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Unifying some known infinite families of combinatorial 3-designs
2011
Journal of combinatorial theory. Series A
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Those resolvable designs can again be used to obtain more infinite families of simple 3-designs through the basic construction. ...
Moreover many infinite families of simple resolvable 3-designs are presented in comparison with some known families. ...
(iv) As far as the authors know, the family of Theorem 5.4(i) is the first and only known infinite family of resolvable Steiner t-designs with t 3 and block size bigger than 4. ...
doi:10.1016/j.jcta.2010.10.007
fatcat:x6met46akrdo3drftaic3nxmne
Page 4620 of Mathematical Reviews Vol. , Issue 2000g
[page]
2000
Mathematical Reviews
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k = 4.”
2000g:05026 05B05
Webb, Bridget S. (4-OPEN-PM; Milton Keynes)
Infinite designs with more point orbits than block orbits. ...
Summary: “Block’s lemma states that every automorphism group of a finite 2-(v,k, 4) design acts with at least as many block orbits as point orbits: this is not the case for infinite designs. ...
Infinite linear spaces
1994
Discrete Mathematics
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The only possibility of failure is if, at some stage, t points are already incident with more than I blocks (or dually -it is enough to consider this case). ...
So let (X,&J) be such a system, with any block incident with k points and any t points incident with a unique block. ...
doi:10.1016/0012-365x(92)00503-j
fatcat:o4pmvw6czffqhhsayiu7wddq34
Block transitive Steiner systems with more than one point orbit
2004
Journal of combinatorial designs (Print)
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In particular, there is a 2-(ℵ 0 , 4, 1) design with a block-transitive group of automorphisms having two point orbits. This answers a question of P. J. Cameron and C. E. Praeger. ...
For all 'reasonable' finite t, k and s we construct a t-(ℵ 0 , k, 1) design and a group of automorphisms which is transitive on blocks and has s orbits on points. ...
Thus, the smallest case where we might have s > 1 is a 2-(∞, 4, 1) design and G block transitive with 2 point orbits. In this case, each block contains exactly 2 points from each orbit. ...
doi:10.1002/jcd.20018
fatcat:smtf5tzoxnextmykdtbjlw3xfu
Sporadic neighbour-transitive codes in Johnson graphs
2013
Designs, Codes and Cryptography
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We construct an additional five neighbour-transitive codes with minimum distance two admitting such a group. All 27 codes are t-designs with t at least two. ...
Johnson graphs J(v, k) of minimum distance at least three which admit a neighbour-transitive group of automorphisms that is an almost simple two-transitive group of degree v and does not occur in an infinite ...
All other intransitive maximal subgroups have either more than 2 orbits or are not transitive on γ × γ, so do not give rise to any more examples. ...
doi:10.1007/s10623-013-9853-0
fatcat:rvji5owmobdijkqtso7f5sahv4
A study on global stabilization of periodic orbits in discrete-time chaotic systems by using symbolic dynamics
2015
Kybernetika (Praha)
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We find that a state x ∈ X is a T -periodic point if and only if the sequence ρ ∈ Σ corresponding to x consists of infinitely repeated T -length blocks of symbols. ...
Periodic orbits and the stability ρ = Ψ(x) = · · · s 1 s 2 · · · s T T -length block s 1 s 2 · · · s T T -length block · · · , which means that all periodic orbits in the invariant set can be specified ...
doi:10.14736/kyb-2015-1-0004
fatcat:ghul63xggfgqrcjfo45pulzva4
Page 5306 of Mathematical Reviews Vol. , Issue 2000h
[page]
2000
Mathematical Reviews
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They call a design with more than one short block “singular”. They prove that a singular abelian 1-rotational Steiner design with block size k requires that the number of points be k? ...
A |-rotational design is a balanced incomplete block design with a group G acting regularly on v — 1 points. ...
Searching for line transitive, point imprimitive, linear spaces
[article]
2006
arXiv
pre-print
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A finite linear space is a finite set of points and lines, where any two points lie on a unique line. Well known examples include projective planes. ...
Point imprimitive spaces admit a second structure on the points aside from the lines, which is also preserved by an automorphism group. ...
In both cases the search returned a negative result, indicating that no G-point imprimitive and G-line transitive designs exist conforming to either parameter set. ...
arXiv:math/0604532v1
fatcat:uurx6qrgtvd5bpqylr3cyy3g3y
Ab initio downfolding based on the GW approximation for infinite-layer nickelates
[article]
2022
arXiv
pre-print
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As a result, the correlation effect becomes more significant than that in the model constructed by the LDA-based downfolding. ...
