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Efficient Attribute (α,β)-Core Detection in Large Bipartite Graphs (Student Abstract)

2022
*
PROCEEDINGS OF THE THIRTIETH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE AND THE TWENTY-EIGHTH INNOVATIVE APPLICATIONS OF ARTIFICIAL INTELLIGENCE CONFERENCE
*

*In*this paper, we propose a novel problem, named rational (alpha, beta)-core detection

*in*attribute bipartite

*graphs*(RCD-ABG), which retrieves the connected (alpha, beta)-core with the largest rational ... After removing this vertex, we obtain the (

*α*,

*β*)-core

*in*the remaining

*graph*, and we store all the connected (

*α*,

*β*)-core into G, separately. We continue this process until G = ∅. ... Given a bipartite

*graph*G, a subgraph S is the (

*α*,

*β*)-core of G, denoted by C

*α*,

*β*, if it satisfies: 1) degree constraint, i.e., d S (u) ≥

*α*for each vertex u ∈ U S and d S (v) ≥

*β*for each vertex v ∈ ...

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Search for independent (β/α)4 subdomains in a (β/α)8 barrel β-glucosidase

2018
*
PLoS ONE
*

*In*conclusion, bglTm halves are equivalent

*in*terms of their thermal and chemical stability; thus, their separate contributions to (

*β*/

*α*) 8 barrel unfolding cannot be disentangled. ... Hence, within (

*β*/

*α*) 8 barrels, half-barrels are self-contained units. ...

*In*fact, the assembly of (

*β*/

*α*) 8 barrels from (

*β*/

*α*) 4 units applies to any barrel, not only the symmetrical barrels. ...

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New (α,β) Spanners and Hopsets
[article]

2020
*
arXiv
*
pre-print

This

arXiv:1907.11402v2
fatcat:3eofx2y2qzagpmfye6rgqbguve
*in*particular gives (*α*,*β*) spanners with*α*=O(√(k)) and*β*=O(k). 2. For any ϵ∈ (0,1/2], there exists an (*α*,*β*)-spanner with*α*=O(k^ϵ),*β*=O_ϵ(k) and of expected size O_k(n^1+1/k). ... We present a new family of (*α*,*β*) hopsets with O(k · n^1+1/k) edges and α·β=O(k). ... The most critical question is whether any (*α*,*β*) hopset with O(n 1+1/k ) edges must satisfy that*α*·*β*= Ω(k). Preliminaries*Graph*Notations and Definitions. ...##
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(β ,α)−Connectivity Index of Graphs

2017
*
Applied Mathematics and Nonlinear Sciences
*

Let E

doi:10.21042/amns.2017.1.00003
fatcat:tun3z2jzinckhlqi35vy33vxve
*β*(G) be the set of paths of length*β**in*a*graph*G. ... For an integer*β*≥ 1 and a real number*α*, the (*β*,*α*)-connectivity index is defined as $$\begin{array}{} \displaystyle ^\beta\chi_\alpha(G)=\sum \limits_{v_1v_2 \cdot \cdot \cdot v_{\beta+1}\*in*E_\beta(G ... For an integer*β*≥ 1 and a real number*α*, the (*β*,*α*)-connectivity index [14] is defined as*β*χ*α*(G) = ∑ v 1 v 2 ···v*β*+1 ∈E*β*(G) (d G (v 1 )d G (v 2 )...d G (v*β*+1 ))*α*. (1) The higher connectivity ...##
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Über α- und β-Cholestylbromid

α-及β-Cholestylbromidに就て

1938
*
Yakugaku zasshi
*

α-及β-Cholestylbromidに就て

恐 ら くChroxnato-

doi:10.1248/yakushi1881.58.7_598
fatcat:jyqwgqgghzcv5d3b2exugxnwea
*graph*法 に よ り*β*一Cholestylbromidの 一 部 分 がa-Cholestylbromidに 縛 位**し 爽 雜 せ る もの な るべ し. ... 總Br定 量 物 質0.0465gN/20AgNO3 (1.g F 02846 )1.525cc ∴ Br 13.99%*β*-Br定 量(Na-butylat 5cc (Glg Na*in*5cc Butanol)と1時 聞 煮 沸)物 質 0.0518gN/ 20Ag NO3 (log F 02846)1.690ee ∴ Br13.93%C27H47 Brと して17.71% 純*β*.Cholestyibromid ...##
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Self-intersection local time of (α,d,β)(α,d,β)-superprocess☆

2007
*
Annales de l'I.H.P. Probabilites et statistiques
*

The existence of self-intersection local time (SILT), when the time diagonal is intersected, of the (

doi:10.1016/j.anihpb.2006.07.005
fatcat:4e6am6mu5vblbb32riyfawzmsm
*α*,d,*β*)-superprocess is proved for d/2<*α*and for a renormalized SILT when d/(2+(1+*β*)^-1)<*α*≤ d/2. ... Using binary directed*graphs*, Dynkin*in*[6] gives a formula for the moments of supeprocesses, where the Laplace functional (3.2) has an evolution equation (3. 3) with only one term m = 2*in*(3.4) ... The moment*in*(3.10) is infinity when K = +∞, because the (*α*, d,*β*)-superprocess has moments of order less than 1 +*β*and p > 1 +*β*. ...##
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Additive spanners and (α, β)-spanners

2010
*
ACM Transactions on Algorithms
*

An (

doi:10.1145/1868237.1868242
fatcat:lpui4f4qhjha7kf5ky4ztbtwvy
*α*,*β*)-spanner of an unweighted*graph*G is a subgraph H that distorts distances*in*G up to a multiplicative factor of*α*and an additive term*β*. ... Our second result addresses the problem of which (*α*,*β*)-spanners can be computed efficiently, ideally*in*linear time. ... Introduction An (*α*,*β*)-spanner of an undirected*graph*G is a subgraph H such that for all vertices u, v: δ H (u, v) ≤*α*· δ G (u, v) +*β*where δ G is the distance*in**graph*G. ...##
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Ueber α- und β-Methylnaphtalin

