Division of Mathematical Sciences

Ryo Nikkuni

  (新國 亮)

Profile Information

Affiliation
Professor, Department of Information and Mathematical Sciences, School of Arts and Sciences, Tokyo Woman's Christian University
Degree
Doctral degree in Information Sciences(Mar, 2002, Tohoku University)

Researcher number
00401878
J-GLOBAL ID
200901068608565487
researchmap Member ID
1000283497

External link

Papers

 38
  • Ryo Nikkuni
    Tokyo Journal of Mathematics, 47(2) to appear, Dec, 2024  Peer-reviewed
  • Ayumu Inoue, Naoki Kimura, Ryo Nikkuni, Kouki Taniyama
    Journal of Knot Theory and Its Ramifications, 31(11) 2250076, Aug 30, 2022  Peer-reviewed
  • R. Nikkuni
    Journal of Knot Theory and Its Ramifications, 31(03) 2250022, Mar, 2022  Peer-reviewed
    We say that a set of pairs of disjoint cycles [Formula: see text] of a graph [Formula: see text] is linked if for any spatial embedding [Formula: see text] of [Formula: see text] there exists an element [Formula: see text] of [Formula: see text] such that the [Formula: see text]-component link [Formula: see text] is nonsplittable, and also say minimally linked if none of its proper subsets are linked. In this paper, (1) we show that the set of all pairs of disjoint cycles of [Formula: see text] is minimally linked if and only if [Formula: see text] is essentially same as a graph in the Petersen family, and (2) for any two integers [Formula: see text], we exhibit a minimally linked set of Hamiltonian [Formula: see text]-pairs of cycles of the complete graph [Formula: see text] with at most 18 elements.
  • Hiroko Morishita, Ryo Nikkuni
    Annals of Combinatorics, 25(2) 439-470, Jun, 2021  Peer-reviewed
  • Erica Flapan, Kenji Kozai, Ryo Nikkuni
    New York Journal of Mathematics, 26 836-852, Aug, 2020  Peer-reviewed

Misc.

 2

Books and Other Publications

 1

Presentations

 56

Professional Memberships

 1

Research Projects

 10

Social Activities

 2

Media Coverage

 1