{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,2,3]],"date-time":"2023-02-03T05:52:45Z","timestamp":1675403565016},"reference-count":23,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2020,8]]},"abstract":" H-spectra of adjacency tensor, Laplacian tensor, and signless Laplacian tensor are important tools for revealing good geometric structures of the corresponding hypergraph. It is meaningful to compute H-spectra for some special [Formula: see text]-uniform hypergraphs. For an odd-uniform loose path of length three, the Laplacian H-spectrum has been studied. In this paper, we compute all signless Laplacian H-eigenvalues for the class of loose paths. We show that the number of H-spectrum of signless Laplacian tensor for an odd(even)-uniform loose path with length three is [Formula: see text]([Formula: see text]). Some numerical results are given to show the efficiency of our method. Especially, the numerical results show that the H-spectrum is convergent when [Formula: see text] goes to infinity. Finally, we present a conjecture that the signless Laplacian H-spectrum converges to [Formula: see text] ([Formula: see text]) for odd (even)-uniform loose path of length three. <\/jats:p>","DOI":"10.1142\/s0217595920400072","type":"journal-article","created":{"date-parts":[[2020,5,19]],"date-time":"2020-05-19T05:37:52Z","timestamp":1589866672000},"page":"2040007","source":"Crossref","is-referenced-by-count":1,"title":["Finding all H-Eigenvalues of Signless Laplacian Tensor for a Uniform Loose Path of Length Three"],"prefix":"10.1142","volume":"37","author":[{"given":"Junjie","family":"Yue","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China"}]},{"given":"Liping","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. 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