and a softer network. Coarse-grained
simulations show that the acceleration in the initial nucleation rate can be reproduced
by the enhancement of electrostatic interactions. These results show that water
acts as a mediator between collagen monomers, by modulating their interactions
so as to optimize the assembly process and, thus, the final network properties.
We believe that isotopically modulating the hydration of proteins can be a valuable
method to investigate the role of water in protein structural dynamics and protein
self-assembly.
acknowledgement: We thank Dr. Steven Roeters (Aarhus University), Dr. Federica Burla,
and Prof. Dr. Mischa Bonn (Institute for Polymer Research, Mainz, Germany) for the
useful discussions. We thank Dr. Wim Roeterdink and Michiel Hilberts for technical
support. G.H.K. acknowledges financial support by the “BaSyC Building a Synthetic
Cell” Gravitation grant (024.003.019) of The Netherlands Ministry of Education,
Culture and Science (OCW) and The Netherlands Organization for Scientific Research
and from NWO grant OCENW.GROOT.2019.022. This work has received support from the
National Research Foundation of Korea (NRF), funded by the Ministry of Science and
ICT, under Grant No. 2022K1A3A1A04062969. This publication is part of the project
(with Project Number VI.Veni.212.240) of the research programme NWO Talent Programme
Veni 2021, which is financed by the Dutch Research Council (NWO). I.M.I. acknowledges
support from the Sectorplan Bèta & Techniek of the Dutch Government and the Dementia
Research - Synapsis Foundation Switzerland. A.Š. and K.K. acknowledge support from
Royal Society and European Research Council Starting Grant. G. Giubertoni kindly
thanks to the Care4Bones community and the Collagen Café community for reminding
that we do not own the knowledge we create, but it is, rather, a collective resource
intended for the advancement of human progress.
article_number: e2313162121
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Giulia
full_name: Giubertoni, Giulia
last_name: Giubertoni
- first_name: Liru
full_name: Feng, Liru
last_name: Feng
- first_name: Kevin
full_name: Klein, Kevin
last_name: Klein
- first_name: Guido
full_name: Giannetti, Guido
last_name: Giannetti
- first_name: Luco
full_name: Rutten, Luco
last_name: Rutten
- first_name: Yeji
full_name: Choi, Yeji
last_name: Choi
- first_name: Anouk
full_name: Van Der Net, Anouk
last_name: Van Der Net
- first_name: Gerard
full_name: Castro-Linares, Gerard
last_name: Castro-Linares
- first_name: Federico
full_name: Caporaletti, Federico
last_name: Caporaletti
- first_name: Dimitra
full_name: Micha, Dimitra
last_name: Micha
- first_name: Johannes
full_name: Hunger, Johannes
last_name: Hunger
- first_name: Antoine
full_name: Deblais, Antoine
last_name: Deblais
- first_name: Daniel
full_name: Bonn, Daniel
last_name: Bonn
- first_name: Nico
full_name: Sommerdijk, Nico
last_name: Sommerdijk
- first_name: Anđela
full_name: Šarić, Anđela
id: bf63d406-f056-11eb-b41d-f263a6566d8b
last_name: Šarić
orcid: 0000-0002-7854-2139
- first_name: Ioana M.
full_name: Ilie, Ioana M.
last_name: Ilie
- first_name: Gijsje H.
full_name: Koenderink, Gijsje H.
last_name: Koenderink
- first_name: Sander
full_name: Woutersen, Sander
last_name: Woutersen
citation:
ama: Giubertoni G, Feng L, Klein K, et al. Elucidating the role of water in collagen
self-assembly by isotopically modulating collagen hydration. Proceedings of
the National Academy of Sciences of the United States of America. 2024;121(11).
