TY  - Type of reference 
TI  - [FORTHCOMING] Forests maximizing the Hosoya index with fixed size and matching number 
AU  - Rasamimanantsoa Victor 
AB  - 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. 
DO  - TBA 
JF  - Advances in Pure and Applied Mathematics 
KW  - Hosoya index, Matching, Extremal forest, Forest of stars, Hosoya index, Matching, Extremal forest, Forest of stars,  
L1  -  
LA  - en 
PB  - ISTE OpenScience 
DA  - 2026/10/14 
SN  - 1869-6090 
TT  - [FORTHCOMING] Forêts maximisant l’indice de Hosoya à taille et nombre de couplage maximum fixés 
UR  - https://www.openscience.fr/Forests-maximizing-the-Hosoya-index-with-fixed-size-and-matching-number 
IS  - Forthcoming papers<br> 
VL  -  
ER  -