Twisted hypercubes
WebAlso, via embedding schemes, topological relationships between hyper-stars and hypercubes, tori and odd graphs were discussed in . In particular, Lee et al . [ 25 ] showed that a regular graph HS ( 2 k , k ) can be constructed from two irregular graphs HS ( 2 k − 1 , k − 1 ) and HS ( 2 k − 1 , k ) by adding appropriate edges. WebTwisted cube was first defined by Hilbers et al. [7]. A twisted n-cube, denoted by TQ,, is a variant of n-dimensional hypercube Q~. TQ, has the same number of nodes and edges as …
Twisted hypercubes
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WebMar 24, 2024 · The hypercube is a generalization of a 3-cube to n dimensions, also called an n-cube or measure polytope. It is a regular polytope with mutually perpendicular sides, and is therefore an orthotope. … WebIn this paper, we study the fault-tolerant capability of hypercubes with respect to the hamiltonian property based on the concept of forbidden faulty sets. We show, ... The g …
Webremains constant for all hypercubes of dimension greater than 2 k . If HD(s,t) > 1 then let c I , c J , . . . , c k , WebIn this paper, we study the fault-tolerant capability of hypercubes with respect to the hamiltonian property based on the concept of forbidden faulty sets. We show, ... The g-good neighbor conditional diagnosability of twisted hypercubes under the PMC and MM* model, Appl. Math. Comput. 332 (2024) 484–492.
http://www.iaeng.org/publication/WCE2007/WCE2007_pp584-588.pdf WebMar 22, 2024 · P_k and C_k structure and substructure connectivity of hypercubes. Yihan Chen, Bicheng Zhang. Computer Science. 2024. TLDR. This paper discusses kappa …
WebBC networks are a class of networks containing a number of famous networks such as hypercubes , the Möbius cubes , crossed cubes , and locally twisted cubes as members. … lakillajacqWebOct 18, 2004 · P. Cull, S.M. Larson / Smaller diameters in hypercube-variant networks 181 5. Twisted hypercubes In table 1 we show a number of hypercube-variant networks that achieve a di- ameter of approximately (n + 1)=2 by rearranging or “twisting” channels. An example of one such network is shown in figure 2. lakilomiWebA twisted hypercube of dimension kis created from two twisted hypercubes of dimension k 1 by adding a matching joining their vertex sets, with the twisted hypercube of dimension … laki lineWebWe also construct twisted hypercubes of small radius and find the domination number of the Kneser graph K(n, k) when n> ~k 2 +kif k is even, and when n ~ ~k 2- k--!- when k is … laki liikenteen palveluistaWebBijective connection graphs (in brief, BC graphs) are a family of hypercube variants, which contains hypercubes, twisted cubes, crossed cubes, Mobius cubes, locally twisted cubes, … aspen login littleton maWebSep 1, 2002 · Following the recursive definition of the hypercube Qn, we define the augmented cube AQn. After showing that its graph is vertex‐symmetric, (2n − 1)‐regular, and (2n − 1)‐connected and that it has diameter ⌈n/2⌉, we describe optimal routing and broadcasting procedures. The augmented cube possesses several embeddable … aspen login jolietWebA New Family of Bridged and Twisted Hypercubes. 1994 • Krishnendu Mukhopadhyaya, Nabanita Das. Download Free PDF View PDF. IEEE Transactions on Computers. Conditional Connectivity Measures for Large … aspen login johnston ri