---
_id: '186'
abstract:
- lang: eng
text: 'A drawing of a graph on a surface is independently even if every pair of
nonadjacent edges in the drawing crosses an even number of times. The ℤ2-genus
of a graph G is the minimum g such that G has an independently even drawing on
the orientable surface of genus g. An unpublished result by Robertson and Seymour
implies that for every t, every graph of sufficiently large genus contains as
a minor a projective t × t grid or one of the following so-called t-Kuratowski
graphs: K3, t, or t copies of K5 or K3,3 sharing at most 2 common vertices. We
show that the ℤ2-genus of graphs in these families is unbounded in t; in fact,
equal to their genus. Together, this implies that the genus of a graph is bounded
from above by a function of its ℤ2-genus, solving a problem posed by Schaefer
and Štefankovič, and giving an approximate version of the Hanani-Tutte theorem
on orientable surfaces.'
alternative_title:
- LIPIcs
article_processing_charge: No
author:
- first_name: Radoslav
full_name: Fulek, Radoslav
id: 39F3FFE4-F248-11E8-B48F-1D18A9856A87
last_name: Fulek
orcid: 0000-0001-8485-1774
- first_name: Jan
full_name: Kynčl, Jan
last_name: Kynčl
citation:
ama: 'Fulek R, Kynčl J. The ℤ2-Genus of Kuratowski minors. In: Vol 99. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik; 2018:40.1-40.14. doi:10.4230/LIPIcs.SoCG.2018.40'
apa: 'Fulek, R., & Kynčl, J. (2018). The ℤ2-Genus of Kuratowski minors (Vol.
99, p. 40.1-40.14). Presented at the SoCG: Symposium on Computational Geometry,
Budapest, Hungary: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2018.40'
chicago: Fulek, Radoslav, and Jan Kynčl. “The ℤ2-Genus of Kuratowski Minors,” 99:40.1-40.14.
Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018. https://doi.org/10.4230/LIPIcs.SoCG.2018.40.
ieee: 'R. Fulek and J. Kynčl, “The ℤ2-Genus of Kuratowski minors,” presented at
the SoCG: Symposium on Computational Geometry, Budapest, Hungary, 2018, vol. 99,
p. 40.1-40.14.'
ista: 'Fulek R, Kynčl J. 2018. The ℤ2-Genus of Kuratowski minors. SoCG: Symposium
on Computational Geometry, LIPIcs, vol. 99, 40.1-40.14.'
mla: Fulek, Radoslav, and Jan Kynčl. The ℤ2-Genus of Kuratowski Minors. Vol.
99, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, p. 40.1-40.14, doi:10.4230/LIPIcs.SoCG.2018.40.
short: R. Fulek, J. Kynčl, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2018, p. 40.1-40.14.
conference:
end_date: 2018-06-14
location: Budapest, Hungary
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2018-06-11
date_created: 2018-12-11T11:45:05Z
date_published: 2018-06-11T00:00:00Z
date_updated: 2023-08-14T12:43:51Z
day: '11'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.SoCG.2018.40
external_id:
arxiv:
- '1803.05085'
intvolume: ' 99'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1803.05085
month: '06'
oa: 1
oa_version: Submitted Version
page: 40.1 - 40.14
project:
- _id: 261FA626-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: M02281
name: Eliminating intersections in drawings of graphs
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7734'
quality_controlled: '1'
related_material:
record:
- id: '11593'
relation: later_version
status: public
scopus_import: '1'
status: public
title: The ℤ2-Genus of Kuratowski minors
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 99
year: '2018'
...
