Titre : [FORTHCOMING] Morphology of the connected components of the boolean sum of two digraphs (≤ 5)-hypomorphic up to complementation 

Auteurs : Aymen Ben Amira
, Jamel Dammak 
, Hamza Si Kaddour,  

Revue : Advances in Pure and Applied Mathematics 

Numéro : Forthcoming papers<br> 

Volume :  

Date : 2024/05/22 

DOI : TBA 

ISSN : 1869-6090 

Résumé : Let $$$G=(V,E)$$$ and $$$G&#039;=(V,E&#039;)$$$ be two digraphs, $$$(\leq 5)$$$-hypomorphic up to complementation, and $$$U:=G\dot{+} G&#039;$$$ be the boolean sum of $$$G$$$ and $$$G&#039;$$$. The case where $$$U$$$ and $$$\overline U$$$ are both connected was studied by the authors and B.Chaari giving the form of the pair$$$\{G, G&#039;\}$$$. In this paper we study the case where $$$U$$$ is not connected and give the morphology of the pair $$$\{G_{\restriction {V({\mathcal C})}},G&#039;_{\restriction {V({\mathcal C})}}\}$$$ whenever $$$C$$$ is a connected component of $$$U$$$. 

Éditeur : ISTE OpenScience