142 research outputs found
Spanning subset sums for finite Abelian groups
- Author
- Publication venue
- Elsevier Science B.V.
- Publication date
- 28/02/2001
- Field of study
AbstractWe survey the state of research to determine the maximum size of a nonspanning subset of a finite abelian group G of order n. The smallest prime factor of n, denote it here by p, plays a crucial role. For prime order, G=Zp, this is essentially an old problem of ErdĆs and Heilbronn, which can be solved using a result of Dias da Silva and Hamidoune. We provide a simple new proof for the solution when n is even (p=2). For composite odd n, we deduce the solution, for nâ©Ÿ2p2, from results obtained years ago by Diderrich and, recently, by Gao and Hamidoune. Only a small family of cases remains unsettled
(0,1)-Matrices with No HalfâHalf Submatrix of Ones
- Author
- Publication venue
- Academic Press.
- Publication date
- 31/10/1997
- Field of study
AbstractWe consider the minimum number of zeroes in a 2mĂ 2n(0,1)-matrixMthat contains nomĂnsubmatrix of ones. We show that this number, denoted byf(m,n), is at least 2n+m+ 1 formâ€n. We determine exactly when this bound is sharp and determine the extremal matrices in these cases. For anym, the bound is sharp forn=mand for all but finitely manyn>m. A general upper bound due to Gentry,f(m,n) †2m+ 2nâgcd(m,n) + 1, is also derived. Our problem is a special case of the well-known Zarankiewicz problem
L(h,1,1)-Labeling of Outerplanar Graphs
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- 01/01/2006
- Field of study
Vertex Cover Kernelization Revisited: Upper and Lower Bounds for a Refined Parameter
- Author
- A. Schrijver
- A. Soleimanfallah
- B. Chor
- B.M.P. Jansen
- B.M.P. Jansen
- C.K. Yap
- F.N. Abu-Khzam
- F.N. Abu-Khzam
- G. Gutin
- G. Nemhauser
- H. Dell
- H.L. Bodlaender
- H.L. Bodlaender
- H.L. Bodlaender
- I. Razgon
- J. Chen
- J. Chen
- J. DĂaz
- J. Guo
- J. Uhlmann
- J. Zito
- J.F. Buss
- J.R. Griggs
- L. Cai
- L. Fortnow
- M. ChlebĂk
- M. Cygan
- M. Cygan
- M. Dom
- M.R. Fellows
- M.R. Fellows
- M.R. Fellows
- M.R. Garey
- R. Downey
- R. Niedermeier
- R. Niedermeier
- R. Niedermeier
- R.G. Downey
- S. Khot
- S. Kratsch
- S. Mishra
- V. Bafna
- V. Estivill-Castro
- V. Raman
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- 01/01/2012
- Field of study
An important result in the study of polynomial-time preprocessing shows that
there is an algorithm which given an instance (G,k) of Vertex Cover outputs an
equivalent instance (G',k') in polynomial time with the guarantee that G' has
at most 2k' vertices (and thus O((k')^2) edges) with k' <= k. Using the
terminology of parameterized complexity we say that k-Vertex Cover has a kernel
with 2k vertices. There is complexity-theoretic evidence that both 2k vertices
and Theta(k^2) edges are optimal for the kernel size. In this paper we consider
the Vertex Cover problem with a different parameter, the size fvs(G) of a
minimum feedback vertex set for G. This refined parameter is structurally