---
_id: '433'
abstract:
- lang: eng
text: 'A thrackle is a graph drawn in the plane so that every pair of its edges
meet exactly once: either at a common end vertex or in a proper crossing. We prove
that any thrackle of n vertices has at most 1.3984n edges. Quasi-thrackles are
defined similarly, except that every pair of edges that do not share a vertex
are allowed to cross an odd number of times. It is also shown that the maximum
number of edges of a quasi-thrackle on n vertices is 3/2(n-1), and that this bound
is best possible for infinitely many values of n.'
alternative_title:
- LNCS
author:
- first_name: Radoslav
full_name: Fulek, Radoslav
id: 39F3FFE4-F248-11E8-B48F-1D18A9856A87
last_name: Fulek
orcid: 0000-0001-8485-1774
- first_name: János
full_name: Pach, János
last_name: Pach
citation:
ama: 'Fulek R, Pach J. Thrackles: An improved upper bound. In: Vol 10692. Springer;
2018:160-166. doi:10.1007/978-3-319-73915-1_14'
apa: 'Fulek, R., & Pach, J. (2018). Thrackles: An improved upper bound (Vol.
10692, pp. 160–166). Presented at the GD 2017: Graph Drawing and Network Visualization,
Boston, MA, United States: Springer. https://doi.org/10.1007/978-3-319-73915-1_14'
chicago: 'Fulek, Radoslav, and János Pach. “Thrackles: An Improved Upper Bound,”
10692:160–66. Springer, 2018. https://doi.org/10.1007/978-3-319-73915-1_14.'
ieee: 'R. Fulek and J. Pach, “Thrackles: An improved upper bound,” presented at
the GD 2017: Graph Drawing and Network Visualization, Boston, MA, United States,
2018, vol. 10692, pp. 160–166.'
ista: 'Fulek R, Pach J. 2018. Thrackles: An improved upper bound. GD 2017: Graph
Drawing and Network Visualization, LNCS, vol. 10692, 160–166.'
mla: 'Fulek, Radoslav, and János Pach. Thrackles: An Improved Upper Bound.
Vol. 10692, Springer, 2018, pp. 160–66, doi:10.1007/978-3-319-73915-1_14.'
short: R. Fulek, J. Pach, in:, Springer, 2018, pp. 160–166.
conference:
end_date: 2017-09-27
location: Boston, MA, United States
name: 'GD 2017: Graph Drawing and Network Visualization'
start_date: 201-09-25
date_created: 2018-12-11T11:46:27Z
date_published: 2018-01-21T00:00:00Z
date_updated: 2023-08-24T14:39:32Z
day: '21'
department:
- _id: UlWa
doi: 10.1007/978-3-319-73915-1_14
external_id:
arxiv:
- '1708.08037'
intvolume: ' 10692'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1708.08037
month: '01'
oa: 1
oa_version: Submitted Version
page: 160 - 166
publication_status: published
publisher: Springer
publist_id: '7390'
quality_controlled: '1'
related_material:
record:
- id: '5857'
relation: later_version
status: public
scopus_import: 1
status: public
title: 'Thrackles: An improved upper bound'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10692
year: '2018'
...
---
_id: '9837'
abstract:
- lang: eng
text: Both classical and recent studies suggest that chromosomal inversion polymorphisms
are important in adaptation and speciation. However, biases in discovery and reporting
of inversions make it difficult to assess their prevalence and biological importance.
Here, we use an approach based on linkage disequilibrium among markers genotyped
for samples collected across a transect between contrasting habitats to detect
chromosomal rearrangements de novo. We report 17 polymorphic rearrangements in
a single locality for the coastal marine snail, Littorina saxatilis. Patterns
of diversity in the field and of recombination in controlled crosses provide strong
evidence that at least the majority of these rearrangements are inversions. Most
show clinal changes in frequency between habitats, suggestive of divergent selection,
but only one appears to be fixed for different arrangements in the two habitats.
