Hamiltonian cycles on commutative-step and fixed-step networks.

Miguel Angel Fiol Mora; José Luis Andrés Yebra

Stochastica (1988)

  • Volume: 12, Issue: 2-3, page 113-129
  • ISSN: 0210-7821

Abstract

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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.

How to cite

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Fiol Mora, Miguel Angel, and Andrés Yebra, José Luis. "Ciclos de Hamilton en redes de paso conmutativo y de paso fijo.." Stochastica 12.2-3 (1988): 113-129. <http://eudml.org/doc/38993>.

@article{FiolMora1988,
author = {Fiol Mora, Miguel Angel, Andrés Yebra, José Luis},
journal = {Stochastica},
keywords = {Relaciones de equivalencia; Congruencia; Ciclo; Números enteros; Redes de interconexión; 2-regular digraphs; commutative-step networks; congruences; hamiltonian cycle},
language = {spa},
number = {2-3},
pages = {113-129},
title = {Ciclos de Hamilton en redes de paso conmutativo y de paso fijo.},
url = {http://eudml.org/doc/38993},
volume = {12},
year = {1988},
}

TY - JOUR
AU - Fiol Mora, Miguel Angel
AU - Andrés Yebra, José Luis
TI - Ciclos de Hamilton en redes de paso conmutativo y de paso fijo.
JO - Stochastica
PY - 1988
VL - 12
IS - 2-3
SP - 113
EP - 129
LA - spa
KW - Relaciones de equivalencia; Congruencia; Ciclo; Números enteros; Redes de interconexión; 2-regular digraphs; commutative-step networks; congruences; hamiltonian cycle
UR - http://eudml.org/doc/38993
ER -

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