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Laplacian Dynamics on General Graphs

Bulletin of Mathematical Biology, 2013
In previous work, we have introduced a "linear framework" for time-scale separation in biochemical systems, which is based on a labelled, directed graph, G, and an associated linear differential equation, dx/dt = L(G) ∙ x, where L(G) is the Laplacian matrix of G. Biochemical nonlinearity is encoded in the graph labels. Many central results in molecular
Mirzaev, Inomzhon, Gunawardena, Jeremy
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Intrinsic Graph Structure Estimation Using Graph Laplacian

Neural Computation, 2014
A graph is a mathematical representation of a set of variables where some pairs of the variables are connected by edges. Common examples of graphs are railroads, the Internet, and neural networks. It is both theoretically and practically important to estimate the intensity of direct connections between variables. In this study, a problem of estimating
Noda, Atsushi   +4 more
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Laplacian Controllability for Graphs with Integral Laplacian Spectrum

Mediterranean Journal of Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Laplacian borderenergetic graphs

Journal of Information and Optimization Sciences, 2019
The graph G of order n is said to be Laplacian (signless Laplacian) borderenergetic if its Laplacian (signless Laplacian) energy equals the Laplacian (signless Laplacian) energy of the complete gra...
Mardjan Hakimi-Nezhaad   +1 more
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Graphs and Laplacians

2017
In this chapter, we are interested in exploring questions such as the following. If a group G acts on a graph \(\Gamma \), what is the relationship between the spectrum of \(\Gamma \) and the spectrum of the quotient \(\Gamma /G\)?
W. David Joyner, Caroline Grant Melles
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