InforLorV4, Main, Exploration, bibRecord, 000707

Generalized Zeon Algebras: Theory and Application to Multi-Constrained Path Problems

Identifieur interne : 000707 ( Main/Exploration ); précédent : 000706; suivant : 000708

Generalized Zeon Algebras: Theory and Application to Multi-Constrained Path Problems

Auteurs : René Schott [France] ; G. Stacey Staples [États-Unis]

Source :

Advances in Applied Clifford Algebras [ 0188-7009 ] ; 2015.

RBID : Hal:hal-00603748

English descriptors

mix :
- message routing, operator calculus, semigroup algebras, shortest paths.

Abstract

Classical approaches to routing problems invariably require construction of trees and the use of heuristics to prevent combinatorial explosion. The operator calculus approach presented herein, however, allows such explicit tree constructions to be avoided. Introduced here is the notion of generalized zeon algebras and their associated operator calculus. The inherent combinatorial properties of generalized zeons make them useful for routing problems by implicitly pruning the underlying tree structures. As an application, an operator calculus approach to multi-constrained path problems is described.

Url:

https://hal.archives-ouvertes.fr/hal-00603748

Affiliations:

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Le document en format XML

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<front><div type="abstract" xml:lang="en">Classical approaches to routing problems invariably require construction of trees and the use of heuristics to prevent combinatorial explosion. The operator calculus approach presented herein, however, allows such explicit tree constructions to be avoided. Introduced here is the notion of generalized zeon algebras and their associated operator calculus. The inherent combinatorial properties of generalized zeons make them useful for routing problems by implicitly pruning the underlying tree structures. As an application, an operator calculus approach to multi-constrained path problems is described.</div>
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Generalized Zeon Algebras: Theory and Application to Multi-Constrained Path Problems

Generalized Zeon Algebras: Theory and Application to Multi-Constrained Path Problems

Source :

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri