4 papers
Spherical Designs with Infinite Harmonic Strength
Ryutaro Misawa, Yusaku Nishimura
In this paper, we study the existence problem for spherical \(T\)-designs on the \(d\)-dimensional sphere, where \(T\) is an infinite subset of \(\mathbb N\). We show that, if \(d\…
Spherical Designs on of Finite Harmonic Strength
Ryutaro Misawa, Yusaku Nishimura
We study exact harmonic strengths of finite spherical designs on the unit circle. For a nonempty finite set \(X\subset S^1\), let \(\Hst(X)\) be the set of positive integers \(k\)…
The Kneser chromatic function distinguishes trees
Yusaku Nishimura
R.P. Stanley defined a invariant for graphs called the chromatic symmetric function and conjectured it is complete invariant for trees. Miezaki et al. generalised the chromatic sym…
Average hitting times in some -equitable graphs
Yusaku Nishimura
It is known that the average hitting times of simple random walks from any vertex to any other vertex in distance-regular graphs are determined by their intersection array. In this…