39 Sectio Th I a 1 W a a a I N a Mor 0MN I a a 2 W 39 00 0 o 0 Q 1 o o 0 1 10 N 2 N 4 N 8 Figur The Nnode hypercube for N 2 4 and Two nodes are linked edge if and only if their i ID: 507849
Download Pdf The PPT/PDF document "3.1. Definitions and Properties" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
39 Sectio Th I a 1 W a a a I (N a Mor 0(M/N + I a a 2 W 3.1. Definitions and Properties 39 00 0 o 0 Q 1 \ o o 0 1 10 N 2 N 4 N 8 Figur The N-node hypercube for N = 2, 4, and Two nodes are linked edge if and only if their in precisely one bit position. Di 1 edges are shown in boldface. networ Th r-dimensional hypercube N = 2 a r = N 8 Th a dimension edge kth u uk u = u u kth kxth,, u. = a Th k a ak, 1 k N. k k 39 y-nod-nod ith ith 0 i I a (N/2). u = v = VyD? «i« N Viu N »» N-lU\o Th A y y size, o weight, a (N/ N) I node edge (u, v) (u v') H, a H o~(u) = u' o(v) = v'. automorphism a a u = k (u, k' (u v'). n ,n(k') k, a 3.1. Definitions and Properties 39 Figur Construction of a four-dimensional hypercube (b) from two three-dimensional hypercubes Dashed a matching two three-dimensional cubes. 39 Figur Two labellings of the 8-node hypercube. By relabelling appropriately, we could have mapped edge e = to any position in the network. a(x =*(i ®u[) I " (aV(log/V © U\ogN)- (Her a a B.) a a A a(x (xi © I (x I I n) 3.1. On a a 4 x 4 a