Consistent with widespread evidence for balancing selection on inversion polymorphisms,
we argue that a combination of heterosis and divergent selection can explain the
observed patterns and should be considered in other systems spanning environmental
gradients.
article_processing_charge: No
author:
- first_name: Rui
full_name: Faria, Rui
last_name: Faria
- first_name: Pragya
full_name: Chaube, Pragya
last_name: Chaube
- first_name: Hernán E.
full_name: Morales, Hernán E.
last_name: Morales
- first_name: Tomas
full_name: Larsson, Tomas
last_name: Larsson
- first_name: Alan R.
full_name: Lemmon, Alan R.
last_name: Lemmon
- first_name: Emily M.
full_name: Lemmon, Emily M.
last_name: Lemmon
- first_name: Marina
full_name: Rafajlović, Marina
last_name: Rafajlović
- first_name: Marina
full_name: Panova, Marina
last_name: Panova
- first_name: Mark
full_name: Ravinet, Mark
last_name: Ravinet
- first_name: Kerstin
full_name: Johannesson, Kerstin
last_name: Johannesson
- first_name: Anja M
full_name: Westram, Anja M
id: 3C147470-F248-11E8-B48F-1D18A9856A87
last_name: Westram
orcid: 0000-0003-1050-4969
- first_name: Roger K.
full_name: Butlin, Roger K.
last_name: Butlin
citation:
ama: 'Faria R, Chaube P, Morales HE, et al. Data from: Multiple chromosomal rearrangements
in a hybrid zone between Littorina saxatilis ecotypes. 2018. doi:10.5061/dryad.72cg113'
apa: 'Faria, R., Chaube, P., Morales, H. E., Larsson, T., Lemmon, A. R., Lemmon,
E. M., … Butlin, R. K. (2018). Data from: Multiple chromosomal rearrangements
in a hybrid zone between Littorina saxatilis ecotypes. Dryad. https://doi.org/10.5061/dryad.72cg113'
chicago: 'Faria, Rui, Pragya Chaube, Hernán E. Morales, Tomas Larsson, Alan R. Lemmon,
Emily M. Lemmon, Marina Rafajlović, et al. “Data from: Multiple Chromosomal Rearrangements
in a Hybrid Zone between Littorina Saxatilis Ecotypes.” Dryad, 2018. https://doi.org/10.5061/dryad.72cg113.'
ieee: 'R. Faria et al., “Data from: Multiple chromosomal rearrangements in
a hybrid zone between Littorina saxatilis ecotypes.” Dryad, 2018.'
ista: 'Faria R, Chaube P, Morales HE, Larsson T, Lemmon AR, Lemmon EM, Rafajlović
M, Panova M, Ravinet M, Johannesson K, Westram AM, Butlin RK. 2018. Data from:
Multiple chromosomal rearrangements in a hybrid zone between Littorina saxatilis
ecotypes, Dryad, 10.5061/dryad.72cg113.'
mla: 'Faria, Rui, et al. Data from: Multiple Chromosomal Rearrangements in a
Hybrid Zone between Littorina Saxatilis Ecotypes. Dryad, 2018, doi:10.5061/dryad.72cg113.'
short: R. Faria, P. Chaube, H.E. Morales, T. Larsson, A.R. Lemmon, E.M. Lemmon,
M. Rafajlović, M. Panova, M. Ravinet, K. Johannesson, A.M. Westram, R.K. Butlin,
(2018).
date_created: 2021-08-09T12:46:39Z
date_published: 2018-10-09T00:00:00Z
date_updated: 2023-08-24T14:50:26Z
day: '09'
department:
- _id: NiBa
doi: 10.5061/dryad.72cg113
main_file_link:
- open_access: '1'
url: https://doi.org/10.5061/dryad.72cg113
month: '10'
oa: 1
oa_version: Published Version
publisher: Dryad
related_material:
record:
- id: '6095'
relation: used_in_publication
status: public
status: public
title: 'Data from: Multiple chromosomal rearrangements in a hybrid zone between Littorina
saxatilis ecotypes'
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2018'
...