smaller than the parameter k associated to the vertex covering number vc(G)
since fvs(G) <= vc(G) and the difference can be arbitrarily large. We give a
kernel for Vertex Cover with a number of vertices that is cubic in fvs(G): an
instance (G,X,k) of Vertex Cover, where X is a feedback vertex set for G, can
be transformed in polynomial time into an equivalent instance (G',X',k') such
that |V(G')| <= 2k and |V(G')| <= O(|X'|^3). A similar result holds when the
feedback vertex set X is not given along with the input. In sharp contrast we
show that the Weighted Vertex Cover problem does not have a polynomial kernel
when parameterized by the cardinality of a given vertex cover of the graph
unless NP is in coNP/poly and the polynomial hierarchy collapses to the third
level.Comment: Published in "Theory of Computing Systems" as an Open Access
publicatio
Generalized Powers of Graphs and Their Algorithmic Use
- Author
- A. BrandstÀdt
- A. BrandstÀdt
- A. BrandstÀdt
- A. BrandstÀdt
- A. Raychaudhuri
- A.A. Bertossi
- C. Flotow
- D. Fotakis
- D. KrĂĄlâ
- E. Dahlhaus
- F. Gavril
- F.F. Dragan
- G. Agnarsson
- G. Agnarsson
- G.J. Chang
- H.J. Bandelt
- H.L. Bodlaender
- I. Todinca
- I.A. Karapetian
- J. Fiala
- J.M. Chang
- J.M. Chang
- J.R. Griggs
- M. Chen
- M.R. Garey
- P. Damaschke
- P. Duchet
- R. Laskar
- S. Ramanathan
- T. Calamoneri
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- 01/01/2006
- Field of study
Dust Devil Sediment Transport: From Lab to Field to Global Impact
- Author
- A. Ansmann
- A. Oke
- A. Spiga
- A. Spiga
- A.D. Toigo
- A.D. Zimon
- A.M.C. Oke
- Aymeric Spiga
- B. Marticorena
- B.A. Cantor
- B.A. Cantor
- B.A. Cantor
- B.C. Jemmett-Smith
- B.T. Gheynani
- Bradley C. Jemmett-Smith
- C. Beule de
- C.A. Kellogg
- C.A. Verba
- C.E. Newman
- C.E. Newman
- C.E. Newman
- C.E. Newman
- Claire Newman
- D. Reiss
- D. Reiss
- D. Reiss
- D. Reiss
- D. Reiss
- D. Reiss
- D. Rosenfeld
- D.A. Gillette
- D.J. Griggs
- D.J. Lunt
- D.P. Mulholland
- D.S. Choi
- D.V. Michelangeli
- Dennis Reiss
- E. Derbyshire
- E.A. Shinn
- F. Pantillon
- G. Hess
- G. Sterk
- G. Wurm
- G.A. Loosmore
- H. Lettau
- H. Ohno
- H. Wang
- Henrik KahanpÀÀ
- I.N. Sokolik
- IPCC
- J. Ito
- J. Ito
- J. Ryan
- J.A. Fisher
- J.A. Ryan
- J.C. Kaimal
- J.E. Moores
- J.F. Kok
- J.F. Kok
- J.J. Carroll
- J.P. Mason
- J.P. Mason
- J.R. Murphy
- J.T. Schofield
- J.T. Snow
- J.W. Deardorff
- K. Isono
- K. Schepanski
- K.M. Kanak
- K.M. Kanak
- L. Montabone
- L.D.V. Neakrase
- L.D.V. Neakrase
- L.D.V. Neakrase
- L.K. Fenton
- Lynn D. V. Neakrase
- M. Balme
- M. Bangert
- M. Klose
- M. Klose
- M. Klose
- M. Klose
- M. KĂŒpper
- M.A. Kahre
- M.A. Kahre
- M.D. Smith
- M.R. Balme
- M.T. Lemmon
- M.V. Kurgansky
- Manish R. Patel
- Mark T. Lemmon
- Martina Klose
- Melinda Kahre
- N. Huneeus
- N.O. Renno
- N.O. Renno
- N.O. Renno
- N.P. Webb
- O. Boucher
- P. Deckker De
- P. Thomas
- P.C. Sinclair
- P.C. Sinclair
- P.L. Read
- P.L. Whelley
- P.P. Sullivan
- Patrick L. Whelley
- Peter Knippertz
- R. Greeley
- R. Greeley
- R. Greeley
- R. Greeley
