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A recent work shows how we can optimize a tree based mode of operation for a hash function where the sizes of input message blocks and digest are the same, subject to the constraint that the involved tree structure has all its leaves at the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-28 Kevin Atighehchi

Wireless data communications in form of Short Message Service (SMS) and Wireless Access Protocols (WAP) browsers have gained global popularity, yet, not much has been done to extend the usage of these devices in electronic learning…

Other Computer Science · Computer Science 2010-03-30 Moumita Majumder , Sumit Dhar

Approximate message-passing (AMP) method is a simple and efficient framework for the linear inverse problems. In this letter, we propose a faster AMP to solve the \emph{$L_1$-Split-Analysis} for the 2D sparsity separation, which is referred…

Information Theory · Computer Science 2015-07-13 Jaewook Kang , Hyoyoung Jung , Kiseon Kim

We consider the problem of finding a subgraph of a given graph which minimizes the sum of given functions at vertices evaluated at their subgraph degrees. While the problem is NP-hard already when all functions are the same, we show that it…

Combinatorics · Mathematics 2023-05-30 Shmuel Onn

Many tasks in natural language processing, ranging from machine translation to question answering, can be reduced to the problem of matching two sentences or more generally two short texts. We propose a new approach to the problem, called…

Computation and Language · Computer Science 2015-06-15 Mingxuan Wang , Zhengdong Lu , Hang Li , Qun Liu

The increase in people's use of mobile messaging services has led to the spread of social engineering attacks like phishing, considering that spam text is one of the main factors in the dissemination of phishing attacks to steal sensitive…

Computation and Language · Computer Science 2022-05-10 Mai A. Shaaban , Yasser F. Hassan , Shawkat K. Guirguis

Compressed sensing (CS) deals with the problem of reconstructing a sparse vector from an under-determined set of observations. Approximate message passing (AMP) is a technique used in CS based on iterative thresholding and inspired by…

Signal Processing · Electrical Eng. & Systems 2019-07-12 Viktoria Schram , Ali Bereyhi , Jan-Nico Zaech , Ralf R. Müller , Wolfgang H. Gerstacker

In this paper, we present a distributed algorithm to compute various parameters of a tree such as the process number, the edge search number or the node search number and so the pathwidth. This algorithm requires n steps, an overall…

Discrete Mathematics · Computer Science 2008-12-18 David Coudert , Florian Huc , Dorian Mazauric

The min-sum (MS) algorithm is arguably the second most fundamental algorithm in the realm of message passing due to its optimality (for a tree code) with respect to the {\em block error} probability \cite{Wiberg}. There also seems to be a…

Information Theory · Computer Science 2007-07-13 Kapil Bhattad , Vishwambhar Rathi , Ruediger Urbanke

Graph pebbling is a network model for transporting discrete resources that are consumed in transit. Deciding whether a given configuration on a particular graph can reach a specified target is ${\sf NP}$-complete, even for diameter two…

Combinatorics · Mathematics 2017-01-17 Liliana Alcón , Marisa Gutierrez , Glenn Hurlbert

In this paper, we present a Branch and Bound algorithm called QuickBB for computing the treewidth of an undirected graph. This algorithm performs a search in the space of perfect elimination ordering of vertices of the graph. The algorithm…

Data Structures and Algorithms · Computer Science 2012-07-19 Vibhav Gogate , Rina Dechter

The graph edit distance is used for comparing graphs in various domains. Due to its high computational complexity it is primarily approximated. Widely-used heuristics search for an optimal assignment of vertices based on the distance…

Data Structures and Algorithms · Computer Science 2023-12-08 Franka Bause , Christian Permann , Nils M. Kriege

We show that the problem of constructing tree-structured descriptions of data layouts that are optimal with respect to space or other criteria from given sequences of displacements, can be solved in polynomial time. The problem is relevant…

Data Structures and Algorithms · Computer Science 2015-07-01 Robert Ganian , Martin Kalany , Stefan Szeider , Jesper Larsson Träff

A matching complex of a simple graph $G$ is a simplicial complex with faces given by the matchings of $G$. The topology of matching complexes is mysterious; there are few graphs for which the homotopy type is known. Marietti and Testa…

Combinatorics · Mathematics 2021-02-01 Marija Jelić Milutinović , Helen Jenne , Alex McDonough , Julianne Vega

Minimum Spanning Tree (MST) and Breadth-First Search (BFS) tree constructions are classical problems in distributed computing, traditionally studied in the message-passing model, where static nodes communicate via messages. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-25 Prabhat Kumar Chand , Manish Kumar , Anisur Rahaman Molla

Model checking is a widespread automatic formal analysis that has been successful in discovering flaws in security protocols. However existing possibilities for state space explosion still hinder analyses of complex protocols and protocol…

Cryptography and Security · Computer Science 2009-09-02 Stylianos Basagiannis , Panagiotis Katsaros , Andrew Pombortsis

Given an edge-weighted graph and a set of known seed vertices, a network scientist often desires to understand the graph relationships to explain connections between the seed vertices. When the seed set is 3 or larger Steiner minimal tree -…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-31 Tahsin Reza , Geoffrey Sanders , Roger Pearce

In This paper we present a novel approach to spam filtering and demonstrate its applicability with respect to SMS messages. Our approach requires minimum features engineering and a small set of la- belled data samples. Features are…

Computation and Language · Computer Science 2016-06-20 Noura Al Moubayed , Toby Breckon , Peter Matthews , A. Stephen McGough

Distributed algorithms for solving coupled semidefinite programs (SDPs) commonly require many iterations to converge. They also put high computational demand on the computational agents. In this paper we show that in case the coupled…

Optimization and Control · Mathematics 2015-04-30 Sina Khoshfetrat Pakazad , Anders Hansson , Martin S. Andersen , Anders Rantzer

Message-passing theories have proved to be invaluable tools in studying percolation, non-recurrent epidemics and similar dynamical processes on real-world networks. At the heart of the message-passing method is the nonbacktracking matrix…

Physics and Society · Physics 2021-11-25 G. Timár , R. A. da Costa , S. N. Dorogovtsev , J. F. F. Mendes