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The Critical Group of a Line Graph [PDF]

open access: yesAnnals of Combinatorics, 2012
The critical group of a graph is a finite abelian group whose order is the number of spanning forests of the graph. This paper provides three basic structural results on the critical group of a line graph. The first deals with connected graphs containing no cut-edge. Here the number of independent cycles in the graph, which is known to bound the number
Andrew Manion   +2 more
exaly   +3 more sources

On the analytic continuation of the critical line [PDF]

open access: yesProceedings of The XXVII International Symposium on Lattice Field Theory — PoS(LAT2009), 2010
We perform a numerical study of the systematic effects involved in the determination of the critical line at real baryon chemical potential by analytic continuation from results obtained at imaginary chemical potentials.
Cea, Paolo   +4 more
core   +4 more sources

Slip line growth as a critical phenomenon

open access: yesPhysical Review Letters, 2008
We study the growth of slip line in a plastically deforming crystal by numerical simulation of a double-ended pile-up model with a dislocation source at one end, and an absorbing wall at the other end.
Fabio Leoni   +3 more
core   +4 more sources

Condensation of LINE-1 is critical for retrotransposition

open access: yeseLife, 2023
LINE-1 (L1) is the only autonomously active retrotransposon in the human genome, and accounts for 17% of the human genome. The L1 mRNA encodes two proteins, ORF1p and ORF2p, both essential for retrotransposition.
Srinjoy Sil   +5 more
doaj   +3 more sources

Critical convective-type equations on a half-line [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
We are interested in the global existence and large-time behavior of solutions to the initial-boundary value problem for critical convective-type dissipative equations ut+ℕ(u,ux)+(an∂xn+am∂xm)u=0, (x,t)∈ℝ+×ℝ+, u(x,0)=u0(x), x∈ℝ+, ∂xj−1u(0,t)=0 for j=1,…
Elena I. Kaikina
doaj   +3 more sources

Critical values lie on a line [PDF]

open access: yesAbstract and Applied Analysis, 2004
We prove that critical values set of a differentiable map lies on a line of certain smoothness class.
Azat Ainouline
doaj   +4 more sources

Field-induced vortex-like textures as a probe of the critical line in reentrant spin glasses [PDF]

open access: goldSci Rep, 2021
Nicolás Bas Martín   +6 more
openalex   +2 more sources

New Line Voltage Stability Index (BVSI) for Voltage Stability Assessment in Power System: The Comparative Studies

open access: yesIEEE Access, 2022
Modern power utilization has been forced to operate close to their stability limits, which may lead to voltage instability or collapse owing to the stressed operating conditions of networks.
Bazilah Ismail   +6 more
doaj   +1 more source

Classifying Potts critical lines [PDF]

open access: yesPhysical Review E, 2017
We use scale invariant scattering theory to exactly determine the lines of renormalization group fixed points invariant under the permutational symmetry $S_q$ in two dimensions, and show how one of these scattering solutions describes the ferromagnetic and square lattice antiferromagnetic critical lines of the $q$-state Potts model.
Delfino, Gesualdo, Tartaglia, Elena
openaire   +4 more sources

Critical Dynamics of Contact Line Depinning [PDF]

open access: yesMRS Proceedings, 1994
ABSTRACTThe depinning of a contact line is studied as a dynamical critical phenomenon by a functional renormalization group technique. In D = 2 - ∈ “line” dimensions, the roughness exponent is ζ = ∈/3 to all orders in perturbation theory. Thus, ζ = 1/3 for the contact line, equal to the Imry-Ma estimate for equilibrium roughness. The dynamical exponent
Ertas, Deniz, Kardar, Mehran
openaire   +3 more sources

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