Large monochromatic components in 3‐edge‐colored Steiner triple systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Combinatorial Designs"
DOI: 10.1002/jcd.21707
Abstract: It is known that in any r‐coloring of the edges of a complete r‐uniform hypergraph, there exists a spanning monochromatic component. Given a Steiner triple system on n vertices, what is the largest monochromatic component… read more here.
Keywords: lower bound; coloring edges; triple systems; steiner triple ... See more keywords
Classification of simple linearly compact Kantor triple systems over the complex numbers
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DOI: 10.1016/j.jalgebra.2018.08.009
Abstract: Abstract Simple finite-dimensional Kantor triple systems over the complex numbers are classified in terms of Satake diagrams. We prove that every simple and linearly compact Kantor triple system has finite dimension and give an explicit… read more here.
Keywords: triple systems; simple linearly; kantor; kantor triple ... See more keywords
On tortkara triple systems
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DOI: 10.1080/00927872.2017.1384003
Abstract: ABSTRACT The commutator [a,b] = ab−ba in a free Zinbiel algebra (dual Leibniz algebra) is an anticommutative operation which satisfies no new relations in arity 3. Dzhumadildaev discovered a relation T(a,b,c,d) which he called the… read more here.
Keywords: algebra; triple systems; zinbiel; arity ... See more keywords
Graded systems of quotients and Martindale-like quotients of graded Lie triple systems
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DOI: 10.1080/00927872.2022.2147534
Abstract: Abstract The paper is devoted to introducing graded systems of quotients of graded Lie triple systems, graded weak systems of quotients of graded Lie triple systems and graded systems of Martindale-like quotients of graded Lie… read more here.
Keywords: triple systems; quotients graded; graded systems; lie triple ... See more keywords
Dynamics of quadruple systems composed of two binaries: stars, white dwarfs, and implications for Ia supernovae
Sign Up to like & getrecommendations! Published in 2018 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/sty472
Abstract: [Abridged]We investigate the long-term secular dynamics and Lidov-Kozai(LK) eccentricity oscillations of quadruple systems composed of two binaries at quadrupole and octupole order in the perturbing Hamiltonian. We show that the fraction of systems reaching high… read more here.
Keywords: quadruple systems; triple systems; two binaries; systems composed ... See more keywords
Triage of astrometric binaries – how to find triple systems and dormant black hole secondaries in the Gaia orbits
Sign Up to like & getrecommendations! Published in 2019 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/stz1636
Abstract: Preparing for the expected wealth of Gaia detections, we consider here a simple algorithm for classifying unresolved astrometric binaries with main-sequence (MS) primary into three classes: binaries with a probable MS secondary, with two possible… read more here.
Keywords: astrometric binaries; mass ratio; triple systems; black hole ... See more keywords
Gravitational waves from hierarchical triple systems with Kozai-Lidov oscillation
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review D"
DOI: 10.1103/physrevd.101.104053
Abstract: We study gravitational waves from a hierarchical three-body system up to first-order post-Newtonian approximation. Under certain conditions, the existence of a nearby third body can cause periodic exchange between eccentricity of an inner binary and… read more here.
Keywords: systems kozai; gravitational waves; kozai lidov; hierarchical triple ... See more keywords
Orbital flips in hierarchical triple systems: Relativistic effects and third-body effects to hexadecapole order
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review D"
DOI: 10.1103/physrevd.96.023017
Abstract: We analyze the secular evolution of hierarchical triple systems in the post-Newtonian approximation to general relativity. We expand the Newtonian three-body equations of motion in powers of the ratio a/A, where a and A are… read more here.
Keywords: order; triple systems; hexadecapole order; orbital flips ... See more keywords
Steiner Triple Systems of Order 21 with a Transversal Subdesign TD(3, 6)
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DOI: 10.1134/s0032946020010032
Abstract: A Steiner triple system (STS) contains a transversal subdesign TD(3, w ) if its point set has three pairwise disjoint subsets A, B, C of size w and w 2 blocks of the STS intersect… read more here.
Keywords: systems order; steiner triple; triple systems; transversal subdesign ... See more keywords
On split Lie color triple systems
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DOI: 10.1515/math-2019-0023
Abstract: Abstract In order to begin an approach to the structure of arbitrary Lie color triple systems, (with no restrictions neither on the dimension nor on the base field), we introduce the class of split Lie… read more here.
Keywords: split lie; color triple; lie color; triple systems ... See more keywords