---
_id: '5457'
abstract:
- lang: eng
text: "We consider the problem of expected cost analysis over nondeterministic probabilistic
programs, which aims at automated methods for analyzing the resource-usage of
such programs. Previous approaches for this problem could only handle nonnegative
bounded costs. However, in many scenarios, such as queuing networks or analysis
of cryptocurrency protocols, both positive and negative costs are necessary and
the costs are unbounded as well.\r\n\r\nIn this work, we present a sound and efficient
approach to obtain polynomial bounds on the expected accumulated cost of nondeterministic
probabilistic programs. Our approach can handle (a) general positive and negative
costs with bounded updates in variables; and (b) nonnegative costs with general
updates to variables. We show that several natural examples which could not be
handled by previous approaches are captured in our framework.\r\n\r\nMoreover,
our approach leads to an efficient polynomial-time algorithm, while no previous
approach for cost analysis of probabilistic programs could guarantee polynomial
runtime. Finally, we show the effectiveness of our approach by presenting experimental
results on a variety of programs, motivated by real-world applications, for which
we efficiently synthesize tight resource-usage bounds."
alternative_title:
- IST Austria Technical Report
author:
- first_name: '1'
full_name: Anonymous, 1
last_name: Anonymous
- first_name: '2'
full_name: Anonymous, 2
last_name: Anonymous
- first_name: '3'
full_name: Anonymous, 3
last_name: Anonymous
- first_name: '4'
full_name: Anonymous, 4
last_name: Anonymous
- first_name: '5'
full_name: Anonymous, 5
last_name: Anonymous
- first_name: '6'
full_name: Anonymous, 6
last_name: Anonymous
citation:
ama: Anonymous 1, Anonymous 2, Anonymous 3, Anonymous 4, Anonymous 5, Anonymous
6. Cost Analysis of Nondeterministic Probabilistic Programs. IST Austria;
2018.
apa: Anonymous, 1, Anonymous, 2, Anonymous, 3, Anonymous, 4, Anonymous, 5, &
Anonymous, 6. (2018). Cost analysis of nondeterministic probabilistic programs.
IST Austria.
chicago: Anonymous, 1, 2 Anonymous, 3 Anonymous, 4 Anonymous, 5 Anonymous, and 6
Anonymous. Cost Analysis of Nondeterministic Probabilistic Programs. IST
Austria, 2018.
ieee: 1 Anonymous, 2 Anonymous, 3 Anonymous, 4 Anonymous, 5 Anonymous, and 6 Anonymous,
Cost analysis of nondeterministic probabilistic programs. IST Austria,
2018.
ista: Anonymous 1, Anonymous 2, Anonymous 3, Anonymous 4, Anonymous 5, Anonymous
6. 2018. Cost analysis of nondeterministic probabilistic programs, IST Austria,
27p.
mla: Anonymous, 1, et al. Cost Analysis of Nondeterministic Probabilistic Programs.
IST Austria, 2018.
short: 1 Anonymous, 2 Anonymous, 3 Anonymous, 4 Anonymous, 5 Anonymous, 6 Anonymous,
Cost Analysis of Nondeterministic Probabilistic Programs, IST Austria, 2018.
date_created: 2018-12-12T11:39:26Z
date_published: 2018-11-11T00:00:00Z
date_updated: 2023-08-25T08:07:48Z
day: '11'
ddc:
- '000'
file:
- access_level: open_access
checksum: ba3adafd36fe200385ccda583063b9eb
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:32Z
date_updated: 2020-07-14T12:47:00Z
file_id: '5493'
file_name: IST-2018-1066-v1+1_techreport.pdf
file_size: 4202966
relation: main_file
- access_level: closed
checksum: 6cf3a19164bb8e5048a9c8c84dfd9fa3
content_type: text/plain
creator: dernst
date_created: 2019-05-10T13:22:12Z
date_updated: 2020-07-14T12:47:00Z
file_id: '6402'
file_name: authors-names.txt
file_size: 322
relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: '27'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '1066'
related_material:
record:
- id: '6175'
relation: later_version
status: public
scopus_import: 1
status: public
title: Cost analysis of nondeterministic probabilistic programs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2018'
...