doi:10.1073/pnas.2313162121
apa: Giubertoni, G., Feng, L., Klein, K., Giannetti, G., Rutten, L., Choi, Y., …
Woutersen, S. (2024). Elucidating the role of water in collagen self-assembly
by isotopically modulating collagen hydration. Proceedings of the National
Academy of Sciences of the United States of America. Proceedings of the National
Academy of Sciences. https://doi.org/10.1073/pnas.2313162121
chicago: Giubertoni, Giulia, Liru Feng, Kevin Klein, Guido Giannetti, Luco Rutten,
Yeji Choi, Anouk Van Der Net, et al. “Elucidating the Role of Water in Collagen
Self-Assembly by Isotopically Modulating Collagen Hydration.” Proceedings of
the National Academy of Sciences of the United States of America. Proceedings
of the National Academy of Sciences, 2024. https://doi.org/10.1073/pnas.2313162121.
ieee: G. Giubertoni et al., “Elucidating the role of water in collagen self-assembly
by isotopically modulating collagen hydration,” Proceedings of the National
Academy of Sciences of the United States of America, vol. 121, no. 11. Proceedings
of the National Academy of Sciences, 2024.
ista: Giubertoni G, Feng L, Klein K, Giannetti G, Rutten L, Choi Y, Van Der Net
A, Castro-Linares G, Caporaletti F, Micha D, Hunger J, Deblais A, Bonn D, Sommerdijk
N, Šarić A, Ilie IM, Koenderink GH, Woutersen S. 2024. Elucidating the role of
water in collagen self-assembly by isotopically modulating collagen hydration.
Proceedings of the National Academy of Sciences of the United States of America.
121(11), e2313162121.
mla: Giubertoni, Giulia, et al. “Elucidating the Role of Water in Collagen Self-Assembly
by Isotopically Modulating Collagen Hydration.” Proceedings of the National
Academy of Sciences of the United States of America, vol. 121, no. 11, e2313162121,
Proceedings of the National Academy of Sciences, 2024, doi:10.1073/pnas.2313162121.
short: G. Giubertoni, L. Feng, K. Klein, G. Giannetti, L. Rutten, Y. Choi, A. Van
Der Net, G. Castro-Linares, F. Caporaletti, D. Micha, J. Hunger, A. Deblais, D.
Bonn, N. Sommerdijk, A. Šarić, I.M. Ilie, G.H. Koenderink, S. Woutersen, Proceedings
of the National Academy of Sciences of the United States of America 121 (2024).
date_created: 2024-03-17T23:00:57Z
date_published: 2024-03-12T00:00:00Z
date_updated: 2024-03-19T11:41:32Z
day: '12'
ddc:
- '550'
department:
- _id: AnSa
doi: 10.1073/pnas.2313162121
external_id:
pmid:
- '38451946'
file:
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checksum: a3f7fdc29dd9f0a38952ab4e322b3a05
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creator: dernst
date_created: 2024-03-19T10:22:42Z
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oa_version: Published Version
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publication: Proceedings of the National Academy of Sciences of the United States
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publisher: Proceedings of the National Academy of Sciences
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title: Elucidating the role of water in collagen self-assembly by isotopically modulating
collagen hydration
tmp:
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legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
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type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 121
year: '2024'
...
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- lang: eng
text: This zip file contains data, and analysis for the paper "Elucidating the role
of water in collagen self-assembly by isotopically modulating collagen hydration".
article_processing_charge: No
author:
- first_name: G.
full_name: Giubertoni, G.
last_name: Giubertoni
- first_name: S.
full_name: Woutersen, S.
last_name: Woutersen
citation:
ama: Giubertoni G, Woutersen S. Dataset Collagen Self Assembly in H2O and D2O. 2024.
doi:10.21942/UVA.24829896
apa: Giubertoni, G., & Woutersen, S. (2024). Dataset Collagen Self Assembly
in H2O and D2O. Figshare. https://doi.org/10.21942/UVA.24829896
chicago: Giubertoni, G., and S. Woutersen. “Dataset Collagen Self Assembly in H2O
and D2O.” Figshare, 2024. https://doi.org/10.21942/UVA.24829896.
ieee: G. Giubertoni and S. Woutersen, “Dataset Collagen Self Assembly in H2O and
D2O.” Figshare, 2024.
ista: Giubertoni G, Woutersen S. 2024. Dataset Collagen Self Assembly in H2O and
D2O, Figshare, 10.21942/UVA.24829896.
mla: Giubertoni, G., and S. Woutersen. Dataset Collagen Self Assembly in H2O
and D2O. Figshare, 2024, doi:10.21942/UVA.24829896.
short: G. Giubertoni, S. Woutersen, (2024).
date_created: 2024-03-19T10:47:16Z
date_published: 2024-02-14T00:00:00Z
date_updated: 2024-03-19T11:41:33Z
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ddc:
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type: research_data_reference
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...
