Independence numbers of some double vertex graphs and pair graphs
Paloma Jiménez-Sepúlveda, Luis Manuel Rivera · Revista Colombiana de Matemáticas · 2024
The combinatorial properties of the double vertex graph of a graph have been widely studied since the 90’s. However only very few results are know about the independence number of such graphs. In this paper we obtain the independence numbers of the double vertex graphs of fan graphs and wheel graphs. Also we obtain the independence numbers of the pair graphs, that is a kind of generalization of the double vertex graphs, of some families of graphs.