Ciclos de Hamilton en redes de paso conmutativo y de paso fijo.

Título inglés	Hamiltonian cycles on commutative-step and fixed-step networks.
Título español	Ciclos de Hamilton en redes de paso conmutativo y de paso fijo.
Autor/es	Fiol Mora, Miguel Angel ; Andrés Yebra, José Luis
Organización	Dep. Mat. Apl. Telem. Esc. Téc. Super. Ing. Telecomun. Univ. Politèc. Catalunya, Barcelona, España
Revista	0210-7821
Publicación	1988, 12 (2-3): 113-129, 13 Ref.
Tipo de documento	articulo
Idioma	Español
Resumen inglés	From a natural generalization to Z2 of the concept of congruence, it is possible to define a family of 2-regular digraphs that we call commutative-step networks. Particular examples of such digraphs are the cartesian product of two directed cycles, C1 x Ch, and the fixed-step network (or 2-step circulant digraph) DN,a,b. In this paper the theory of congruences in Z2 is applied to derive three equivalent characterizations of those commutative-step networks that have a Hamiltonian cycle. Some known results are then obtained as a corollary. For instance, necessary and sufficient conditions for C1 x Ch or DN,a,b to be hamiltonian are discussed.
Clasificación UNESCO	120106
Palabras clave español	Relaciones de equivalencia ; Congruencia ; Ciclo ; Números enteros ; Redes de interconexión
Código MathReviews	MR1024753
Código Z-Math	Zbl 0689.05028
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