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 21 articles , 2 standard articles )

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  1. Mansour, Toufik; Schork, Matthias: On the differential equation of first and second order in the Zeon algebra (2021)
  2. Neto, Antônio Francisco: Matrix analysis and omega calculus (2020)
  3. Staples, George Stacey: Clifford algebras and zeons. Geometry to combinatorics and beyond (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. Haake, Erin; Staples, G. Stacey: Zeros of zeon polynomials and the zeon quadratic formula (2019)
  7. Lindell, Theresa; Staples, G. Stacey: Norm inequalities in zeon algebras (2019)
  8. Neto, Antônio Francisco: Generating functions of weighted voting games, MacMahon’s partition analysis, and Clifford algebras (2019)
  9. Staples, G. Stacey: Differential calculus of zeon functions (2019)
  10. Staples, G. Stacey; Weygandt, Alexander: Elementary functions and factorizations of zeons (2018)
  11. Dollar, Lisa M.; Staples, G. Stacey: Zeon roots (2017)
  12. Hansen, Helle Hvid; Kupke, Clemens; Rutten, Jan: Stream differential equations: specification formats and solution methods (2017)
  13. Neto, Antônio Francisco: The dual of Spivey’s Bell number identity from Zeon algebra (2017)
  14. Schott, René; Staples, G. Stacey: Generalized zeon algebras: theory and application to multi-constrained path problems (2017)
  15. Staples, G. Stacey: Hamiltonian cycle enumeration via fermion-zeon convolution (2017)
  16. Staples, G. Stacey; Stellhorn, Tiffany: Zeons, orthozeons, and graph colorings (2017)
  17. Woracek, Harald: Directing functionals and de Branges space completions in almost Pontryagin spaces (2017)
  18. Ciancia, Vincenzo; Latella, Diego; Loreti, Michele; Massink, Mieke: Model checking spatial logics for closure spaces (2016)
  19. Neto, Antônio Francisco: A note on a theorem of Schumacher (2016)
  20. Staples, G. Stacey: Kravchuk matrices and induced operators on Clifford algebras (2016)

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