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math.CO2026
Ratio of the number of -nearly independent vertex subsets and the Merrifield-Simmons index
Audace A. V. Dossou-Olory, Eric O. D. Andriantiana, Valisoa R. M. Rakotonarivo +1
The number of induced subgraphs with size of a graph was introduced recently as the number of -nearly independent vertex subsets of . Results highlighting si…
math.CO2026
Bicyclic graphs with the smallest and largest numbers of connected sets
Audace A. V. Dossou-Olory
For a graph with vertex set , let N() denote the number of nonempty subsets of that induce a connected graph in . In this paper, we focus on determining N() for…