An Improved Linear Time Algorithm for Minimal Elimination Ordering
Recommend Documents
We design the rst e cient parallel algorithm for computing the min- imal elimination .... for the Gaussian elimination on sparse symmetric matrices (cf. Ro 73]).
plementation of XMPVO adds less than 1,000 lines of code to. MPVO. XMPVO ..... [19] M. S. Karasick, D. Lieber, L. R. Nackman, and V. T. Rajan. Visualization of ...
also in the tree representation of G1, if the root of Tx is a descendent of the root ... or a descendent of s and non descendents of s and therefore s and its parent t.
Yi Pan, Keqin Li, and Mounir Hamdi. Abstractâ The Hough ..... 4, JULY 1999. 421. [11] T. W. Kao, S. J. Horng, Y. L. Wang, and K. L. Chung, âA constant time.
For the calculation of elementary modes, the metabolites in the network ... a standard desktop PC with a Pentium 4 processor at 2.4 GHz and 512 MB. RAM.
Sep 20, 1996 - required to connect u to u0 by a polygonal path lying in P. A polygonal path which uses the minimum number of required line segments is ...
May 18, 2014 - MPM) for solving the classic Linear Ordering Problem (LOP). The MPM algorithm integrates in particular a multi-parent recombination operator ...
Telegrapher Equations [8]:. GGS «. ( GS -- R ). "The exponent to which the total number of simulation time-points is raised to obtain the execution time, within a ...
Algorithm for the Permanent of a Random (0-1). Matrix. Martin Fürerâ and Shiva Prasad Kasiviswanathan. Computer Science and Engineering, Pennsylvania ...
Sep 23, 2013 - MIT. Aaron Sidford [email protected] ... e. Its generalization, the maximum concurrent multicommodity flow problem, supplies k source-sink pairs (si .... Kelner, Miller, and Peng [10] later showed how to use more general objects ...
An Optimal Linear-Time Algorithm for. Interprocedural Register Allocation in High Level. Synthesis Using SSA Form. Philip Brisk, Member, IEEE, Ajay K. Verma, ...
Sep 4, 2008 - Mathematica Reduce. (> 12000). o-o-m. (> 780). 7.36. aMemory consumption grows to 1.1 GiB. Table 1: Timings (in seconds, on an AMD ...
Aug 12, 2016 - Email: mateusriva@ usp. br, ponti@ usp. br ... In [6] the authors propose an alternative OPF algorithm which is more ef- .... 2. Predecessor belongs to the same class and is a prototype: we .... examples, 64 features, 14 classes; ... B
A knotted graph can be represented by a plane diagram or a Gauss code. First we ... D that describe key stages of the full algorithm for drawing 3-page embeddings. .... code W. We can plot vertices A, B, C, . . . and crossings 1, 2,...,n anywhere in
Aug 13, 2013 - Chiou-Yng Lee, Senior Member, IEEE, and Chien-Ping Chang ... system consists of several processors and the communication .... nodes and can be represented as a string of n elements with ..... Let HMi. nÐ1;k be an k-ary (n Ð 1)-dimens
A graph property P is a Boolean-valued function on graphs. ...... the maximum integer such that ni n and increase the number of vertices in Fi to n by repeatedly.
graph of a symmetric matrix A. The height of the elimination tree is one re- ... Most parallel algorithms for performing sparse Cholesky factorization operate in ...... 20] S. Parter, The use of linear graphs in Gauss elimination, SIAM Rev., 3 (1961)
An improved cloud screening algorithm for skyradiometer measurements and its application to Asian dust monitoring. Hwan-Jin SONG, Hyoung-Wook CHUN, ...
algorithm (as a result, after recovery a process ... data historians or DNS (essential for the Inter- net). ..... memory: making adversaries stick to their wordâ, In Proc.
basis of 4G wireless networks. ... WiMAX network is the most attractive wireless technology .... to identify network and advertise the list of neighboring BS(s).
Network Observability. Bei Gou and Ali Abur, Senior Member, IEEE. AbstractâThis paper presents a fast method for multiple mea- surement placement for ...
of f using a "sparse variant" of Fourier's theorem, and show that our algorithm ... + 1) or [u,u], with u â Z. The method is based on the fact that, by Rolle's theorem,.
artery catheter (PAC) for cardiac output (COPAC) assessment. To fa- cilitate COAP assessment by arterial pulse waveform analysis without an external ...
and Alka Srivastava. 2. Abstract. Pair-wise or two-way interaction testing requires that for a given numbers of input parameters to the system, each possible ...
An Improved Linear Time Algorithm for Minimal Elimination Ordering
Gauss elimination. The problem is to nd a ... In this paper, a quite simple linear time algorithm for the minimal elimination ordering problem for ..... References. 1. K. Abrahamson, N. Dadoun, D. Kirkpatrick, T. Przyticka, A Simple Parallel Tree.
An Improved Linear Time Algorithm for Minimal Elimination Ordering in Planar Graphs that is Parallelizable ? Elias Dahlhaus Dept. of Computer Science University of Bonn Bonn, Germany ?? and Department of Mathematics and Department of Computer Science, University of Cologne, Cologne, Germany ???
0 Abstract We present an alternative linear time algorithm that computes an ordering that produces a ll-in that is minimal with respect to the subset relation. It is simpler than the algorithm in [6] and is easily parallelizable. The algorithm does not rely on the computation of a breadth- rst search tree.
1 Introduction One of the major problems in computational linear algebra is that of sparse Gauss elimination. The problem is to nd a pivoting, such that the number of zero entries of the original matrix that become non zero entries in the elimination process is minimized. In case of symmetric matrices, we would like to restrict pivoting along the diagonal. The problem translates to the following graph theory problem [16].
Minimum Elimination Ordering
For an ordering < on the vertices, we consider the ll-in graph G0< = (V; E 0 ) of G = (V; E ). G0< contains rst the edges in E and secondly two vertices x and y form an edge in G0< if they have a common smaller neighbor in G0< . The problem of Minimum Elimination ordering is, given a graph G = (V; E ), nd an ordering
