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Rubei et. al., established results for the distance matrix of positiveweighted Petersen graphs. Focusing on the properties of the distance matrix, wegeneralized positive weighted Petersen graphs results to Kneser graphs. Weanalyzed theorems established by Rubei et al. and used girth of the generalizedPetersen graphs and Kneser graphs to conclude generalizations. Further, weexamined the properties of positive weighted generalized Petersen graphs. Wegeneralized the properties of distance matrices of positive weighted Petersengraphs to positive weighted generalized Petersen graphs.

A Characterization of Distance Matrices of Positive Weighted Kneser Graphs and Generalized Petersen Graphs