---
_id: '61'
abstract:
- lang: eng
text: 'We prove that there is no strongly regular graph (SRG) with parameters (460;
153; 32; 60). The proof is based on a recent lower bound on the number of 4-cliques
in a SRG and some applications of Euclidean representation of SRGs. '
article_processing_charge: No
arxiv: 1
author:
- first_name: Andriy
full_name: Bondarenko, Andriy
last_name: Bondarenko
- first_name: Anton
full_name: Mellit, Anton
id: 388D3134-F248-11E8-B48F-1D18A9856A87
last_name: Mellit
- first_name: Andriy
full_name: Prymak, Andriy
last_name: Prymak
- first_name: Danylo
full_name: Radchenko, Danylo
last_name: Radchenko
- first_name: Maryna
full_name: Viazovska, Maryna
last_name: Viazovska
citation:
ama: 'Bondarenko A, Mellit A, Prymak A, Radchenko D, Viazovska M. There is no strongly
regular graph with parameters (460; 153; 32; 60). In: Contemporary Computational
Mathematics. Springer; 2018:131-134. doi:10.1007/978-3-319-72456-0_7'
apa: Bondarenko, A., Mellit, A., Prymak, A., Radchenko, D., & Viazovska, M.
(2018). There is no strongly regular graph with parameters (460; 153; 32; 60).
In Contemporary Computational Mathematics (pp. 131–134). Springer. https://doi.org/10.1007/978-3-319-72456-0_7
chicago: Bondarenko, Andriy, Anton Mellit, Andriy Prymak, Danylo Radchenko, and
Maryna Viazovska. “There Is No Strongly Regular Graph with Parameters (460; 153;
32; 60).” In Contemporary Computational Mathematics, 131–34. Springer,
2018. https://doi.org/10.1007/978-3-319-72456-0_7.
ieee: A. Bondarenko, A. Mellit, A. Prymak, D. Radchenko, and M. Viazovska, “There
is no strongly regular graph with parameters (460; 153; 32; 60),” in Contemporary
Computational Mathematics, Springer, 2018, pp. 131–134.
ista: 'Bondarenko A, Mellit A, Prymak A, Radchenko D, Viazovska M. 2018.There is
no strongly regular graph with parameters (460; 153; 32; 60). In: Contemporary
Computational Mathematics. , 131–134.'
mla: Bondarenko, Andriy, et al. “There Is No Strongly Regular Graph with Parameters
(460; 153; 32; 60).” Contemporary Computational Mathematics, Springer,
2018, pp. 131–34, doi:10.1007/978-3-319-72456-0_7.
short: A. Bondarenko, A. Mellit, A. Prymak, D. Radchenko, M. Viazovska, in:, Contemporary
Computational Mathematics, Springer, 2018, pp. 131–134.
date_created: 2018-12-11T11:44:25Z
date_published: 2018-05-23T00:00:00Z
date_updated: 2021-01-12T08:06:06Z
day: '23'
department:
- _id: TaHa
doi: 10.1007/978-3-319-72456-0_7
extern: '1'
external_id:
arxiv:
- '1509.06286'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1509.06286
month: '05'
oa: 1
oa_version: Preprint
page: 131 - 134
publication: Contemporary Computational Mathematics
publication_status: published
publisher: Springer
publist_id: '7993'
quality_controlled: '1'
status: public
title: There is no strongly regular graph with parameters (460; 153; 32; 60)
type: book_chapter
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2018'
...
---
_id: '6525'
abstract:
- lang: eng
text: This chapter finds an agreement of equivariant indices of semi-classical homomorphisms
between pairwise mirror branes in the GL2 Higgs moduli space on a Riemann surface.
On one side of the agreement, components of the Lagrangian brane of U(1,1) Higgs
bundles, whose mirror was proposed by Hitchin to be certain even exterior powers
of the hyperholomorphic Dirac bundle on the SL2 Higgs moduli space, are present.
The agreement arises from a mysterious functional equation. This gives strong
computational evidence for Hitchin’s proposal.
author:
- first_name: Tamás
full_name: Hausel, Tamás
id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
last_name: Hausel
- first_name: Anton
full_name: Mellit, Anton
id: 388D3134-F248-11E8-B48F-1D18A9856A87
last_name: Mellit
- first_name: Du
full_name: Pei, Du
last_name: Pei
citation:
ama: 'Hausel T, Mellit A, Pei D. Mirror symmetry with branes by equivariant verlinde
formulas. In: Geometry and Physics: Volume I. Oxford University Press;
2018:189-218. doi:10.1093/oso/9780198802013.003.0009'
apa: 'Hausel, T., Mellit, A., & Pei, D. (2018). Mirror symmetry with branes
by equivariant verlinde formulas. In Geometry and Physics: Volume I (pp.
189–218). Oxford University Press. https://doi.org/10.1093/oso/9780198802013.003.0009'
chicago: 'Hausel, Tamás, Anton Mellit, and Du Pei. “Mirror Symmetry with Branes
by Equivariant Verlinde Formulas.” In Geometry and Physics: Volume I, 189–218.
Oxford University Press, 2018. https://doi.org/10.1093/oso/9780198802013.003.0009.'
ieee: 'T. Hausel, A. Mellit, and D. Pei, “Mirror symmetry with branes by equivariant
verlinde formulas,” in Geometry and Physics: Volume I, Oxford University
Press, 2018, pp. 189–218.'
ista: 'Hausel T, Mellit A, Pei D. 2018.Mirror symmetry with branes by equivariant
verlinde formulas. In: Geometry and Physics: Volume I. , 189–218.'
mla: 'Hausel, Tamás, et al. “Mirror Symmetry with Branes by Equivariant Verlinde
Formulas.” Geometry and Physics: Volume I, Oxford University Press, 2018,
pp. 189–218, doi:10.1093/oso/9780198802013.003.0009.'
short: 'T. Hausel, A. Mellit, D. Pei, in:, Geometry and Physics: Volume I, Oxford
University Press, 2018, pp. 189–218.'
date_created: 2019-06-06T12:42:01Z
date_published: 2018-01-01T00:00:00Z
date_updated: 2021-01-12T08:07:52Z
day: '01'
department:
- _id: TaHa
doi: 10.1093/oso/9780198802013.003.0009
language:
- iso: eng
month: '01'
oa_version: None
page: 189-218
publication: 'Geometry and Physics: Volume I'
publication_identifier:
isbn:
- '9780198802013'
- '9780191840500'
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: 1
status: public
title: Mirror symmetry with branes by equivariant verlinde formulas
type: book_chapter
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2018'
...