Zobrazeno 1 - 10
of 288
pro vyhledávání: '"Staples, G."'
Autor:
Staples, G. Stacey
In this paper, a spectral theorem for matrices with (complex) zeon entries is established. In particular, it is shown that when $A$ is an $m\times m$ self-adjoint matrix whose characteristic polynomial $\chi_A(u)$ "splits" over the zeon algebra ${\ma
Externí odkaz:
http://arxiv.org/abs/2201.09321
Autor:
Ewing, Samuel, Staples, G. Stacey
Zeon algebras have proven to be useful for enumerating structures in graphs, such as paths, trails, cycles, matchings, cliques, and independent sets. In contrast to an ordinary graph, in which each edge connects exactly two vertices, an edge (or, "hy
Externí odkaz:
http://arxiv.org/abs/2201.05895
Autor:
Staples, G. Stacey
Publikováno v:
Adv. Appl. Clifford Algebras 31, 66 (2021)
Combinatorial properties of zeons have been applied to graph enumeration problems, graph colorings, routing problems in communication networks, partition-dependent stochastic integrals, and Boolean satisfiability. Power series of elementary zeon func
Externí odkaz:
http://arxiv.org/abs/2103.11227
Publikováno v:
Annals of the Missouri Botanical Garden, 2020 Jan 01. 105(1), 64-138.
Externí odkaz:
https://www.jstor.org/stable/48727934
Autor:
Staples, G. Stacey
Publikováno v:
International Journal of Theoretical Physics, 56 (2017), 3923-3934
Operators are induced on fermion and zeon algebras by the action of adjacency matrices and combinatorial Laplacians on the vector spaces spanned by the graph's vertices. Properties of the algebras automatically give information about the graph's span
Externí odkaz:
http://arxiv.org/abs/1408.1036
Publikováno v:
In Expert Systems With Applications 1 September 2017 80:14-27
Autor:
Staples, G.1 geozsg@gmail.com
Publikováno v:
Blumea. 2022, Vol. 67 Issue 1, p37-70. 34p.
Publikováno v:
Journal of Tropical Forest Science, 2013 Jul 01. 25(3), 325-338.
Externí odkaz:
https://www.jstor.org/stable/23617235
Publikováno v:
In Information and Software Technology November 2012 54(11):1265-1282
Publikováno v:
In Computer Standards & Interfaces June 2012 34(4):396-412