- R. Hesse
- R. Lorenz
- R. Lorenz
- R.A. Bagnold
- R.D. Lorenz
- R.D. Lorenz
- R.D. Lorenz
- R.D. Lorenz
- R.L. Miller
- R.V. Cakmur
- Ralph D. Lorenz
- S. Basu
- S. Raasch
- S.C.R. Rafkin
- S.M. Cowie
- S.M. Metzger
- S.M. Metzger
- Stephen R. Lewis
- T. Lyons
- T. Takemi
- T.I. Michaels
- T.Y. Tanaka
- V.H. Garrison
- Y. Shao
- Y. Shao
- Y. Shao
- Y. Shao
- Y. Shao
- Y. Shao
- Y.Z. Zhao
- Z. Gu
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- 01/01/2016
- Field of study
The impact of dust aerosols on the climate and environment of Earth and Mars is complex and forms a major area of research. AÂ difficulty arises in estimating the contribution of small-scale dust devils to the total dust aerosol. This difficulty is due to uncertainties in the amount of dust lifted by individual dust devils, the frequency of dust devil occurrence, and the lack of statistical generality of individual experiments and observations. In this paper, we review results of observational, laboratory, and modeling studies and provide an overview of dust devil dust transport on various spatio-temporal scales as obtained with the different research approaches. Methods used for the investigation of dust devils on Earth and Mars vary. For example, while the use of imagery for the investigation of dust devil occurrence frequency is common practice for Mars, this is less so the case for Earth. Modeling approaches for Earth and Mars are similar in that they are based on the same underlying theory, but they are applied in different ways. Insights into the benefits and limitations of each approach suggest potential future research focuses, which can further reduce the uncertainty associated with dust devil dust entrainment. The potential impacts of dust devils on the climates of Earth and Mars are discussed on the basis of the presented research results
Search for Gravitational Waves Associated with Gamma-Ray Bursts Detected by Fermi and Swift during the LIGO-Virgo Run O3b
- Author
- Abbott R.
- Abbott T.D.
- Acernese F.
- Ackley K.
- Adams C.
- Adhikari N.
- Adhikari R.X.
- Adya V.B.
- Affeldt C.
- Agarwal D.
- Agathos M.
- Agatsuma K.
- Aggarwal N.
- Aguiar O.D.
- Aiello L.
- Ain A.
- Ajith P.
- Akutsu T.
- Albanesi S.
- Allocca A.
- Altin P.A.
- Amato A.
- Anand C.
- Anand S.
- Ananyeva A.
- Anderson S.B.
- Anderson W.G.
- Ando M.
- Andrade T.
- Andres N.
- AndriÄ T.
- Angelova S.V.
- Ansoldi S.
- Antelis J.M.
- Antier S.
- Appert S.
- Arai Koji
- Arai Koya
- Arai Y.
- Araki S.
- Araya A.
- Araya M.C.
- Areeda J.S.
- Arellano F. E. Peña
- Aritomi N.
- Arnaud N.
- Aronson S.M.
- Arun K.G.
- ArĂšne M.
- Asada H.
- Asali Y.
- Ashton G.
- Aso Y.
- Assiduo M.
- Aston S.M.
- Astone P.
- Aubin F.
- Austin C.
- Babak S.
- Badaracco F.
- Bader M.K.M.
- Badger C.
- Bae S.
- Bae Y.
- Baer A.M.
- Bagnasco S.
- Bai Y.
- Baiotti L.
- Baird J.
- Bajpai R.
- Ball M.
- Ballardin G.
- Ballmer S.W.
- Balsamo A.
- Baltus G.
- Banagiri S.
- Bankar D.
- Barayoga J.C.
- Barbieri C.
- Barish B.C.
- Barker D.
- Barneo P.
- Barone F.
- Barr B.
