Operator calculus on graphs. Theory and applications in computer science This pioneering book presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer science. Presented in this book are new methods, built on the algebraic framework of Clifford algebras, for tackling important real world problems related, but not limited to, wireless communications, neural networks, electrical circuits, transportation, and the world wide web. Examples are put forward in Mathematica throughout the book, together with packages for performing symbolic computations.

References in zbMATH (referenced in 20 articles , 1 standard article )

Showing results 1 to 20 of 20.
Sorted by year (citations)

  1. Stacey Staples, G.: Spectrally simple zeros of zeon polynomials (2021)
  2. Staples, G. Stacey: Zeon matrix inverses and the zeon combinatorial Laplacian (2021)
  3. Neto, Antônio Francisco: Matrix analysis and omega calculus (2020)
  4. Davis, Amanda; Staples, G. Stacey: Zeon and idem-Clifford formulations of Boolean satisfiability (2019)
  5. Francisco Neto, Antônio; Fonseca, Carolina Rodrigues: An approach via generating functions to compute power indices of multiple weighted voting games with incompatible players (2019)
  6. Neto, Antônio Francisco: Generating functions of weighted voting games, MacMahon’s partition analysis, and Clifford algebras (2019)
  7. Hansen, Helle Hvid; Kupke, Clemens; Rutten, Jan: Stream differential equations: specification formats and solution methods (2017)
  8. Schott, René; Staples, G. Stacey: Generalized zeon algebras: theory and application to multi-constrained path problems (2017)
  9. Staples, G. Stacey; Stellhorn, Tiffany: Zeons, orthozeons, and graph colorings (2017)
  10. Woracek, Harald: Directing functionals and de Branges space completions in almost Pontryagin spaces (2017)
  11. Ciancia, Vincenzo; Latella, Diego; Loreti, Michele; Massink, Mieke: Model checking spatial logics for closure spaces (2016)
  12. Neto, Antônio Francisco: A note on a theorem of Schumacher (2016)
  13. Staples, G. Stacey: Kravchuk matrices and induced operators on Clifford algebras (2016)
  14. Staples, G. Stacey: Kravchuk polynomials and induced/reduced operators on Clifford algebras (2015)
  15. Schott, René; Staples, G. Stacey: Operator calculus and invertible Clifford Appell systems: theory and application on the (n)-particle fermion algebra (2013)
  16. Schott, René; Staples, G. Stacey: Operator calculus on graphs. Theory and applications in computer science (2012)
  17. Schott, René; Staples, G. Stacey: Operator homology and cohomology in Clifford algebras (2010)
  18. Gürlebeck, Norman: On Appell sets and the Fueter-Sce mapping (2009)
  19. Schott, R.; Staples, G. S.: Random walks in Clifford algebras of arbitrary signature as walks on directed hypercubes (2008)
  20. Schott, René; Staples, G. Stacey: Operator calculus and Appell systems on Clifford algebras (2006)