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The Critical Group of a Line Graph [PDF]
Annals 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
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Condensation of LINE-1 is critical for retrotransposition
eLife, 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
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Critical convective-type equations on a half-line [PDF]
International 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
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Critical values lie on a line [PDF]
Abstract and Applied Analysis, 2004 We prove that critical values set of a differentiable map lies on a line of certain smoothness class.
Azat Ainouline
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IEEE 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
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Classifying Potts critical lines [PDF]
Physical 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
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Critical Dynamics of Contact Line Depinning [PDF]
MRS 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
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Hellenic Journal of Cardiology, 2021 Objectives: To investigate the baseline risk of patients treated with Extracorporeal Cardiopulmonary Membrane Oxygenation (ECMO) in relation to cannulation strategy and indication for ECMO as well as the relation of cannulation strategy with survival and
Marinos Kosmopoulos +12 more
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A Note on the Critical Group of a Line Graph [PDF]
The Electronic Journal of Combinatorics, 2011 This note answers a question posed by Levine. The main result shows that under certain circumstances a critical group of a directed graph is the quotient of a critical group of its directed line graph.
David Perkinson +2 more
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Strategies for the Management of Spike Protein-Related Pathology
Microorganisms, 2023 In the wake of the COVID-19 crisis, a need has arisen to prevent and treat two related conditions, COVID-19 vaccine injury and long COVID-19, both of which can trace at least part of their aetiology to the spike protein, which can cause harm through ...
Matthew T. J. Halma +3 more
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