@ARTICLE{À venir, 

TITLE={[FORTHCOMING] Forêts maximisant l’indice de Hosoya à taille et nombre de couplage maximum fixés}, 
  
AUTHOR={Rasamimanantsoa Victor, }, 
	
JOURNAL={Avancées en Mathématiques Pures et Appliquées}, 
	
VOLUME={}, 

NUMBER={Articles à paraître<br>}, 
	
YEAR={2026}, 

URL={https://www.openscience.fr/Forets-maximisant-l-indice-de-Hosoya-a-taille-et-nombre-de-couplage-maximum}, 
	
DOI={À venir}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={The Hosoya index of a graph $$$G$$$ is defined as the total number of matchings in $$$G$$$, including the empty edge set. In this paper, we study the maximum value of the Hosoya index. To this end, we introduce the notion of a "balanced forest of stars" and we characterize all forests of size $$$n$$$ and matching number $$$m$$$ that maximize the Hosoya index. We prove that this maximum is attained if and only if the forest is a balanced forest of stars.}}