TY  - Type of reference 
TI  - Forme des composantes connexes de la somme booléenne de deux digraphes (≤ 5)-hypomorphes à complémentaire près 
AU  - Aymen Ben Amira
 
AU  - Jamel Dammak 
 
AU  - Hamza Si Kaddour 
AB  - 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 $$$U$$$. 
DO  - 10.21494/ISTE.OP.2024.1198 
JF  - Avancées en Mathématiques Pures et Appliquées 
KW  - Digraph, graph, isomorphism, k-hypomorphy up to complementation, boolean sum, tournament, interval, Digraph, graph, isomorphism, k-hypomorphy up to complementation, boolean sum, tournament, interval,  
L1  - https://openscience.fr/IMG/pdf/iste_apam24v15n4_1.pdf 
LA  - fr 
PB  - ISTE OpenScience 
DA  - 2024/09/18 
SN  - 1869-6090 
TT  - Morphology of the connected components of the boolean sum of two digraphs (≤ 5)-hypomorphic up to complementation 
UR  - https://openscience.fr/Forme-des-composantes-connexes-de-la-somme-booleenne-de-deux-digraphes-%E2%89%A4-5 
IS  - Numéro 4 (Septembre 2024) 
VL  - 15 
ER  -