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arXiv · 1902.00748

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

Joshua Steier·Luis Monterroso
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Abstract

Rubei et. al., established results for the distance matrix of positive weighted Petersen graphs. Focusing on the properties of the distance matrix, we generalized positive weighted Petersen graphs results to Kneser graphs. We analyzed theorems established by Rubei et al. and used girth of the generalized Petersen graphs and Kneser graphs to conclude generalizations. Further, we examined the properties of positive weighted generalized Petersen graphs. We generalized the properties of distance matrices of positive weighted Petersen graphs to positive weighted generalized Petersen graphs.

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Joshua Steier, Luis Monterroso. 2019-02-02. A Characterization of Distance Matrices of Positive Weighted Kneser Graphs and Generalized Petersen Graphs. https://arxiv.org/abs/1902.00748

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