Given a graph $M,$ path eigenvalues are eigenvalues of its path matrix. The path energy of a simple graph $M$ is equal to the sum of the absolute values of the path eigenvalues of the graph $M$ (Shikare et. al, 2018). We have discovered new upper constraints on path energy in this study, expressed in terms of a graph's maximum degree. Additionally, a relationship between a graph's energy and path energy is given.

翻译：给定图$M$，路径特征值是其路径矩阵的特征值。简单图$M$的路径能量等于图$M$的路径特征值的绝对值之和（Shikare等人，2018）。本研究发现了路径能量的新上界，这些上界以图的最大度表示。此外，还给出了图的能量与路径能量之间的关系。