论文标题
从某些图的连接中构建非规范$A_α$ -Cosectral图
Construction of non-regular $A_α$-cospectral graphs from some join of graphs
论文作者
论文摘要
共光学图是图理论中的一个引人入胜的概念，其中两个非同构图具有相同的特征值集。在本文中，我们计算了$A_α$ - 邻居的特征多项式和非邻居分裂的加入，邻居和非纽布阴影Join，Central Vertex和Edge Join and Edge Join and Repplicate and Replicate of两个图。此外，当$ \ graphene_1 $和$ \ graphene_2 $是常规的时，我们计算这些图的$a_α$ -spectrum。作为一个应用程序，我们构造了非规范的非晶状图，为$a_α$ -cospectral。
Cospectral graphs are a fascinating concept in graph theory, where two non-isomorphic graphs possess identical sets of eigenvalues. In this paper, we compute the $A_α$-characteristic polynomial of neighbour and non-neighbour splitting join, neighbour and non-neighbour shadow join, central vertex and edge join and duplicate join of two graphs. In addition, when $\graphene_1$ and $\graphene_2$ are regular, we compute the $A_α$-spectrum of these graphs. As an application, we construct non-regular, non-isomorphic graphs that are $A_α$-cospectral.
