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For a set of red and blue points in the plane, a minimum bichromatic spanning tree (MinBST) is a shortest spanning tree of the points such that every edge has a red and a blue endpoint. A MinBST can be computed in $O(n\log n)$ time where…

Computational Geometry · Computer Science 2024-09-19 Hugo A. Akitaya , Ahmad Biniaz , Erik D. Demaine , Linda Kleist , Frederick Stock , Csaba D. Tóth

In this work, we propose to use a local clustering approach based on the sparse solution technique to study the medical image, especially the lung cancer image classification task. We view images as the vertices in a weighted graph and the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Jackson Hamel , Ming-Jun Lai , Zhaiming Shen , Ye Tian

The source detection problem in network analysis involves identifying the origins of diffusion processes, such as disease outbreaks or misinformation propagation. Traditional methods often focus on single sources, whereas real-world…

Social and Information Networks · Computer Science 2025-07-14 Haomin Li , Daniel K. Sewell

We present Fast Approximate Minimum Spanning Tree (FAMST), a novel algorithm that addresses the computational challenges of constructing Minimum Spanning Trees (MSTs) for large-scale and high-dimensional datasets. FAMST utilizes a…

Data Structures and Algorithms · Computer Science 2025-07-22 Mahmood K. M. Almansoori , Miklos Telek

A novel application of machine-learning (ML) based image processing algorithms is proposed to analyze an all-sky map (ASM) obtained using the Fermi Gamma-ray Space Telescope. An attempt was made to simulate a one-year ASM from a…

High Energy Astrophysical Phenomena · Physics 2021-06-02 Shogo Sato , Jun Kataoka , Soichiro Ito , Jun'ichi Kotoku , Masato Taki , Asuka Oyama , Takaya Toyoda , Yuki Nakamura , Marino Yamamoto

We present a deterministic algorithm for computing the sensitivity of a minimum spanning tree (MST) or shortest path tree in $O(m\log\alpha(m,n))$ time, where $\alpha$ is the inverse-Ackermann function. This improves upon a long standing…

Data Structures and Algorithms · Computer Science 2014-07-09 Seth Pettie

Large-scale multi-layer networks with large numbers of nodes, edges, and layers arise across various domains, which poses a great computational challenge for the downstream analysis. In this paper, we develop an efficient randomized…

Computation · Statistics 2025-01-10 Wenqing Su , Xiao Guo , Xiangyu Chang , Ying Yang

We describe a simple, efficient, robust and fully automatic algorithm for the determination of a Multi-Gaussian Expansion (MGE) fit to galaxy images, to be used as a parametrization for the galaxy stellar surface brightness. In most cases…

Astrophysics · Physics 2011-07-18 Michele Cappellari

The origin of weakly bound objects like clusters and hypernuclei, observed in heavy-ion collisions, is of theoretical and experimental interest. It is in the focus of the experiments at RHIC and LHC since it is not evident how such weakly…

Nuclear Theory · Physics 2021-05-26 Viktar Kireyeu

Single-frame infrared small target (SIRST) detection aims at separating small targets from clutter backgrounds on infrared images. Recently, deep learning based methods have achieved promising performance on SIRST detection, but at the cost…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Boyang Li , Yingqian Wang , Longguang Wang , Fei Zhang , Ting Liu , Zaiping Lin , Wei An , Yulan Guo

We study the distributed minimum spanning tree (MST) problem, a fundamental problem in distributed computing. It is well-known that distributed MST can be solved in $\tilde{O}(D+\sqrt{n})$ rounds in the standard CONGEST model (where $n$ is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-20 John Augustine , William K. Moses , Gopal Pandurangan

A search for $\gamma$-ray emission from SNRs in the Large Magellanic Cloud (LMC) based on the detection of concentrations in the arrival direction Fermi-LAT images of photons at energies higher than 10 GeV found significant evidence for 9…

High Energy Astrophysical Phenomena · Physics 2025-05-21 Andrea Tramacere , Riccardo Campana , Enrico Massaro , Fabrizio Bocchino , Marco Miceli , Salvatore Orlando

Sampling is a widely used graph reduction technique to accelerate graph computations and simplify graph visualizations. By comprehensively analyzing the literature on graph sampling, we assume that existing algorithms cannot effectively…

Social and Information Networks · Computer Science 2020-09-17 Ying Zhao , Haojin Jiang , Qi'an Chen , Yaqi Qin , Huixuan Xie , Yitao Wu Shixia Liu , Zhiguang Zhou , Jiazhi Xia , Fangfang Zhou

The Minimum Spanning Tree Problem with Conflicts consists in finding the minimum conflict-free spanning tree of a graph, i.e., the spanning tree of minimum cost, including no pairs of edges that are in conflict. In this paper, we solve this…

Optimization and Control · Mathematics 2025-06-11 Francesco Carrabs , Martina Cerulli , Domenico Serra

In the context of algorithm theory, various studies have been conducted on spanning trees with desirable properties. In this paper, we consider the \textsc{Minimum Cover Spanning Tree} problem (MCST for short). Given a graph $G$ and a…

Data Structures and Algorithms · Computer Science 2025-12-01 Toranosuke Kokai , Akira Suzuki , Takahiro Suzuki , Yuma Tamura , Xiao Zhou

Scene graph generation aims to provide a semantic and structural description of an image, denoting the objects (with nodes) and their relationships (with edges). The best performing works to date are based on exploiting the context…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Wentong Liao , Cuiling Lan , Wenjun Zeng , Michael Ying Yang , Bodo Rosenhahn

We propose a novel statistical method to extend Fermi-LAT catalogues of high-latitude $\gamma$-ray sources below their nominal threshold. To do so, we rely on a recent determination of the differential source-count distribution of…

High Energy Astrophysical Phenomena · Physics 2024-05-16 Aurelio Amerio , Francesca Calore , Pasquale Dario Serpico , Bryan Zaldivar

At GeV energies, the sky is dominated by the interstellar emission from the Galaxy. With limited statistics and spatial resolution, accurately separating point sources is therefore challenging. Here we present the first application of deep…

We introduce a new method to determine galaxy cluster membership based solely on photometric properties. We adopt a machine learning approach to recover a cluster membership probability from galaxy photometric parameters and finally derive…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-26 P. A. A. Lopes , A. L. B. Ribeiro

Information diffusion in networks can be used to model many real-world phenomena, including rumor spreading on online social networks, epidemics in human beings, and malware on the Internet. Informally speaking, the source localization…

Social and Information Networks · Computer Science 2015-10-08 Kai Zhu , Lei Ying
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