Embeddings into Crossed Cubes

نویسنده

  • Emad Abuelrub
چکیده

The hypercube parallel architecture is one of the most popular interconnection networks due to many of its attractive properties and its suitability for general purpose parallel processing. An attractive version of the hypercube is the crossed cube. It preserves the important properties of the hypercube and most importantly reduces the diameter by a factor of two. In this paper, we show the ability of the crossed cube as a versatile architecture to simulate other interconnection networks efficiently. We present new schemes to embed complete binary trees, complete quad trees, and cycles into crossed cubes.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Efficient Embeddings into Hypercube-like Topologies

Embeddings of various graph classes into hypercubes have been widely studied. Almost all these classes are regularly structured graphs such as meshes, complete trees or pyramids. In this paper, we present a general method for one-to-one embeddings of irregularly structured graphs into their optimal hypercubes, based on extended edge bisectors of graphs. An extended edge bisector is an edge bise...

متن کامل

Wirelength of 1-fault hamiltonian graphs into wheels and fans

In this paper we obtain a fundamental result to find the exact wirelength of 1-fault hamiltonian graphs into wheels and fans. Using this result we compute the exact wirelength of circulant graphs, generalized petersen graphs, augmented cubes, crossed cubes, mőbius cubes, locally twisted cubes, twisted cubes, twisted n-cubes, generalized twisted cubes, hierarchical cubic networks, alternating gr...

متن کامل

Embedding a family of 2D meshes into Möbius cubes

Abstract: Möbius cubes are an important class of hypercube variants. This paper addresses how to embed a family of disjoint 2D meshes into a Möbius cube. Two major contributions of this paper are: (1) For n ≥ 1, there exists a 2 × 2 mesh that can be embedded in the n-dimensional Möbius cube with dilation 1 and expansion 1. (2) For n ≥ 4, there are two disjoint 4 × 2 meshes that can be embedded ...

متن کامل

Non-existence of nonorientable regular embeddings of n-dimensional cubes

By a regular embedding of a graph K into a surface we mean a 2-cell embedding of K into a compact connected surface with the automorphism group acting regularly on flags. Regular embeddings of the n-dimensional cubes Qn into orientable surfaces exist for any positive integer n. In contrast to this, we prove the non-existence of nonorientable regular embeddings of Qn for n > 2.

متن کامل

Node-pancyclicity and edge-pancyclicity of hypercube variants

Twisted cubes, crossed cubes, Möbius cubes, and locally twisted cubes are some of the widely studied hypercube variants. The 4-pancyclicity of twisted cubes, crossed cubes, Möbius cubes, locally twisted cubes and the 4-edgepancyclicity of crossed cubes are proven in [2, 1, 5, 10, 6] respectively. It should be noted that 4-edge-pancyclicity implies 4-node-pancyclicity which further implies 4-pan...

متن کامل

ذخیره 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 نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009