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H+EIGENVALUES OF LAPLACIAN AND SIGNLESS LAPLACIAN TENSORS
, 2014
"... We propose a simple and natural definition for the Laplacian and the signless Laplacian tensors of a uniform hypergraph. We study their H+eigenvalues, i.e., Heigenvalues with nonnegative Heigenvectors, and H++eigenvalues, i.e., Heigenvalues with positive Heigenvectors. We show that each of ..."
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We propose a simple and natural definition for the Laplacian and the signless Laplacian tensors of a uniform hypergraph. We study their H+eigenvalues, i.e., Heigenvalues with nonnegative Heigenvectors, and H++eigenvalues, i.e., Heigenvalues with positive Heigenvectors. We show that each of the Laplacian tensor, the signless Laplacian tensor, and the adjacency tensor has at most one H++eigenvalue, but has several other H+eigenvalues. We identify their largest and smallest H+eigenvalues, and establish some maximum and minimum properties of these H+eigenvalues. We then define analytic connectivity of a uniform hypergraph and discuss its application in edge connectivity.
An introduction to spectral distances in networks
 in Neural Nets WIRN10: Proceedings of the 20th Italian Workshop on Neural Nets
, 2011
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Regular Uniform Hypergraphs, sCycles, sPaths and Their largest Laplacian HEigenvalues
, 2014
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The eigenvectors of the zero Laplacian and signless Laplacian eigenvalues of a uniform hypergraph
, 2014
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Matrices of Graphs and Designs with Emphasis on their EigenPair Balanced Characteristic
 University of KwaZulu Natal
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Constructions of cospectral bipartite graphs for the normalized Laplacian, Under review
"... Part of the Mathematics Commons This Dissertation is brought to you for free and open access by the Graduate College at Digital Repository @ Iowa State University. It has been accepted for inclusion in Graduate Theses and Dissertations by an authorized administrator of Digital Repository @ Iowa Stat ..."
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Cited by 3 (1 self)
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Part of the Mathematics Commons This Dissertation is brought to you for free and open access by the Graduate College at Digital Repository @ Iowa State University. It has been accepted for inclusion in Graduate Theses and Dissertations by an authorized administrator of Digital Repository @ Iowa State University. For more information, please contact
Some spectral characterization of strongly distanceregular graphs
 Combin. Probab. Comput
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