17 citations · 40 across the 10 of their papers we have counts for
6 papers · 1 filter
Some properties and applications of odd-colorable -hypergraphs
Xiying Yuan, Liqun Qi, Jiayu Shao +1
Let and be even. An -hypergraph on vertices is called odd-colorable if there exists a map such that for any edge $\{j_{1},j_{2}…
The proof of a conjecture on largest Laplacian and signless Laplacian H-eigenvalues of uniform hypergraphs
Xiying Yuan, Liqun Qi, Jiayu Shao
Let and be the adjacency tensor, Laplacian tensor and signless Laplacian tensor of uniform hypergra…
Some Spectral Properties and Characterizations of Connected Odd-bipartite Uniform Hypergraphs
Jia-Yu Shao, Hai-Ying Shan, Bao-feng Wu
A -uniform hypergraph is called odd-bipartite ([5]), if is even and there exists some proper subset of such that each edge of contains odd number of…
Regular Uniform Hypergraphs, -Cycles, -Paths and Their largest Laplacian H-Eigenvalues
Liqun Qi, Jiayu Shao, Qun Wang
In this paper, we show that the largest signless Laplacian H-eigenvalue of a connected -uniform hypergraph , where , reaches its upper bound , where is…
A general product of tensors with applications
Jia-Yu Shao
We define a general product of two -dimensional tensors and with orders and , respectively. This product is a generalization of the…
On the extremal energy of integral weighted trees
Richard A. Brualdi, Jia-Yu Shao, Shi-Cai Gong +2
Let and denote the classes of weighted trees and forests, respectively, of order with the positive integral weights and the fixed total…