Name
Title | ||
|---|---|---|
Realization Of Multi-Terminal Universal Interconnection Networks Using Contact Switches |
Abstract | ||
|---|---|---|
A universal interconnection network implements arbitrary interconnections among n terminals. This paper considers a problem to realize such a network using contact switches. When n = 2, it can be implemented with a single switch. The number of different connections among n terminals is given by the Bell number B(n). The Bell number shows the total number of methods to partition n distinct elements. For n = 2, 3, 4, 5 and 6, the corresponding Bell numbers are 2, 5, 15, 52, and 203, respectively. This paper shows a method to realize an n terminal universal interconnection network with 3/8(n(2)-1) contact switches when n = 2m+ 1 = 5, and n/8(3n + 2) contact switches, when n = 2m >= 6. Also, it shows that a lower bound on the number of contact switches to realize an n-terminal universal interconnection network is [log(2) B(n)], where B(n) is the Bell number. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1587/transinf.2020LOP0001 | IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS |
Keywords | DocType | Volume |
interconnection network, partition number, Bell number, complexity of circuits, contact switch, multi-position switch, universal network, contact network | Journal | E104D |
Issue | ISSN | Citations |
8 | 1745-1361 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tsutomu Sasao | 1 | 1083 | 141.62 |
| Takashi Matsubara | 2 | 8 | 1.87 |
| Katsufumi Tsuji | 3 | 0 | 0.34 |
| Yoshiaki Koga | 4 | 0 | 0.34 |