Aug 13, 1981 - suppose that d(u(j_2)s, u,_|) = d{uit, t>,) = ? (see Figure 3). In this case, consider the cycle C, in G defined by the edge w(,-2)i«,, and the uit â w( ...
2Physics and Mathematics Department (FMI), Mid Sweden University, Sundsvall, S 851-70,. Sweden ... Discrete Mathematics and Applications, 1999. 12.
[email protected]. Abstract. We improve the current complexities for maintaining a chordal graph by starting with an empty graph and repeatedly adding.
and networks [?]. ... For a majority of applications, the parameter spaces fall into the general ... parallel inference algorithms with provably good theoretic convergence .... Our work aims to generalize the typical gradient descent optimization ...
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Department of Information Engineering and Computer Science ... In this paper, we consider some shortest path related problems on interval and cir- ... length of a shortest path between any two vertices can be answered in constant .... There exists an
vertex has even degree has its ultimate origins in Euler's Seven Bridges of Königsberg problem of 1736 [10]. 1. One often very useful way to characterize a given ...
Frederic Dorn1, Eelko Penninkx2, Hans L. Bodlaender2, and Fedor. V. Fomin1 ... branch decomposition of width â of a graph G on n vertices, the maximum ...... [6] H. L. Bodlaender, A tourist guide through treewidth, Acta Cybernet., 11. (1993) ...
Frederic Dorn1, Eelko Penninkx2, Hans L. Bodlaender2, and Fedor V. Fomin1. 1 ... width l of a graph G on n vertices, it can be shown that the maximum indepen- ...... [5] H. L. Bodlaender, A tourist guide through treewidth, Acta Cybernet., ...
tices and m edges admits an additive 4-spanner with at most 2nâ2 edges ... stretch factor of H. Clearly, every additive r-spanner of G is a multiplicative.
Oct 15, 2007 - in Figure 1. Now we estimate the time complexity of our algorithm. Let n = |V |, m = |E| and k = |E \ E|. We can find an edge e in Step 2 in O(k(n + ...
Abstract. A tree t-spanner T in a graph G is a spanning tree of G such that the distance in T between every pair of vertices is at most t times their distance in G.
In this paper, we investigate the MST problem for the parallel random ac- .... 3. The EREW PRAM algorithm. The algorithm in this section is a natural ...
George CHRISTODOULOU â, Vassilis ZISSIMOPOULOS â. Abstract. ... and we propose a probabilistic O(log n)-competitive algorithm for chordal and interval graphs, proving ..... [5] B. Awerbuch, R. Gawlick, T. Leighton, and Y. Rabani. On-line ...
1 Department of Computer Science, Yangzhou University, Yangzhou 225009 ... Keywords: distance transform, parallel algorithm, image processing ã ...... that LARPBS is a powerful architecture for exploiting large degree of parallelism in a.
for parallel execution of the Я-means algorithm on a cyclic network of processors and two different ... ber of slave machines where K is the number of .... integer K. O u t pu t : K clusters ...... T enc h nical R e por t o f H e w lett P ac k a r d
Alternative approaches to using the basic SDK are MPI [10] and OpenMP [11]. Epiphany does not provide double precision float operations in hardware. As such ...
Department of Computer Science. Colorado State ... classes are defined by intersecting the comparability, co-comparability, chordal and co-chordal ... tion of the class of chordal graphs and the class of comparability graphs. Ma and. Spinrad ...
ever x â y â z, x â z. Whether the partial order is reflexive is irrelevant to our goals, so we only consider loopless graphs. The comparability relation of a partial.
Jul 20, 2015 - In the tutorial of [5], a sketch of a distributed algorithm was presented. ..... each round i (in the following Ai, denotes the set of active vertices at round i): ..... dation, Adatao, Adobe, Apple, Inc., Blue Goji, Bosch, C3Energy, C
This paper presents a parallel algorithm for sorting on any graph with a ... for parallel processing, because of its reg
Jul 20, 2015 - center. If a preceding neighbor of v, call it u, has not yet received a label ..... HP, Huawei, Informatica, Intel, Microsoft, NetApp, Pivotal, Samsung, ...
âr) can be computed in. O(sort(N)) I/Os, provided that M ⥠56r log2 B. Together with the planar embedding algorithm presented in the companion paper [27], ...
Abstract. Tolerance graphs model interval relations in such a way that intervals can tolerate a certain degree of overlap without being in conflict. This class of ...
