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Wyszukujesz frazę "resistance distance" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
Nordhaus-Gaddum-Type Results for Resistance Distance-Based Graph Invariants
Autorzy:
Das, Kinkar Ch.
Yang, Yujun
Xu, Kexiang
Powiązania:
https://bibliotekanauki.pl/articles/31340811.pdf
Data publikacji:
2016-08-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
resistance distance
Kirchhoff index
additive degree-Kirchhoff index
multiplicative degree-Kirchhoff index
Nordhaus-Gaddum-type result
Opis:
Two decades ago, resistance distance was introduced to characterize “chemical distance” in (molecular) graphs. In this paper, we consider three resistance distance-based graph invariants, namely, the Kirchhoff index, the additive degree-Kirchhoff index, and the multiplicative degree-Kirchhoff index. Some Nordhaus-Gaddum-type results for these three molecular structure descriptors are obtained. In addition, a relation between these Kirchhoffian indices is established.
Źródło:
Discussiones Mathematicae Graph Theory; 2016, 36, 3; 695-707
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Frames and factorization of graph Laplacians
Autorzy:
Jorgensen, P.
Tian, F.
Powiązania:
https://bibliotekanauki.pl/articles/255936.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
unbounded operators
deficiency-indices
Hilbert space
boundary values
weighted graph
reproducing kernel
Dirichlet form
graph Laplacian
resistance network
harmonic analysis
frame
Parseval frame
Friedrichs extension
reversible random walk
resistance distance
energy Hilbert space
Opis:
Using functions from electrical networks (graphs with resistors assigned to edges), we prove existence (with explicit formulas) of a canonical Parseval frame in the energy Hilbert space [formula] of a prescribed infinite (or finite) network. Outside degenerate cases, our Parseval frame is not an orthonormal basis. We apply our frame to prove a number of explicit results: With our Parseval frame and related closable operators in [formula] we characterize the Priedrichs extension of the [formula]-graph Laplacian. We consider infinite connected network-graphs G = (V, E), V for vertices, and E for edges. To every conductance function c on the edges E of G, there is an associated pair [formula] where [formula] in an energy Hilbert space, and Δ (=Δc) is the c-graph Laplacian; both depending on the choice of conductance function c. When a conductance function is given, there is a current-induced orientation on the set of edges and an associated natural Parseval frame in [formula] consisting of dipoles. Now Δ is a well-defined semibounded Hermitian operator in both of the Hilbert [formula] and [formula]. It is known to automatically be essentially selfadjoint as an [formula]-operator, but generally not as an [formula] operator. Hence as an [formula] operator it has a Friedrichs extension. In this paper we offer two results for the Priedrichs extension: a characterization and a factorization. The latter is via [formula].
Źródło:
Opuscula Mathematica; 2015, 35, 3; 293-332
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Environmental EMC aspects of resistance welding equipment
Autorzy:
Doebbelin, R.
Winkler, T.
Lindemann, A.
Powiązania:
https://bibliotekanauki.pl/articles/262729.pdf
Data publikacji:
2005
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie
Tematy:
resistance welding equipment
high output current
magnetic flux density
minimum distance
Opis:
Resulting from the connection between the change rate of a magnetic field and the induced currents in an exposed human body, pulsating magnetic fields have to be evaluated analysing the waveforms of the field or the field-generating current A corresponding assessment guideline is given in the German safety regulation on "Electromagnetic Fields" BGV Bll. Considering the specific output current waveforms of resistance welding installations, in the paper appropriate procedures to determine the waveform-dependent exposure limits are explained by the examples of an a.c. resistance welding machine and a resistance welding inverter. Based on investigations of the field distribution the occurring actual flux density values are compared to the ascertained exposure limits and a practical method to determine minimum distances ensuring compliance with the given regulations is shown.
Źródło:
Electrical Power Quality and Utilisation. Journal; 2005, 11, 2; 41-48
1896-4672
Pojawia się w:
Electrical Power Quality and Utilisation. Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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