Moore–Penrose Inverse of the Signless Laplacians of Bipartite Graphs

被引：0
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作者：
Abdullah Alazemi
Osama Alhalabi
Milica Anđelić
机构：
[1] Kuwait University,Department of Mathematics
[2] Kuwait University,College of Graduate Studies
来源：
Bulletin of the Iranian Mathematical Society | 2023年 / 49卷
关键词：
Moore–Penrose inverse; Incidence matrix; Signless Laplacian matrix; Laplacian matrix; 05C50; 15A09;
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摘要：
We provide a relation between the Moore–Penrose inverse of the Laplacian and signless Laplacian matrices of a bipartite graph. As a consequence, we obtain combinatorial formulae for the Moore–Penrose inverse of signless Laplacians of bipartite graphs. We also provide a combinatorial formula for the Moore–Penrose inverse of an incidence matrix of any graph. In this way, we answer some of open problems raised in Hessert and Mallik (Discrete Math 344:112451, 2021).
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