21 citations · 30 across the 10 of their papers we have counts for
12 papers
Sesqui-regular graphs with smallest eigenvalue at least
Qianqian Yang, Brhane Gebremichel, Masood Ur Rehman +2
Koolen et al. showed that if a graph with smallest eigenvalue at least has large minimal valency, then it is -integrable. In this paper, we will focus on the sesqui-regular…
Fractional order magnetic resonance fingerprinting in the human cerebral cortex
Viktor Vegh, Shahrzad Moinian, Qianqian Yang +1
Mathematical models are becoming increasingly important in magnetic resonance imaging (MRI), as they provide a mechanistic approach for making a link between tissue microstructure…
Embedding theory of lattices and its application for -integrable lattices
Qianqian Yang, Kiyoto Yoshino
For a positive integer , a lattice is said to be -integrable if is isometric to a sublattice of for some integer . Conway and Sloane f…
Generalisation of continuous time random walk to anomalous diffusion MRI models with an age-related evaluation of human corpus callosum
Qianqian Yang, David C. Reutens, Viktor Vegh
Diffusion MRI measures of the human brain provide key insight into microstructural variations across individuals and into the impact of central nervous system diseases and disorder…
Recent progress on graphs with fixed smallest eigenvalue
Jack H. Koolen, Meng-Yue Cao, Qianqian Yang
We give a survey on graphs with fixed smallest eigenvalue, especially on graphs with large minimal valency and also on graphs with good structures. Our survey mainly consists of th…
Sesqui-regular graphs with fixed smallest eigenvalue
Jack H. Koolen, Brhane Gebremichel, Jae Young Yang +1
Let be an integer. For strongly regular graphs with parameters and smallest eigenvalue , Neumaier gave two bounds on by using algebraic property of s…
Computational modelling of cardiac ischaemia using a variable-order fractional Laplacian
Megan E. Farquhar, Timothy J. Moroney, Qianqian Yang +2
Heart failure is one of the most common causes of death in the western world. Many heart problems are linked to disturbances in cardiac electrical activity, such as wave re-entry c…
On the integrability of strongly regular graphs
Jack H. Koolen, Masood Ur Rehman, Qianqian Yang
Koolen et al. showed that if a connected graph with smallest eigenvalue at least has large minimal valency, then it is -integrable. In this paper, we will prove that a lowe…
On graphs with smallest eigenvalue at least -3 and their lattices
Jack H. Koolen, Jae Young Yang, Qianqian Yang
In this paper, we show that a connected graph with smallest eigenvalue at least -3 and large enough minimal degree is 2-integrable. This result generalizes a 1977 result of Hoffman…
The integrally representable trees of norm 3
Jack H. Koolen, Masood Ur Rehman, Qianqian Yang
In this paper, we determine the integrally representable trees of norm 3.
A generalization of a theorem of Hoffman
Jack H. Koolen, Qianqian Yang, Jae Young Yang
In 1977, Hoffman gave a characterization of graphs with smallest eigenvalue at least . In this paper we generalize this result to graphs with smaller smallest eigenvalue. For t…
An application of Hoffman graphs for spectral characterizations of graphs
Qianqian Yang, Aida Abiad, Jack H. Koolen
In this paper, we present the first application of Hoffman graphs for spectral characterizations of graphs. In particular, we show that the -clique extension of the $(t+1)\times…