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Abstract:
The signless Laplacian tensor and its H-eigenvalues for an even uniform hypergraph are introduced in this paper. Some fundamental properties of them for an even uniform hypergraph are obtained. In particular, the smallest and the largest H-eigenvalues of the signless Laplacian tensor for an even uniform hypergraph are discussed, and their relationships to hypergraph bipartition, minimum degree, and maximum degree are described. As an application, the bounds of the edge cut and the edge connectivity of the hypergraph involving the smallest and the largest H-eigenvalues are presented.
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FRONTIERS OF MATHEMATICS IN CHINA
ISSN: 1673-3452
Year: 2013
Issue: 1
Volume: 8
Page: 107-127
0 . 4 5 2
JCR@2013
0 . 8 0 0
JCR@2023
JCR Journal Grade:3
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 25
SCOPUS Cited Count: 26
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
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