On Crossing Numbers of Hypercubes and Cube Connected Cycles
نویسندگان
چکیده
We prove tight bounds for crossing numbers of hypercube and cube connected cyc1es (CCC) graphs.
منابع مشابه
HYPERCUBE Vs CUBE-CONNECTED CYCLES: A TOPOLOGICAL EVALUATION
Hypercubes and cube-connected cycles differ in the number of links per node which has fundamental implications on several issues including performance and ease of implementation. In this paper, we evaluate these networks with respect to a number of parameters including several topological characterizations, fault-tolerance, various broadcast and point-to-point communication primitives. In the p...
متن کاملMultilayer VLSI Layout for Interconnection Networks
Current VLSI technology allows more than two wiring layers and the number is expected to rise in future. In this paper, we show that, by designing VLSI layouts directly for an L-layer model, the layout area for a variety of networks can be reduced by a factor of about L 2 2 compared to the layout area required under a 2-layer model, and the volume and maximum wire length can be reduced by a fac...
متن کاملEfficient VLSI Layouts of Hypercubic Networks
In this paper, we present efficient VLSI layouts of several hypercubic networks. We show that an N-node hypercube and an N-node cube-connected cycles (CCC) graph can be laid out in 4N2=9 + o(N2) and 4N2=(9log22 N) + o(N2= log2 N) areas, respectively, both of which are optimal within a factor of 1:7̄+ o(1). We introduce the multilayer grid model, and present efficient layouts of hypercubes that u...
متن کاملPartial Cubes and Crossing Graphs
Partial cubes are defined as isometric subgraphs of hypercubes. For a partial cube G, its crossing graph G# is introduced as the graph whose vertices are the equivalence classes of the Djoković–Winkler relation Θ, two vertices being adjacent if they cross on a common cycle. It is shown that every graph is the crossing graph of some median graph and that a partial cube G is 2-connected if and on...
متن کاملEmbedding Cube-Connected Cycles Graphs into Faulty Hypercubes
AbstructWe consider the problem of embedding a cubeconnected cycles graph (CCC) into a hypercube with edge faults. Our main result is an algorithm that, given a l i t of faulty edges, computes an embedding of the CCC that spans all of the nodes and avoids all of the faulty edges. The algorithm has optimal running time and tolerates the maximum number of faults (in a worst-case setting). Because...
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:
- BIT
دوره 33 شماره
صفحات -
تاریخ انتشار 1993