Generalized Zeon Algebras: Theory and Application to Multi-Constrained Path Problems
Identifieur interne : 002568 ( Hal/Corpus ); précédent : 002567; suivant : 002569Generalized Zeon Algebras: Theory and Application to Multi-Constrained Path Problems
Auteurs : René Schott ; G. Stacey StaplesSource :
- Advances in Applied Clifford Algebras [ 0188-7009 ] ; 2015.
English descriptors
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.
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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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<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.</abstract>
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