@ARTICLE{10.21494/ISTE.OP.2024.1198, 

TITLE={Forme des composantes connexes de la somme booléenne de deux digraphes (≤ 5)-hypomorphes à complémentaire près}, 
  
AUTHOR={Aymen Ben Amira
, Jamel Dammak 
, Hamza Si Kaddour, }, 
	
JOURNAL={Avancées en Mathématiques Pures et Appliquées}, 
	
VOLUME={15}, 

NUMBER={Numéro 4 (Septembre 2024)}, 
	
YEAR={2024}, 

URL={https://openscience.fr/Forme-des-composantes-connexes-de-la-somme-booleenne-de-deux-digraphes-%E2%89%A4-5}, 
	
DOI={10.21494/ISTE.OP.2024.1198}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={Let $$$G=(V,E)$$$ and $$$G'=(V,E')$$$ be two digraphs, $$$(\leq 5)$$$-hypomorphic up to complementation, and $$$U:=G\dot{+} G'$$$ be the boolean sum of $$$G$$$ and $$$G'$$$. The case where $$$U$$$ and $$$\overline U$$$ are both connected was studied by the authors and B.Chaari giving the form of the pair$$$\{G, G'\}$$$. In this paper we study the case where $$$U$$$ is not connected and give the morphology of the pair $$$\{G_{\restriction {V({\mathcal C})}},G'_{\restriction {V({\mathcal C})}}\}$$$ whenever $$$C$$$ is a connected component of $$$U$$$.}}