TY - JOUR
T1 - The effect on the (signless Laplacian) spectral radii of uniform hypergraphs by subdividing an edge
AU - Xiao, Peng
AU - Wang, Ligong
N1 - Publisher Copyright:
© 2020 Elsevier B.V.
PY - 2020/9/15
Y1 - 2020/9/15
N2 - In this paper, we investigate how the spectral radius (resp., signless Laplacian spectral radius) changes when a connected uniform hypergraph is perturbed by subdividing an edge. We extend the results of Hoffman and Smith from connected graphs to connected uniform hypergraphs. Moreover, we also study how the Laplacian spectral radius behaves when an odd-bipartite uniform hypergraph is perturbed by subdividing an edge. As applications, we determine the unique unicyclic hypergraph with the largest signless Laplacian spectral radius, and also determine the unique unicyclic even uniform hypergraph with the largest Laplacian spectral radius.
AB - In this paper, we investigate how the spectral radius (resp., signless Laplacian spectral radius) changes when a connected uniform hypergraph is perturbed by subdividing an edge. We extend the results of Hoffman and Smith from connected graphs to connected uniform hypergraphs. Moreover, we also study how the Laplacian spectral radius behaves when an odd-bipartite uniform hypergraph is perturbed by subdividing an edge. As applications, we determine the unique unicyclic hypergraph with the largest signless Laplacian spectral radius, and also determine the unique unicyclic even uniform hypergraph with the largest Laplacian spectral radius.
KW - Laplacian spectral radius
KW - Signless Laplacian spectral radius
KW - Spectral radius
KW - Subdivision of an edge
KW - Uniform hypergraph
UR - http://www.scopus.com/inward/record.url?scp=85079433990&partnerID=8YFLogxK
U2 - 10.1016/j.dam.2020.01.041
DO - 10.1016/j.dam.2020.01.041
M3 - 文章
AN - SCOPUS:85079433990
SN - 0166-218X
VL - 283
SP - 444
EP - 455
JO - Discrete Applied Mathematics
JF - Discrete Applied Mathematics
ER -