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Recherche à voisinage variable de graphes extrémaux 26. Nouveaux résultats sur la maille

Published online by Cambridge University Press:  08 October 2009

Mustapha Aouchiche ,
Odile Favaron  and
Pierre Hansen
Mustapha Aouchiche
Affiliation:
HEC Montréal, Qc, Canada; Mustapha.Aouchiche@gerad.ca
Odile Favaron
Affiliation:
Univ Paris-Sud, LRI, UMR 8623, Orsay, 91405, France. CNRS, Orsay, 91405, France; of@LRI.lri.fr
Pierre Hansen
Affiliation:
GERAD et HEC Montréal, Qc, Canada; Pierre.Hansen@gerad.ca
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Abstract

On étudie à l'aide du système AutoGraphiX 2 (AGX 2) des relations de la forme \[ \underline{b}_{n} \, \le \, g \, \oplus \, i \, \le \, \overline{b}_{n} \] où g désigne la maille d'un graphe G=(V, E), i un autre invariant parmi la distance moyenne $\overline{l}$, l'index λ1, l'indice de Randić R et le nombre de domination β, $\oplus$ désigne l'une des opérations +, -, ×, /, $\underline{b}_{n}$ et $\overline{b}_{n}$ des fonctions de l'ordre n du graphe qui bornent l'expression $g\oplus i$ et sont atteintes pour tout n (sauf éventuellement de très petites valeurs du fait des effets de bord). Les résultats prouvés ou discutés ci-dessous ont déjà été présentés, sous forme de conjectures, dans un article précédent paru dans RAIRO Recherche Opérationnelle [RAIRO Oper. Res. 39 (2005) 275–293].

Keywords

GraphAGXgirthdistanceRandićindexdomination.GrapheAGXmailledistanceRandićindexdomination.
Type
Research Article
Information
RAIRO - Operations Research , Volume 43 , Issue 4: ROADEF 07 , October 2009 , pp. 339 - 358
Copyright
© EDP Sciences, ROADEF, SMAI, 2009

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References

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