- Barsotti L.
- Barsuglia M.
- Barta D.
- Bartlett J.
- Barton M.A.
- Bartos I.
- Bassiri R.
- Basti A.
- Bawaj M.
- Bayley J.C.
- Baylor A.C.
- Bazzan M.
- Bedakihale V.M.
- Bejger M.
- Belahcene I.
- Benedetto V.
- Beniwal D.
- Bennett T.F.
- Bentley J.D.
- Benyaala M.
- Bergamin F.
- Berger B.K.
- Bernuzzi S.
- Berry C.P.L.
- Bersanetti D.
- Bertolini A.
- Betzwieser J.
- Beveridge D.
- Bhandare R.
- Bhardwaj U.
- Bhattacharjee D.
- Bhaumik S.
- Bilenko I.A.
- Billingsley G.
- Bini S.
- Birney R.
- Birnholtz O.
- Biscans S.
- Bischi M.
- Biscoveanu S.
- Bisht A.
- Biswas B.
- Bitossi M.
- Bizouard M.-A.
- Blackburn J.K.
- Blair C.D.
- Blair D.G.
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- Bobba F.
- Bode N.
- Boer M.
- Bogaert G.
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- Bonavena L.D.
- Bondu F.
- Bonilla E.
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- Booker P.
- Boom B.A.
- Bork R.
- Boschi V.
- Bose N.
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- Bossilkov V.
- Boudart V.
- Bouffanais Y.
- Bozzi A.
- Bradaschia C.
- Brady P.R.
- Bramley A.
- Branch A.
- Branchesi M.
- Brau J.E.
- Breschi M.
- Briant T.
- Briggs J.H.
- Brillet A.
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- Chanial P.
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- Chatterjee C.
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- Chia H.Y.
- Chiadini F.
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- Chiummo A.
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- Christensen N.
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- Chu Q.
- Chu Y.-K.
- Chua S.
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- Coughlin M.W.
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- Countryman S.T.
- Cousins B.
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- Creighton J.D.E.
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- Guidi G.M.
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- Zweizig J.
- Publication venue
- London : Institute of Physics Publ.
- Publication date
- 01/01/2022
- Field of study
We search for gravitational-wave signals associated with gamma-ray bursts (GRBs) detected by the Fermi and Swift satellites during the second half of the third observing run of Advanced LIGO and Advanced Virgo (2019 November 1 15:00 UTC-2020 March 27 17:00 UTC). We conduct two independent searches: A generic gravitational-wave transients search to analyze 86 GRBs and an analysis to target binary mergers with at least one neutron star as short GRB progenitors for 17 events. We find no significant evidence for gravitational-wave signals associated with any of these GRBs. A weighted binomial test of the combined results finds no evidence for subthreshold gravitational-wave signals associated with this GRB ensemble either. We use several source types and signal morphologies during the searches, resulting in lower bounds on the estimated distance to each GRB. Finally, we constrain the population of low-luminosity short GRBs using results from the first to the third observing runs of Advanced LIGO and Advanced Virgo. The resulting population is in accordance with the local binary neutron star merger rate. © 2022. The Author(s). Published by the American Astronomical Society
Narrowband Searches for Continuous and Long-duration Transient Gravitational Waves from Known Pulsars in the LIGO-Virgo Third Observing Run
- Author
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- Zweizig J.
- Publication venue
- London : Institute of Physics Publ.
