On digraphs with polygonal restricted numerical range

@article{Cameron2022OnDW,
  title={On digraphs with polygonal restricted numerical range},
  author={Thomas R. Cameron and H. Tracy Hall and Ben Small and Alexander Wiedemann},
  journal={Linear Algebra and its Applications},
  year={2022}
}
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References

SHOWING 1-10 OF 19 REFERENCES
On the restricted numerical range of the Laplacian matrix for digraphs
ABSTRACT In this article, we present the restricted numerical for the Laplacian matrix of a directed graph (digraph). We motivate our interest in the restricted numerical range by its close…
Algebraic connectivity of directed graphs
  • C. Wu
  • Mathematics, Computer Science
  • 2005
TLDR
It is shown that several properties of Fiedler's definition remain valid for directed graphs and present properties peculiar to directed graphs, and inequalities relating the algebraic connectivity to quantities such as the bisection width, maximum directed cut and the isoperimetric number are proved.
Laplacian Dynamics on General Graphs
TLDR
An unexpected equivalence between deterministic Laplacian dynamics and the master equations of continuous-time Markov processes is revealed, which allows rigorous treatment within the framework of stochastic, single-molecule mechanisms.
Matrix analysis
TLDR
This new edition of the acclaimed text presents results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrates their importance in a variety of applications.
On the numerical range of a matrix
This is an English translation of the article “Uber den Wertevorrat einer Matrix” by Rudolf Kippenhahn, Mathematische Nachrichten 6 (1951), 193–228. This article is often cited by mathematicians who…
On the numerical range of a matrix
This is an English translation of the article “Über den Wertevorrat einer Matrix” by Rudolf Kippenhahn, Mathematische Nachrichten 6 (1951), 193–228. This article is often cited by mathematicians who…
Normality and the numerical range
Generalized algebraic connectivity for asymmetric networks
TLDR
The notion of generalized algebraic connectivity is introduced for this type of network as an extension of conventionalgebraic connectivity measure for symmetric networks as a new notion represents the expected asymptotic convergence rate of a cooperative algorithm used to control the network.
Normal matrices
Let A be a square complex matrix and z a complex number. The distance, with respect to the spectral norm, from A to the set of matrices which have z as an eigenvalue is less than or equal to the…
Practical graph isomorphism, II
...
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