We derive an effective three-orbital model for the infinite-layer nickelates based on the band structure obtained by the GW approximation (GWA), where we consider the Ni 3d_x^2-y^2 and O 2p orbitals forming ...
We note that there is a proposal that the electron pocket at the A point can be eliminated by designing a different type of the block layer [33] . ...
arXiv:2202.03661v1
fatcat:3eszzexa6retjetqknb75onnyu
Delandtsheer–Doyen parameters for block-transitive point-imprimitive 2-designs
[article]
2020
arXiv
pre-print
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Delandtsheer and Doyen bounded, in terms of the block size, the number of points of a point-imprimitive, block-transitive 2-design. ...
To do this they introduced two integer parameters, m and n, now called Delandtsheer--Doyen parameters, linking the block size with the parameters of an associated imprimitivity system on points. ...
invariant any non-trivial partition of the point set (a partition with more than one class and class size at least 2). ...
arXiv:2009.00282v1
fatcat:fdq5s6x32jfvhbfaoedhd7pxnm
Global stabilization of periodic orbits in chaotic systems by using symbolic dynamics
2008
IFAC Proceedings Volumes
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This work is the first attempt to systematically design a control system based on symbolic dynamics in the sense that one estimates the magnitude of control inputs and analyzes the Lyapunov stability. ...
A periodic orbit is assigned as a target by giving a sequence in which symbols have periodicity. ...
A state x ∈ X is a T -periodic point if and only if the sequence ρ ∈ Σ corresponding to x consists of infinitely repeated T -length blocks of symbols. ρ =Ψ(x)=··· s 1 s 2 ···s T From this proposition, ...
doi:10.3182/20080706-5-kr-1001.02559
fatcat:ylpnsruutzaohpdshh7mhy3ecm
Ab initio Materials Design of Superconductivity in d^9 Nickelates
[article]
2022
arXiv
pre-print
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Motivated by the recent theoretical materials design of superconducting d^9 nickelates for which the charge transfer from the NiO_2 to the block layer is completely suppressed [M. ...
B 101, 075107 (2020)], we perform a calculation based on the dynamical vertex approximation and obtain the phase diagram of RbCa_2NiO_3 and A_2NiO_2Br_2 where A is a cation with a valence of 2.5+. ...
ACKNOWLEDGMENTS We are grateful for fruitful discussions with Karsten Held, Liang Si, Paul Worm, Terumasa Tadano, Takuya Nomoto, and Kazuma Nakamura. ...
arXiv:2205.00239v1
fatcat:5hdqexhmnfhe7cwgjsxccyxw2e
Mini-bandstructure tailoring in π-conjugated periodic block copolymers using the envelope crystalline-orbital method
2010
International Journal of Quantum Chemistry
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2010 pre-print arXiv:1004.0178v1 fatcat:kjlqc755nvccboqohmecs7wmpu
A strategy for the systematic design of polymeric superlattices with tailor-made mini-bandgaps and carrier mini-effective masses is described and computationally implemented by means of an envelope crystalline-orbital ...
from the lengths of the blocks. ...
Summary, Conclusions and Perspectives With the aid of the envelope molecular-orbital theory, molecular organic quantum-dot superlattices with the general structure (PDA x -PPP y ) n were designed specifically ...
doi:10.1002/qua.22715
fatcat:ibj75jdsinbfthlt6bqc7l26nq
Even-freeness of cyclic 2-designs
[article]
2012
arXiv
pre-print
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We prove the existence of infinitely many nontrivial Steiner 2-designs of large block size which have the cyclic automorphisms and higher even-freeness than the trivial lower bound but are not the points ...
A Steiner 2-design of block size k is an ordered pair (V, B) of finite sets such that B is a family of k-subsets of V in which each pair of elements of V appears exactly once. ...
Because no pair of points appear more than once in a Steiner 2-design, it is straightforward to see that every S(2, k, v) is k-even-free. ...
arXiv:1210.7516v1
fatcat:otp3xpspdfb3dg3cf6ilso53fq
Orbits on points and lines in finite linear and quasilinear spaces
1987
Journal of combinatorial theory. Series A
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., we prove that there exists a finite linear space whose automorphism group has exactly rr orbits on points and i. orbits on lines if and only if rr;;; i.. < 19~7 Arndcmic Press. Inc. ...
closed disc in the Euclidean plane and let S be the linear space whose points are the points of D and whose lines are the intersections of D with the lines of the plane having more than one point in common ...
If S is finite, a classical result of Block [ 1 ] asserts that n r ~ ). r· This is no longer true if S is infinite, as shown by the following example due to Valctte (see Buekenhout [3] ): let D be a ...
doi:10.1016/0097-3165(87)90069-0
fatcat:volocgki2jfm5hn2zwvzzctbrm
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