---
_id: '15094'
abstract:
- lang: eng
text: "Point sets, geometric networks, and arrangements of hyperplanes are fundamental
objects in\r\ndiscrete geometry that have captivated mathematicians for centuries,
if not millennia. This\r\nthesis seeks to cast new light on these structures by
illustrating specific instances where a\r\ntopological perspective, specifically
through discrete Morse theory and persistent homology,\r\nprovides valuable insights.\r\n\r\nAt
first glance, the topology of these geometric objects might seem uneventful: point
sets\r\nessentially lack of topology, arrangements of hyperplanes are a decomposition
of Rd, which\r\nis a contractible space, and the topology of a network primarily
involves the enumeration\r\nof connected components and cycles within the network.
However, beneath this apparent\r\nsimplicity, there lies an array of intriguing
structures, a small subset of which will be uncovered\r\nin this thesis.\r\n\r\nFocused
on three case studies, each addressing one of the mentioned objects, this work\r\nwill
showcase connections that intertwine topology with diverse fields such as combinatorial\r\ngeometry,
algorithms and data structures, and emerging applications like spatial biology.\r\n\r\n"
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Sebastiano
full_name: Cultrera di Montesano, Sebastiano
id: 34D2A09C-F248-11E8-B48F-1D18A9856A87
last_name: Cultrera di Montesano
orcid: 0000-0001-6249-0832
citation:
ama: Cultrera di Montesano S. Persistence and Morse theory for discrete geometric
structures. 2024. doi:10.15479/at:ista:15094
apa: Cultrera di Montesano, S. (2024). Persistence and Morse theory for discrete
geometric structures. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:15094
chicago: Cultrera di Montesano, Sebastiano. “Persistence and Morse Theory for Discrete
Geometric Structures.” Institute of Science and Technology Austria, 2024. https://doi.org/10.15479/at:ista:15094.
ieee: S. Cultrera di Montesano, “Persistence and Morse theory for discrete geometric
structures,” Institute of Science and Technology Austria, 2024.
ista: Cultrera di Montesano S. 2024. Persistence and Morse theory for discrete geometric
structures. Institute of Science and Technology Austria.
mla: Cultrera di Montesano, Sebastiano. Persistence and Morse Theory for Discrete
Geometric Structures. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:15094.
short: S. Cultrera di Montesano, Persistence and Morse Theory for Discrete Geometric
Structures, Institute of Science and Technology Austria, 2024.
date_created: 2024-03-08T15:28:10Z
date_published: 2024-03-08T00:00:00Z
date_updated: 2024-03-20T09:36:57Z
day: '08'
ddc:
- '514'
- '500'
- '516'
degree_awarded: PhD
department:
- _id: GradSch
- _id: HeEd
doi: 10.15479/at:ista:15094
ec_funded: 1
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file_name: Thesis Sebastiano.pdf
file_size: 4106872
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oa: 1
oa_version: Published Version
page: '108'
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: 268116B8-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00342
name: The Wittgenstein Prize
- _id: 0aa4bc98-070f-11eb-9043-e6fff9c6a316
grant_number: I4887
name: Discretization in Geometry and Dynamics
- _id: 2561EBF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: I02979-N35
name: Persistence and stability of geometric complexes
publication_identifier:
issn:
- 2663 - 337X
publication_status: published
publisher: Institute of Science and Technology Austria
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relation: part_of_dissertation
status: public
- id: '15093'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
title: Persistence and Morse theory for discrete geometric structures
tmp:
image: /images/cc_by_nc_sa.png
legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC
BY-NC-SA 4.0)
short: CC BY-NC-SA (4.0)
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2024'
...