Finding all H-Eigenvalues of Signless Laplacian Tensor for a Uniform Loose Path of Length Three

Junjie Yue () and Liping Zhang
Additional contact information
Junjie Yue: Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China
Liping Zhang: Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2020, vol. 37, issue 04, 1-13

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 k-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 7(13). Some numerical results are given to show the efficiency of our method. Especially, the numerical results show that the H-spectrum is convergent when k goes to infinity. Finally, we present a conjecture that the signless Laplacian H-spectrum converges to {1, 1.5, 2} ({0, 1, 1.5, 2}) for odd (even)-uniform loose path of length three.

Keywords: H-eigenvalue; hypergraph; signless Laplacian tensor; loose path (search for similar items in EconPapers)
Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0217595920400072
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:37:y:2020:i:04:n:s0217595920400072

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0217595920400072

Access Statistics for this article

Asia-Pacific Journal of Operational Research (APJOR) is currently edited by Gongyun Zhao

More articles in Asia-Pacific Journal of Operational Research (APJOR) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().