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Abstract:
supertree is a connected and acyclic hypergraph. The set of r-uniform supertrees with n vertices and the set of r-uniform supertrees with perfect matchings on rk vertices are denoted by T-n and T-r,T-k, respectively. H. Li, J. Shao, and L. Qi [J. Comb. Optim., 2016, 32(3): 741-764] proved that the hyperstar S-n,S-r attains uniquely the maximum spectral radius in T-n. Focusing on the spectral radius in T-r,T-k, this paper will give the maximum value in T-r,T-k and their corresponding supertree.
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FRONTIERS OF MATHEMATICS IN CHINA
ISSN: 1673-3452
Year: 2018
Issue: 6
Volume: 13
Page: 1489-1499
0 . 5 6 5
JCR@2018
0 . 8 0 0
JCR@2023
JCR Journal Grade:3
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 10
SCOPUS Cited Count: 10
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
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