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Graph theory and molecular orbitals. The loop rule
Chemical Physics Letters, 1973Abstract Graph theory is applied to the study of the dependence of total π-electron energy, π-electron charge distribution and free valency indices of conjugated hydrocarbons on molecular topology. It is shown that the number of loops in the molecular graph determines these quantities.
I. Gutman, N. Trinajstić
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A Graph Theory Approach to Demographic Loop Analysis
Ecology, 1998A demographic analysis of the life-cycle graph can be used to quantify the separate contributions of different life-history types to the population growth rate. Loop analysis has been proposed (van Groenendael et al. 1994) as the appropriate method for partitioning the elasticity matrix to determine these contributions.
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2005 IEEE/PES Transmission & Distribution Conference & Exposition: Asia and Pacific, 2005
In this paper, a novel elimination circulating flow method is suggested, an alternative reactive power pricing method in systems with circulating flow has been proposed, and a comparison between "bus-mixed average method" and "loop-breaking method" is ...
null Yue Zhao +2 more
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In this paper, a novel elimination circulating flow method is suggested, an alternative reactive power pricing method in systems with circulating flow has been proposed, and a comparison between "bus-mixed average method" and "loop-breaking method" is ...
null Yue Zhao +2 more
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On elementary theories of graphs and Abelian loops
Mathematical Notes of the Academy of Sciences of the USSR, 1974The algorithmic decidability of elementary theories of certain classes of graphs, such as homogeneous, planar, bipartite planar, and critical nonplanar, is discussed. For the first three classes we prove the undecidability of elementary theories, and for the last, decidability with a supplementary predicate.
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A Hydraulic Modeling of Loop Pipeline Network with Multiple Heat Sources Based on Graph Theory
Advanced Materials Research, 2011Removed at authors request due to error in the methodology.
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Metrologia, 2016
A simple method is proposed for the evaluation of comparative measurements when closed measurement loops are present in the data. Using a graph theory representation of the data a basis for the residual subspace is readily identified that together with loop closure values provide the input to a matrix equation of the same rank as the number of ...
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A simple method is proposed for the evaluation of comparative measurements when closed measurement loops are present in the data. Using a graph theory representation of the data a basis for the residual subspace is readily identified that together with loop closure values provide the input to a matrix equation of the same rank as the number of ...
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Stability theory for the NLS equation on looping edge graphs
Mathematische ZeitschriftzbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2008 IEEE Region 8 International Conference on Computational Technologies in Electrical and Electronics Engineering, 2008
This manuscript will provide a step by step method on how a graph theory and topology can be utilized to construct a Z-loop matrix for the study of faulted power systems. The growing demand for reliable electrical power supply has forced the pace developments in electrical power system analysis using computer.
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This manuscript will provide a step by step method on how a graph theory and topology can be utilized to construct a Z-loop matrix for the study of faulted power systems. The growing demand for reliable electrical power supply has forced the pace developments in electrical power system analysis using computer.
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