On the Z‐eigenvalues of the signless Laplacian tensor for an even uniform hypergraph. Issue 6 (24th September 2013)

• Record Type: Journal Article
• Authors: Xie, Jinshan; Chang, An; Lim, Lek‐Heng; Ng, Michael K.; Qi, Liqun
• Is Part Of: Numerical linear algebra with applications. Volume 20:Issue 6(2013:Nov.)
• Page Start: 1030
• Page End: 1045
• Publication Date: 2013-09-24
• Subjects: Algebras, Linear -- Periodicals; 512.5
• DOI: 10.1002/nla.1910
• Languages: English
• ISSNs: 1070-5325

Abstract

<abstract abstract-type="main" id="nla1910-abs-0001"> <title>SUMMARY</title> <p id="nla1910-para-0001">We generalize the signless Laplacian matrices for graphs to the signless Laplacian tensors for even uniform hypergraphs and set some fundamental properties for the spectral hypergraph theory based upon the signless Laplacian tensors. In particular, the smallest and the largest Z‐eigenvalues of the signless Laplacian tensor for an even uniform hypergraph are studied, and as an application, the bounds of the edge cut and the edge connectivity of the hypergraph involving these two Z‐eigenvalues are presented. Copyright © 2013 John Wiley &amp; Sons, Ltd.</p> </abstract>