Comments on "A New Family of Cayley Graph Interconnection Networks of Constant Degree Four"
نویسندگان
چکیده
Vadapalli and Srimani [2] have proposed a new family of Cayley graph interconnection networks of constant degree four. Our comments show that their proposed graph is not new but is the same as the wrap-around butterfly graph. The structural kinship of the proposed graph with the de Bruijn graph is also discussed.
منابع مشابه
Computer Science Technical Report A New Family of Cayley Graph Interconnection Networks of Constant Degree Four
We propose a new family of interconnection networks that are Cayley graphs with constant node degree 4. These graphs are regular, have logarithmic diameter and are maximally fault tolerant. We investigate different algebraic properties of these networks (including fault tolerance) and propose optimal routing algorithms. As far as we know, this is the first family of Cayley graphs of constant de...
متن کاملCayley graph connected cycles: A new class of fixed-degree interconnection networks
We introduce a new class of fixed-degree interconnection networks, called the Cayley graph connected cycles , which includes the well known cube-connected cycles as a special case. This class of networks is shown to be vertexsymmetric and maximally fault tolerant (if the given Cayley graph is maximally fault tolerant). We propose simple routing and broadcasting algorithms for these networks in ...
متن کاملCyclic-Cubes: A New Family of Interconnection Networks of Even Fixed-Degrees
We introduce a new family of interconnection networks that are Cayley graphs with xed degrees of any even number greater than or equal to 4. We call the proposed graphs cyclic-cubes because contracting some cycles in such a graph results in a generalized hypercube. These Cayley graphs have optimal fault tolerance and logarithmic diameters. For comparable number of nodes, a cyclic-cube can have ...
متن کاملComments on "Extremal Cayley Digraphs of Finite Abelian Groups" [Intercon. Networks 12 (2011), numbers 1-2, 125-135]
We comment on the paper “Extremal Cayley digraphs of finite Abelian groups” [Intercon. Networks 12 (2011), no. 1-2, 125–135]. In particular, we give some counterexamples to the results presented there, and provide a correct result for degree two.
متن کاملCayley graphs and symmetric interconnection networks
These lecture notes are on automorphism groups of Cayley graphs and their applications to optimal fault-tolerance of some interconnection networks. We first give an introduction to automorphisms of graphs and an introduction to Cayley graphs. We then discuss automorphism groups of Cayley graphs. We prove that the vertex-connectivity of edge-transitive graphs is maximum possible. We investigate ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- IEEE Trans. Parallel Distrib. Syst.
دوره 8 شماره
صفحات -
تاریخ انتشار 1996