output
20062026
most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

Showing 2022Show all

23 papers · 1 filter

math.CO2022★ 4 cited

Twin-width of random graphs

Jungho Ahn, Debsoumya Chakraborti, Kevin Hendrey +2

We investigate the twin-width of the Erdős-Rényi random graph . We unveil a surprising behavior of this parameter by showing the existence of a constant su…

math.QA2022★ 2 cited

Crystal base of the negative half of the quantum superalgebra

Il-Seung Jang, Jae-Hoon Kwon, Akito Uruno

We construct a crystal base of , the negative half of the quantum superalgebra . We give a combinatorial description of the asso…

math.CO2022★ 2 cited

A unified Erdős-Pósa theorem for cycles in graphs labelled by multiple abelian groups

J. Pascal Gollin, Kevin Hendrey, O-joung Kwon +2

In 1965, Erdős and Pósa proved that there is an (approximate) duality between the maximum size of a packing of cycles and the minimum size of a vertex set hitting all cycles. Such…

astro-ph.HE2022★ 28 cited

Model-based cross-correlation search for gravitational waves from the low-mass X-ray binary Scorpius X-1 in LIGO O3 data

The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration +1692

We present the results of a model-based search for continuous gravitational waves from the low-mass X-ray binary Scorpius X-1 using LIGO detector data from the third observing run…

cs.CC2022★ 5 cited

The proper conflict-free -coloring problem and the odd -coloring problem are NP-complete on bipartite graphs

Jungho Ahn, Seonghyuk Im, Sang-il Oum

A proper coloring of a graph is \emph{proper conflict-free} if every non-isolated vertex has a neighbor whose color is unique in the neighborhood of . A proper coloring of a…

gr-qc2022★ 10 cited

Training Process of Unsupervised Learning Architecture for Gravity Spy Dataset

Yusuke Sakai, Yousuke Itoh, Piljong Jung +11

Transient noise appearing in the data from gravitational-wave detectors frequently causes problems, such as instability of the detectors and overlapping or mimicking gravitational-…

math.SG2022★ 3 cited

Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence

Peter Albers, Jungsoo Kang

This article is concerned with the Rabinowitz Floer homology of negative line bundles. We construct a refined version of Rabinowitz Floer homology and study its properties. In part…

math.MG2022★ 3 cited

The Topology of the set of line Transversals

Otfried Cheong, Xavier Goaoc, Andreas F. Holmsen

We prove that for any set of pairwise disjoint open convex sets in , the connected components of the set of lines intersecting every member of are co…

math.AP2022★ 4 cited

Stability of monotone, non-negative, and compactly supported vorticities in the half cylinder and infinite perimeter growth for patches

Kyudong Choi, In-Jee Jeong, Deokwoo Lim

We consider the incompressible Euler equations in the half cylinder . In this domain, any vorticity which is independent of defines a statio…

math.CO2022★ 3 cited

A colorful Goodman-Pollack-Wenger theorem

Andreas F. Holmsen

Hadwiger's transversal theorem gives necessary and sufficient conditions for the existence of a line transversal to a family of pairwise disjoint convex sets in the plane. These co…

astro-ph.HE2022★ 70 cited

Search for continuous gravitational wave emission from the Milky Way center in O3 LIGO--Virgo data

The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration +1667

We present a directed search for continuous gravitational wave (CW) signals emitted by spinning neutron stars located in the inner parsecs of the Galactic Center (GC). Compelling e…

math.CO2022★ 11 cited

On a rainbow extremal problem for color-critical graphs

Debsoumya Chakraborti, Jaehoon Kim, Hyunwoo Lee +2

There has been extensive studies on the following question: given graphs over a common vertex set of size , what conditions on ensures a `colorful' co…

astro-ph.IM2022★ 4 cited

Identifying multichannel coherent couplings and causal relationships in gravitational wave detectors

Piljong Jung, Sang Hoon Oh, Young-Min Kim +4

The gravitational-wave detector is a complex and sensitive collection of advanced instruments that are impacted not only by mechanical/electronics systems but also by the surroundi…

math.AP2022★ 23 cited

The Wiener criterion for nonlocal Dirichlet problems

Minhyun Kim, Ki-Ahm Lee, Se-Chan Lee

We study the boundary behavior of solutions to the Dirichlet problems for integro-differential operators with order of differentiability and summability . We es…

astro-ph.IM2022★ 30 cited

Performance of the KAGRA detector during the first joint observation with GEO 600 (O3GK)

KAGRA Collaboration, H. Abe, R. X. Adhikari +212

KAGRA, the kilometer-scale underground gravitational-wave detector, is located at Kamioka, Japan. In April 2020, an astrophysics observation was performed at the KAGRA detector in…

math.RT2022★ 3 cited

Affinization of -oscillator representations of

Jae-Hoon Kwon, Sin-Myung Lee

We introduce a category of -oscillator representations of the quantum affine algebra . We show that $\widehat{\…

gr-qc2022★ 3 cited

First joint observation by the underground gravitational-wave detector, KAGRA, with GEO600

The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration +1669

We report the results of the first joint observation of the KAGRA detector with GEO600. KAGRA is a cryogenic and underground gravitational-wave detector consisting of a laser inter…

math.CO2022★ 3 cited

Independent domination of graphs with bounded maximum degree

Eun-Kyung Cho, Jinha Kim, Minki Kim +1

An independent dominating set of a graph, also known as a maximal independent set, is a set of pairwise non-adjacent vertices such that every vertex not in is adjacent to s…

math.CO2022★ 1 cited

Prime vertex-minors of a prime graph

Donggyu Kim, Sang-il Oum

A graph is prime if it does not admit a partition of its vertex set such that and the rank of the submatrix of its adjacency matrix is…

math.CO2022★ 3 cited

No weak epsilon nets for lines and convex sets in space

Otfried Cheong, Xavier Goaoc, Andreas F. Holmsen

We prove that there exist no weak -nets of constant size for lines and convex sets in .

gr-qc2022★ 37 cited

Search for gravitational waves from Scorpius X-1 with a hidden Markov model in O3 LIGO data

The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration +1669

Results are presented for a semi-coherent search for continuous gravitational waves from the low-mass X-ray binary Scorpius X-1, using a hidden Markov model (HMM) to allow for spin…

gr-qc2022★ 103 cited

All-sky search for continuous gravitational waves from isolated neutron stars using Advanced LIGO and Advanced Virgo O3 data

The LIGO Scientific Collaboration, the Virgo Collaboration, the KAGRA Collaboration +1667

We present results of an all-sky search for continuous gravitational waves which can be produced by spinning neutron stars with an asymmetry around their rotation axis, using data…

math.GT2022★ 2 cited

Continuant, Chebyshev polynomials, and Riley polynomials

Kyeonghee Jo, Hyuk Kim

In the previous paper, we showed that the Riley polynomial of each 2-bridge knot is split into , for some integral coeffic…