|タイトル||Finding Cheeger Cuts in Hypergraphs via Heat Equation|
|講演者||Yuuki Takai氏（Keio University)|
|場所||慶應義塾大学理工学部 14棟 7階733 (Building 14, Room 733)|
I will talk about our priprint "Finding Cheeger Cuts in Hypergraphs via Heat Equation" Ikeda, Miyauchi, Takai (RIKEN AIP), Yoshida (NII) arXiv:1809.04396. This paper is about analysis of heat on hypergraphs and its application on local community detection.
The contents of this paper is devided to two parts, a mathematics side and a network side.
In this talk, I will explain the results focusing on the mathematics side, that is, analysis of solutions of heat equations on hypergraphs by using theory of maximal monotone operators and these evolution equations.