Large generalized cycles
نویسندگان
چکیده
منابع مشابه
Hamiltonicity of large generalized de Bruijn cycles
In this article, we determine when the large generalized de Bruijn cycles BGC(p, d, n) are Hamiltonian. These digraphs have been introduced by Gómez, Padró and Pérennes as large interconnection networks with small diameter and they are a family of generalized p-cycles. They are the Kronecker product of the generalized de Bruijn digraph GB(d, n) and the dicycle of length p, where GB(d, n) is the...
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A generalized p-cycle i s a digraph whose set of vertices i s partitioned in p parts that can be ordered in such a way that a vertex is adjacent only to vertices in the next part. T h e families of B G C ( p , d : d k ) and K G C ( p , d , dP+k + d k ) are the largest known p-cyles f o r their degree and diameter. In this paper we present routing algorithms f o r both families. Such algorithms ...
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A generalized p-cycle is a digraph whose set of vertices is partitioned in p parts that can bc ordered in such a way that a vertex is adjacent only to vertices in the next part. The families of B G C ( p , d , d ' ) and KGC(p ,d ,d "~ + d ' ) are the largest known p-cycles for their degree and diameter. [n this paper we present a lower bound for the fault-diameter of a generalized cycle. Then w...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1998
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(98)00120-6