scholarly journals Multiprocessor interconnection networks using partitioned optical passive star (POPS) topologies and distributed control

Author(s):  
D.M. Chiarulli ◽  
S.P. Levitan ◽  
R.P. Melhem ◽  
J.P. Teza ◽  
G. Gravenstreter
1996 ◽  
Vol 14 (7) ◽  
pp. 1601-1612 ◽  
Author(s):  
D.M. Chiarulli ◽  
S.P. Levitan ◽  
R.P. Melhem ◽  
J.P. Teza ◽  
G. Gravenstreter

Computer ◽  
1989 ◽  
Vol 22 (2) ◽  
pp. 25-37 ◽  
Author(s):  
L.N. Bhuyan ◽  
Qing Yang ◽  
D.P. Agrawal

2009 ◽  
Vol 20 (05) ◽  
pp. 941-963 ◽  
Author(s):  
DRAGOŠ CVETKOVIĆ ◽  
TATJANA DAVIDOVIĆ

Homogeneous multiprocessor systems are usually modelled by undirected graphs. Vertices of these graphs represent the processors, while edges denote the connection links between adjacent processors. Let G be a graph with diameter D, maximum vertex degree Δ, the largest eigenvalue λ1 and m distinct eigenvalues. The products mΔ and (D+1)λ1 are called the tightness of G of the first and second type, respectively. In recent literature it was suggested that graphs with a small tightness of the first type are good models for the multiprocessor interconnection networks. In a previous paper we studied these and some other types of tightness and some related graph invariants and demonstrated their usefulness in the analysis of multiprocessor interconnection networks. We proved that the number of connected graphs with a bounded tightness is finite. In this paper we determine explicitly graphs with tightness values not exceeding 9. There are 69 such graphs and they contain up to 10 vertices. In addition we identify graphs with minimal tightness values when the number of vertices is n = 2,…, 10.


1992 ◽  
Vol 8 (5) ◽  
pp. 485-500 ◽  
Author(s):  
Bernard Menezes ◽  
Allen M. Johnson ◽  
Miroslaw Malek ◽  
Roy Jenevein ◽  
Kitty H. Yau

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