- Publication date
- 01/01/2022
- Field of study
Isolated neutron stars that are asymmetric with respect to their spin axis are possible sources of detectable continuous gravitational waves. This paper presents a fully coherent search for such signals from eighteen pulsars in data from LIGO and Virgo's third observing run (O3). For known pulsars, efficient and sensitive matched-filter searches can be carried out if one assumes the gravitational radiation is phase-locked to the electromagnetic emission. In the search presented here, we relax this assumption and allow both the frequency and the time derivative of the frequency of the gravitational waves to vary in a small range around those inferred from electromagnetic observations. We find no evidence for continuous gravitational waves, and set upper limits on the strain amplitude for each target. These limits are more constraining for seven of the targets than the spin-down limit defined by ascribing all rotational energy loss to gravitational radiation. In an additional search, we look in O3 data for long-duration (hours-months) transient gravitational waves in the aftermath of pulsar glitches for six targets with a total of nine glitches. We report two marginal outliers from this search, but find no clear evidence for such emission either. The resulting duration-dependent strain upper limits do not surpass indirect energy constraints for any of these targets. © 2022. The Author(s). Published by the American Astronomical Society
Search for gravitational-wave transients associated with magnetar bursts in advanced LIGO and advanced Virgo data from the third observing run
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- Yeh S.-W
- Yelikar A.B
- Ying M
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- Yokozawa T
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- Yu Hang
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- Yuzurihara H
- ZadroĆŒny A
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- Zweizig J
- Publication venue
- American Astronomical Society
- Publication date
- 01/01/2024
- Field of study
Gravitational waves are expected to be produced from neutron star oscillations associated with magnetar giant f lares and short bursts. We present the results of a search for short-duration (milliseconds to seconds) and longduration (âŒ100 s) transient gravitational waves from 13 magnetar short bursts observed during Advanced LIGO, Advanced Virgo, and KAGRAâs third observation run. These 13 bursts come from two magnetars, SGR1935 +2154 and SwiftJ1818.0â1607. We also include three other electromagnetic burst events detected by FermiGBM which were identified as likely coming from one or more magnetars, but they have no association with a known magnetar. No magnetar giant flares were detected during the analysis period. We find no evidence of gravitational waves associated with any of these 16 bursts. We place upper limits on the rms of the integrated incident gravitational-wave strain that reach 3.6 Ă 10âÂČÂł Hz at 100 Hz for the short-duration search and 1.1 Ă10âÂČÂČ Hz at 450 Hz for the long-duration search. For a ringdown signal at 1590 Hz targeted by the short-duration search the limit is set to 2.3 Ă 10âÂČÂČ Hz. Using the estimated distance to each magnetar, we derive upper limits upper limits on the emitted gravitational-wave energy of 1.5 Ă 1044 erg (1.0 Ă 1044 erg) for SGR 1935+2154 and 9.4 Ă 10^43 erg (1.3 Ă 1044 erg) for Swift J1818.0â1607, for the short-duration (long-duration) search. Assuming isotropic emission of electromagnetic radiation of the burst ïŹuences, we constrain the ratio of gravitational-wave energy to electromagnetic energy for bursts from SGR 1935+2154 with the available ïŹuence information. The lowest of these ratios is 4.5 Ă 103
A joint Fermi-GBM and Swift-BAT analysis of gravitational-wave candidates from the third gravitational-wave observing run
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- Zweizig J.
- Publication venue
- American Astronomical Society
- Publication date
- 01/04/2024
- Field of study
We present Fermi Gamma-ray Burst Monitor (Fermi-GBM) and Swift Burst Alert Telescope (Swift-BAT) searches for gamma-ray/X-ray counterparts to gravitational-wave (GW) candidate events identified during the third observing run of the Advanced LIGO and Advanced Virgo detectors. Using Fermi-GBM onboard triggers and subthreshold gamma-ray burst (GRB) candidates found in the Fermi-GBM ground analyses, the Targeted Search and the Untargeted Search, we investigate whether there are any coincident GRBs associated with the GWs. We also search the Swift-BAT rate data around the GW times to determine whether a GRB counterpart is present. No counterparts are found. Using both the Fermi-GBM Targeted Search and the Swift-BAT search, we calculate flux upper limits and present joint upper limits on the gamma-ray luminosity of each GW. Given these limits, we constrain theoretical models for the emission of gamma rays from binary black hole mergers
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