正权Kneser图和广义Petersen图的距离矩阵的一个刻画
A Characterization of Distance Matrices of Positive Weighted Kneser Graphs and Generalized Petersen Graphs
摘要:
Rubei et.例如,建立了正赋权Petersen图的距离矩阵的结果。针对距离矩阵的性质,将正加权Petersen图的结果推广到Kneser图。本文分析了Rubei等人建立的定理,并利用广义Petersen图和Kneser图的围长得到了推广。此外,我们还研究了正加权广义Petersen图的性质。将正加权Petersen图的距离矩阵的性质推广到正加权广义Petersen图。
英文摘要:
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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