中文

ABS矩阵特征多项式与若干图的ABS能

组合数学 2025-09-03 v1

摘要

对于一个具有n个顶点和m条边的图G,Lin等人[1]定义原子-键和-连通性(ABS)矩阵,使得其(i,j)(i,j)分量为12di+dj\sqrt{1 - \frac{2}{d_i + d_j}}当顶点viv_i与顶点vjv_j相邻时,或为0。本文我们确定若干特定图类的ABS矩阵特征多项式。进一步我们计算这些图类的ABS特征值和ABS能。

关键词

引用

@article{arxiv.2509.02155,
  title  = {On the Characteristic polynomial of ABS Matrix and ABS-Energy of Some Graphs},
  author = {Sharad Barde and Ganesh Mundhe and Mayur Kshirsagar and A. N. Bhavale},
  journal= {arXiv preprint arXiv:2509.02155},
  year   = {2025}
}