Efficient ising model mapping for induced subgraph isomorphism problems using ising machines

Natsuhito Yoshimura, Masashi Tawada, Shu Tanaka, Junya Arai, Satoshi Yagi, Hiroyuki Uchiyama, Nozomu Togawa

研究成果: Conference contribution

3 被引用数 (Scopus)

抄録

Ising machines have attracted attention as they are expected to solve combinatorial optimization problems at high speed with Ising models corresponding to those problems. An induced subgraph isomorphism problem is one of the decision problems, which determines whether a specific graph structure is included in a whole graph or not. The problem can be represented by equality constraints. By using the penalty functions correspond to the equality constraints, we can utilize an Ising machine to the induced subgraph isomorphism problem. The induced subgraph isomorphism problem can be seen in many practical problems, for example, finding out a particular malicious circuit in a device or particular network structure of chemical bonds in a compound. However, due to the limitation of the number of spin variables in the current Ising machines, reducing the number of spin variables is a major concern. Here, we propose an efficient Ising model mapping method to solve the induced subgraph isomorphism problem by Ising machines. Our proposed method theoretically solves the induced subgraph isomorphism problem. Furthermore, the number of spin variables in the Ising model generated by our proposed method is theoretically smaller than that of the conventional method. Experimental results demonstrate that our proposed method can successfully solve the induced subgraph isomorphism problem using the Isingmodel based simulated annealing.

本文言語English
ホスト出版物のタイトルProceedings - 2019 IEEE 9th International Conference on Consumer Electronics, ICCE-Berlin 2019
編集者Gordan Velikic, Christian Gross
出版社IEEE Computer Society
ページ227-232
ページ数6
ISBN(電子版)9781728127453
DOI
出版ステータスPublished - 2019 9
イベント9th IEEE International Conference on Consumer Electronics, ICCE-Berlin 2019 - Berlin, Germany
継続期間: 2019 9 82019 9 11

出版物シリーズ

名前IEEE International Conference on Consumer Electronics - Berlin, ICCE-Berlin
2019-September
ISSN(印刷版)2166-6814
ISSN(電子版)2166-6822

Conference

Conference9th IEEE International Conference on Consumer Electronics, ICCE-Berlin 2019
国/地域Germany
CityBerlin
Period19/9/819/9/11

ASJC Scopus subject areas

  • 電子工学および電気工学
  • 産業および生産工学
  • メディア記述

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