论文标题
图形能量的界限
Bounds on Path Energy of Graphs
论文作者
论文摘要
给定图$ m,$ path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,2018)。在这项研究中,我们发现了对路径能量的新上限限制,并以图表的最大程度表示。另外,给出了图的能量和路径能量之间的关系。
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.