论文标题
无价的拉普拉斯埃斯特拉达索引和拉普拉斯埃斯特拉达统一超图指数
Signless Laplacian Estrada index and Laplacian Estrada index of uniform hypergraphs
论文作者
论文摘要
我们将Laplacian和无价的Laplacian Estrada指数的概念推广到统一的超图。对于$ r $ - 均匀的超图$ h，$我们得出了$ r+1 $ r+1 $ trace公式的（无标志性）laplacian tensor $h。$的tensor $ h。$等通过使用此痕量公式，我们为Laplacian Estrada Index获得无情的Laplacian Estrada Index和上限。此外，我们建立了涉及均匀超图的拉普拉斯埃斯特拉达指数和拉普拉斯能量的结合。
We generalize the notions of Laplacian and signless Laplacian Estrada index to uniform hypergraphs. For an $r$-uniform hypergraph $H,$ we derive an order $r+1$ trace formula of the (signless) Laplacian tensor of $H.$ Among others by using this trace formula, we obtain lower bounds for the signless Laplacian Estrada index and upper bounds for the Laplacian Estrada index. Moreover, we establish a bound involving both the Laplacian Estrada index and Laplacian energy of a uniform hypergraph.
