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Small-world networks are networks in which the graphical diameter of the network is as small as the diameter of random graphs but whose nodes are highly clustered when compared with the ones in a random graph. Examples of small-world…

Information Theory · Computer Science 2016-11-17 Hazer Inaltekin , Mung Chiang , Harold Vincent Poor

Social Media Site (SMS) usage has grown rapidly in the last few years. This sudden increase in SMS usage creates an opportunity for data leakage which could compromise personal and/or professional life. In this work, we have reviewed…

Social and Information Networks · Computer Science 2014-09-11 Sabarathinam Chockalingam , Harjinder Singh Lallie

The Shapley value is the solution concept in cooperative game theory that is most used in both theoretical as practical settings. Unfortunately, computing the Shapley value is computationally intractable in general. This paper focuses on…

Computer Science and Game Theory · Computer Science 2022-08-30 Tom C. van der Zanden , Hans L. Bodlaender , Herbert J. M. Hamers

Topological structures such as the merge tree provide an abstract and succinct representation of scalar fields. They facilitate effective visualization and interactive exploration of feature-rich data. A merge tree captures the topology of…

Computational Geometry · Computer Science 2024-06-06 Raghavendra Sridharamurthy , Talha Bin Masood , Adhitya Kamakshidasan , Vijay Natarajan

The general communication tree embedding problem is the problem of mapping a set of communicating terminals, represented by a graph G, into the set of vertices of some physical network represented by a tree T. In the case where the vertices…

Computational Complexity · Computer Science 2016-01-13 Saber Mirzaei

This paper introduces a novel stability measure for edit distances between merge trees of piecewise linear scalar fields. We apply the new measure to various metrics introduced recently in the field of scalar field comparison in scientific…

Computational Geometry · Computer Science 2025-08-05 Florian Wetzels , Christoph Garth

We propose a privacy-preserving Naive Bayes classifier and apply it to the problem of private text classification. In this setting, a party (Alice) holds a text message, while another party (Bob) holds a classifier. At the end of the…

Cryptography and Security · Computer Science 2021-06-09 Amanda Resende , Davis Railsback , Rafael Dowsley , Anderson C. A. Nascimento , Diego F. Aranha

A shelling of a graph, viewed as an abstract simplicial complex that is pure of dimension 1, is an ordering of its edges such that every edge is adjacent to some other edges appeared previously. In this paper, we focus on complete bipartite…

Combinatorics · Mathematics 2021-02-11 Yibo Gao , Junyao Peng

We propose a new detection algorithm that uses structural relationships between senders and recipients of email as the basis for the identification of spam messages. Users and receivers are represented as vectors in their reciprocal spaces.…

This paper presents a randomized Las Vegas distributed algorithm that constructs a minimum spanning tree (MST) in weighted networks with optimal (up to polylogarithmic factors) time and message complexity. This algorithm runs in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-25 Gopal Pandurangan , Peter Robinson , Michele Scquizzato

Graphs drawn in the plane are ubiquitous, arising from data sets through a variety of methods ranging from GIS analysis to image classification to shape analysis. A fundamental problem in this type of data is comparison: given a set of such…

Computational Geometry · Computer Science 2022-10-20 Levent Batakci , Abigail Branson , Bryan Castillo , Candace Todd , Erin Wolf Chambers , Elizabeth Munch

There is a rising interest in mapping trees using satellite or aerial imagery, but there is no standardized evaluation protocol for comparing and enhancing methods. In dense canopy areas, the high variability of tree sizes and their spatial…

Computer Vision and Pattern Recognition · Computer Science 2023-11-15 Dimitri Gominski , Ankit Kariryaa , Martin Brandt , Christian Igel , Sizhuo Li , Maurice Mugabowindekwe , Rasmus Fensholt

In a recent paper, the authors proposed a new class of low-complexity iterative thresholding algorithms for reconstructing sparse signals from a small set of linear measurements \cite{DMM}. The new algorithms are broadly referred to as AMP,…

Information Theory · Computer Science 2009-11-24 David L. Donoho , Arian Maleki , Andrea Montanari

We study the problem of how well a tree metric is able to preserve the sum of pairwise distances of an arbitrary metric. This problem is closely related to low-stretch metric embeddings and is interesting by its own flavor from the line of…

Data Structures and Algorithms · Computer Science 2013-01-16 Mong-Jen Kao , Der-Tsai Lee , Dorothea Wagner

Networks and network computations have become a primary mathematical tool for analyzing the structure of many kinds of complex systems, ranging from the Internet and transportation networks to biochemical interactions and social networks. A…

Social and Information Networks · Computer Science 2023-07-11 M. E. J. Newman

We present a concept called the branch-depth of a connectivity function, that generalizes the tree-depth of graphs. Then we prove two theorems showing that this concept aligns closely with the notions of tree-depth and shrub-depth of graphs…

Combinatorics · Mathematics 2020-11-05 Matt DeVos , O-joung Kwon , Sang-il Oum

Every encoding has priori information if the encoding represents any semantic information of the unverse or object. Encoding means mapping from the unverse to the string or strings of digits. The semantic here is used in the model-theoretic…

Artificial Intelligence · Computer Science 2009-03-24 Xiuli Wang

We study local aggregation and graph analysis in distributed environments using the message passing model. We provide a flexible framework, where each of the nodes in a set $S$--which is a subset of all nodes in the network--can perform a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-24 Benjamin Dissler , Stephan Holzer , Roger Wattenhofer

We receive several essential updates on our smartphones in the form of SMS, documents, voice messages, etc. that get buried beneath the clutter of content. We often do not realize the key information without going through the full content.…

Computation and Language · Computer Science 2022-02-08 Harichandana B S S , Sumit Kumar

Building a spanning tree, minimum spanning tree (MST), and BFS tree in a distributed network are fundamental problems which are still not fully understood in terms of time and communication cost. x The first work to succeed in computing a…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-30 Ali Mashreghi , Valerie King
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