---
_id: '10864'
abstract:
- lang: eng
text: We prove that every congruence distributive variety has directed Jónsson terms,
and every congruence modular variety has directed Gumm terms. The directed terms
we construct witness every case of absorption witnessed by the original Jónsson
or Gumm terms. This result is equivalent to a pair of claims about absorption
for admissible preorders in congruence distributive and congruence modular varieties,
respectively. For finite algebras, these absorption theorems have already seen
significant applications, but until now, it was not clear if the theorems hold
for general algebras as well. Our method also yields a novel proof of a result
by P. Lipparini about the existence of a chain of terms (which we call Pixley
terms) in varieties that are at the same time congruence distributive and k-permutable
for some k.
acknowledgement: The second author was supported by National Science Center grant
DEC-2011-/01/B/ST6/01006.
article_processing_charge: No
author:
- first_name: Alexandr
full_name: Kazda, Alexandr
id: 3B32BAA8-F248-11E8-B48F-1D18A9856A87
last_name: Kazda
- first_name: Marcin
full_name: Kozik, Marcin
last_name: Kozik
- first_name: Ralph
full_name: McKenzie, Ralph
last_name: McKenzie
- first_name: Matthew
full_name: Moore, Matthew
last_name: Moore
citation:
ama: 'Kazda A, Kozik M, McKenzie R, Moore M. Absorption and directed Jónsson terms.
In: Czelakowski J, ed. Don Pigozzi on Abstract Algebraic Logic, Universal Algebra,
and Computer Science. Vol 16. OCTR. Cham: Springer Nature; 2018:203-220. doi:10.1007/978-3-319-74772-9_7'
apa: 'Kazda, A., Kozik, M., McKenzie, R., & Moore, M. (2018). Absorption and
directed Jónsson terms. In J. Czelakowski (Ed.), Don Pigozzi on Abstract Algebraic
Logic, Universal Algebra, and Computer Science (Vol. 16, pp. 203–220). Cham:
Springer Nature. https://doi.org/10.1007/978-3-319-74772-9_7'
chicago: 'Kazda, Alexandr, Marcin Kozik, Ralph McKenzie, and Matthew Moore. “Absorption
and Directed Jónsson Terms.” In Don Pigozzi on Abstract Algebraic Logic, Universal
Algebra, and Computer Science, edited by J Czelakowski, 16:203–20. OCTR. Cham:
Springer Nature, 2018. https://doi.org/10.1007/978-3-319-74772-9_7.'
ieee: 'A. Kazda, M. Kozik, R. McKenzie, and M. Moore, “Absorption and directed Jónsson
terms,” in Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and
Computer Science, vol. 16, J. Czelakowski, Ed. Cham: Springer Nature, 2018,
pp. 203–220.'
ista: 'Kazda A, Kozik M, McKenzie R, Moore M. 2018.Absorption and directed Jónsson
terms. In: Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer
Science. vol. 16, 203–220.'
mla: Kazda, Alexandr, et al. “Absorption and Directed Jónsson Terms.” Don Pigozzi
on Abstract Algebraic Logic, Universal Algebra, and Computer Science, edited
by J Czelakowski, vol. 16, Springer Nature, 2018, pp. 203–20, doi:10.1007/978-3-319-74772-9_7.
short: A. Kazda, M. Kozik, R. McKenzie, M. Moore, in:, J. Czelakowski (Ed.), Don
Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science,
Springer Nature, Cham, 2018, pp. 203–220.
date_created: 2022-03-18T10:30:32Z
date_published: 2018-03-21T00:00:00Z
date_updated: 2023-09-05T15:37:18Z
day: '21'
department:
- _id: VlKo
doi: 10.1007/978-3-319-74772-9_7
editor:
- first_name: J
full_name: Czelakowski, J
last_name: Czelakowski
external_id:
arxiv:
- '1502.01072'
intvolume: ' 16'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1502.01072
month: '03'
oa: 1
oa_version: Preprint
page: 203-220
place: Cham
publication: Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer
Science
publication_identifier:
eisbn:
- '9783319747729'
eissn:
- 2211-2766
isbn:
- '9783319747712'
issn:
- 2211-2758
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
series_title: OCTR
status: public
title: Absorption and directed Jónsson terms
type: book_chapter
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 16
year: '2018'
...