Nombre chromatique et plus longs chemins d'un graphe Revue française d'informatique et de recherche opérationnelle, tome 1, n o 5 (1967), p. 129-132. © AFCET, 1967, tous droits réservés. L'accès aux archives de la revue « Revue française d'informatique et de recherche opérationnelle » implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/

In this paper, a new class of sets called µ-generalized closed (briefly µg-closed) sets in generalized topological spaces are introduced and studied. The class of all µg-closed sets is strictly larger than the class of all µ-closed sets (in the sense ofÁ. Császár). Furthermore, g-closed sets (in the sense of N. Levine) is a special type of µg-closed sets in a topological space. Some of their properties are investigated here. Finally, some characterizations of µ-regular and µ-normal spaces have been given.

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Characterizations of some properties of generalized R 0 and R 1 topological spaces by using closure operator dened on a generalized topological space will be given. It is also shown that many results done in this area in some previous papers can be considered as special cases of our results.