On the mutually independent Hamiltonian cycles in faulty hypercubes

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10172733" target="_blank" >RIV/00216208:11320/13:10172733 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.ins.2013.02.020" target="_blank" >http://dx.doi.org/10.1016/j.ins.2013.02.020</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ins.2013.02.020" target="_blank" >10.1016/j.ins.2013.02.020</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the mutually independent Hamiltonian cycles in faulty hypercubes

Popis výsledku v původním jazyce

Two ordered Hamiltonian paths in the n-dimensional hypercube Q_n are said to be independent if ith vertices of the paths are distinct for every 1 {= i {= 2^n. Similarly, two s-starting Hamiltonian cycles are independent if the ith vertices of the cycle are distinct for every 2 {= i {= 2^n. A set S of Hamiltonian paths (s-starting Hamiltonian cycles) are mutually independent if every two paths (cycles, respectively) from S are independent. We show that for n pairs of adjacent vertices w_i and b_i, thereare n mutually independent Hamiltonian paths with endvertices w_i, b_i in Q_n. We also show that Q_n contains n - f fault-free mutually independent s-starting Hamiltonian cycles, for every set of f {= n - 2 faulty edges in Q_n and every vertex s. This improves previously known results on the numbers of mutually independent Hamiltonian paths and cycles in the hypercube with faulty edges.

Název v anglickém jazyce

On the mutually independent Hamiltonian cycles in faulty hypercubes

Popis výsledku anglicky

Two ordered Hamiltonian paths in the n-dimensional hypercube Q_n are said to be independent if ith vertices of the paths are distinct for every 1 {= i {= 2^n. Similarly, two s-starting Hamiltonian cycles are independent if the ith vertices of the cycle are distinct for every 2 {= i {= 2^n. A set S of Hamiltonian paths (s-starting Hamiltonian cycles) are mutually independent if every two paths (cycles, respectively) from S are independent. We show that for n pairs of adjacent vertices w_i and b_i, thereare n mutually independent Hamiltonian paths with endvertices w_i, b_i in Q_n. We also show that Q_n contains n - f fault-free mutually independent s-starting Hamiltonian cycles, for every set of f {= n - 2 faulty edges in Q_n and every vertex s. This improves previously known results on the numbers of mutually independent Hamiltonian paths and cycles in the hypercube with faulty edges.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

IN - Informatika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Information Sciences

ISSN

0020-0255

e-ISSN

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Svazek periodika

236

Číslo periodika v rámci svazku

1. červenec 2013

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

12

Strana od-do

224-235

Kód UT WoS článku

000318747800017

EID výsledku v databázi Scopus

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