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Symbolic Algorithms for Token Swapping

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Parallelizing Machine Learning- Functionally: A Framework and Abstractions for Parallel Graph Processing

Philipp Haller

Implementing machine learning algorithms for large data, such as the Web graph and social networks, is challenging. Even though much research has focused on making sequential algorithms more scalable, their running times continue to be prohibitively long. ...

2011

On the Page Number of Upward Planar Directed Acyclic Graphs

Radoslav Fulek, Fabrizio Frati, Andres Jacinto Ruiz Vargas

In this paper we study the page number of upward planar directed acyclic graphs. We prove that: (I) the page number of any n-vertex upward planar triangulation G whose every maximal 4-connected component has page number k is at most min {O(k log n), O(2(k) ...

Springer-Verlag Berlin2011

Adaptive Highways on a Grid

Raffaello D'Andrea, Hajir Roozbehani

The primary objective of this paper is to introduce the adaptive highways algorithm, a path planning algorithm for vehicles moving on a grid. We consider a workspace that consists of a symmetric grid and a large number of vehicles that move on the grid to ...

Springer-Verlag Berlin2011

Opportunistic Data Collection in Sparse Wireless Sensor Networks

Jorge Miguel Dias Almeida Rodrigues Soares

Opportunistic wireless sensor networks (WSNs) have recently been proposed as solutions for many remote monitoring problems. Many such problems, including environmental monitoring, involve large deployment scenarios with lower-than-average node density, as ...

2011

Weighted Gossip: Distributed Averaging Using Non-Doubly Stochastic Matrices

Martin Vetterli, Patrick Thiran, Florence Bénézit

This paper presents a general class of gossip-based averaging algorithms, which are inspired from Uniform Gossip [1]. While Uniform Gossip works synchronously on complete graphs, weighted gossip algorithms allow asynchronous rounds and converge on any conn ...

IEEE2010

Algebraic techniques for deterministic networks

Christina Fragouli, Javad Ebrahimi Boroojeni

We here summarize some recent advances in the study of linear deterministic networks, recently proposed as approximations for wireless channels. This work started by extending the algebraic framework developed for multicasting over graphs in [1] to include ...

2010

Dominating Sets in Triangulations on Surfaces

A dominating set D of a graph G is a set such that each vertex v of G is either in the set or adjacent to a vertex in the set. Matheson and Tarjan (1996) proved that any n-vertex plane triangulation has a dominating set of size at most n/3, and conjectured ...

2010

Hypergraphic LP Relaxations for Steiner Trees

David Pritchard

We investigate hypergraphic LP relaxations for the Steiner tree problem, primarily the partition LP relaxation introduced by Koenemann et al. [Math. Programming, 2009]. Specifically, we are interested in proving upper bounds on the integrality gap of this ...

Springer2010

MARGIN: Maximal frequent subgraph mining

Ramachandra Satyanarayana Valluri

The exponential number of possible subgraphs makes the problem of frequent subgraph mining a challenge. The set of maximal frequent subgraphs is much smaller to that of the set of frequent subgraphs providing ample scope for pruning. MARGIN is a maximal su ...

2010

Blockers and transversals

Dominique de Werra, Bernard Ries, Rico Zenklusen

Given an undirected graph G = (V, E) with matching number v(G), we define d-blockers as subsets of edges B such that nu((V, E \ B)) = d. ...

2009