1884
*
Berichte der deutschen chemischen Gesellschaft
*

D e r allgemeine Gang dieser Reaktion, sowie dessen

doi:10.1002/cber.188401701226
fatcat:rlymixqgkrfqlb3tfjc3k5hbry
*graph*ische Darstellung bei verschiedenen Temperaturen sind vollkommen analog der Rildung zusammengesetzter Aether aus einem Alkohol und eiiier SLure ... N -M e t h y l n a p h t a1*in*. ...##
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Correlation duality relations for the (N_α, N_β) model
[article]

1997
*
arXiv
*
pre-print

Duality relations for the correlation functions of n sites on the boundary of a planar lattice are derived for the (N_

arXiv:cond-mat/9712111v2
fatcat:rbzt6zzx4jch7cpjukqsqv7pc4
*α*, N_*β*) model of Domany and Riedel for n=2,3. ... The (N*α*, N*β*) model becomes the Ashkin-Teller model [10] when N*α*= N*β*= 2. ... THE (N*α*, N*β*) MODEL The (N*α*, N*β*) model q ≡ N*α*, q ′ ≡ N*β*. (1) The model is most conveniently visualized as being represented by placing two Potts spins at each site. ...##
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Distance-regular graphs and (α, β)-geometries

2005
*
Journal of Geometry
*

We study the relation between distance-regular

doi:10.1007/s00022-005-1766-2
fatcat:th3htshmsrhsfac3tahrt57n6u
*graphs*and (*α*,*β*)geometries*in*two different ways. ... We give necessary and sufficient conditions for the neighbourhood geometry of a distance-regular*graph*to be an (*α*,*β*)geometry, and describe some (classes of) examples. ... }; then*α*= 0,*β*= c 3 . • {k, k − 2, k − 1 − a 2 ; 1, 1, k}; then*α*= a 2 + 1,*β*= k. • {k, k − 2, k − c 3 ; 1, 1, c 3 }; then*α*= c 3 ,*β*= k. ...##
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About recognizing (α, β) classes of polar

1986
*
Discrete Mathematics
*

Let G be a

doi:10.1016/0012-365x(86)90113-5
fatcat:gavg6cgcdbetvh5kfixo3ehdcu
*graph*with a vertex set VG. ...*In*this paper it is proved that the decision problem of membership*in*(% fl), where fl is fixed and fl > 1, is NP-complete. ... The approach similar to one presented*in*[4, p. 116-117] can be used to prove that this problem is NP-easy. ...##
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α-β Intramolecular Transformation of Myosin

1935
*
Nature
*

, the

doi:10.1038/135095a0
fatcat:xyekmk4obbdh3c4z2qjzrv2r24
*graph*disappearing again on contraction provided the film has not been kept stretched*in*the dry state ; (6) when myosin films are made by squeezing the re-moistened protein between glass plates, ...*In*other words, are we to conclude that the hair protein is roughly speaking no other than 'vulcanised' muscle protein ? ...##
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On the Algebraic Attributes of (α, β)-Pythagorean Fuzzy Subrings and (α, β)-Pythagorean Fuzzy Ideals of Rings

2022
*
IEEE Access
*

*In*this article, we have introduced the notions of (

*α*,

*β*)-Pythagorean fuzzy subring and (

*α*,

*β*)-Pythagorean fuzzy ideal of a ring. Further, we have briefly described various results related to it. ... INDEX TERMS (

*α*,

*β*)-PFS, (

*α*,

*β*)-PFSR, (

*α*,

*β*)-PFID, (

*α*,

*β*)-PFLSR. ... [6]

*in*(

*α*,

*β*)-Pythagorean fuzzy subgroup. ...

##
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Loss of CDC50A function drives Aβ/p3 production via increased β/α-secretase processing of APP
[article]

2020
*
bioRxiv
*
pre-print

Here we report that

doi:10.1101/2020.11.12.379636
fatcat:roocgiuzxfhszhunfboje65pji
*in*cells*in*which the P4-ATPase flippase subunit CDC50A has been knocked out, large increases*in*the products of*β*- and*α*-secretase cleavage of APP (sAPP*β*/*β*CTF and sAPP*α*/*α*CTF, respectively ... Sequential cleavage of APP by*β*- and γ-secretases results*in*A*β*, while cleavage by*α*- and γ-secretases produces the smaller p3 peptide. ... Here we report that*in*cells*in*which the P4-ATPase flippase subunit CDC50A has been knocked out, large increases*in*the products of*β*-and*α*-secretase cleavage of APP (sAPP*β*/*β*CTF and sAPP*α*/*α*CTF, respectively ...##
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Small stretch (α,β)-spanners in the streaming model

2009
*
Theoretical Computer Science
*

An (

doi:10.1016/j.tcs.2008.04.022
fatcat:fcbpjvxzajet7h64fevb7viwmu
*α*,*β*)-spanner of a*graph*G is a subgraph S ⊆ G such that for each pair of vertices the distance*in*S is at most*α*times the distance*in*G plus*β*. ... We present algorithms for computing small stretch (*α*,*β*)-spanners*in*the streaming model. ... More formally, given*α*≥ 1 and*β*≥ 0, an (*α*,*β*)-spanner of a*graph*G is a subgraph S of G such that for each pair of vertices the distance*in*S is at most*α*times the distance*in*G plus*β*. ...
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