抄録
Graphs with self-loops enable to represent a large variety of interactions in natural and artificial systems, allowing not only inter-connectivity among heterogeneous entities but also the self-dependence of entities, e.g.The recursive and autonomous nature of dynamical systems. In this paper we present new bijective constructs which enable the numerical representation of graphs with self loops (or loopy graphs). In particular, we study the case of (1) undirected and (2) directed graphs with n nodes and m edges with self-loops. Our proposed approach realizes the succinct representations by using integer numbers in which rigorous computational experiments show the efficiency of our proposed algorithms: The complexity follows a quasi-linear behaviour as a function of the number of edges (which is independent of the number of nodes). Furthermore, as direct consequence of our constructs, we propose list structures having O(m) space complexity, which realize the linear space complexity depending only on the number of edges (the list is independent of n). We believe that our bijective algorithms are useful to tackle problems involving sampling of graphical models, network design as well as process planning by using number theory and sample-based learning.
本文言語 | English |
---|---|
ホスト出版物のタイトル | Proceedings - 2017 International Conference on Tools with Artificial Intelligence, ICTAI 2017 |
出版社 | IEEE Computer Society |
ページ | 342-349 |
ページ数 | 8 |
巻 | 2017-November |
ISBN(電子版) | 9781538638767 |
DOI | |
出版ステータス | Published - 2018 6 4 |
イベント | 29th IEEE International Conference on Tools with Artificial Intelligence, ICTAI 2017 - Boston, United States 継続期間: 2017 11 6 → 2017 11 8 |
Other
Other | 29th IEEE International Conference on Tools with Artificial Intelligence, ICTAI 2017 |
---|---|
Country | United States |
City | Boston |
Period | 17/11/6 → 17/11/8 |
ASJC Scopus subject areas
- Software
- Artificial Intelligence
- Computer Science Applications