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We propose a geometrical explanation for periodically and nonperiodically repeating fast radio bursts (FRBs) under neutron star (NS)-companion systems. We suggest a constant critical binary separation, $r_{\rm c}$, within which the…

High Energy Astrophysical Phenomena · Physics 2020-11-25 Shuang Du , Weihua Wang , Xuhao Wu , Renxin Xu

We present a novel model called One Class Minimum Spanning Tree (OCmst) for novelty detection problem that uses a Convolutional Neural Network (CNN) as deep feature extractor and graph-based model based on Minimum Spanning Tree (MST). In a…

Machine Learning · Computer Science 2020-03-31 Riccardo La Grassa , Ignazio Gallo , Nicola Landro

Fast radio bursts (FRBs) are a newly discovered class of radio transients that emerge from cosmological sources and last for $\sim$ a few milliseconds. However, their origin remains a highly debated topic in astronomy. Among the plethora of…

High Energy Astrophysical Phenomena · Physics 2023-10-31 Mohit Bhardwaj , Antonella Palmese , Ignacio Magaña Hernandez , Virginia D'Emilio , Soichiro Morisaki

We present improved learning-augmented algorithms for finding an approximate minimum spanning tree (MST) for points in an arbitrary metric space. Our work follows a recent framework called metric forest completion (MFC), where the learned…

Data Structures and Algorithms · Computer Science 2026-03-02 Nate Veldt , Thomas Stanley , Benjamin W. Priest , Trevor Steil , Keita Iwabuchi , T. S. Jayram , Grace J. Li , Geoffrey Sanders

In computer vision, we have the problem of creating graphs out of unstructured point-sets, i.e. the data graph. A common approach for this problem consists of building a triangulation which might not always lead to the best solution. Small…

Computer Vision and Pattern Recognition · Computer Science 2015-05-26 Samuel de Sousa , Walter G. Kropatsch

The Minimum Branch Vertices Spanning Tree problem aims to find a spanning tree $T$ in a given graph $G$ with the fewest branch vertices, defined as vertices with a degree three or more in $T$. This problem, known to be NP-hard, has…

Data Structures and Algorithms · Computer Science 2025-07-16 Luisa Gargano , Adele A. Rescigno

Nearly 700 fast radio burst (FRB) sources have been detected till now, among which 29 FRBs are found to burst out repeatedly. Although a firm connection between at least some FRBs and magnetars has been established, the trigger mechanism…

High Energy Astrophysical Phenomena · Physics 2023-10-31 Chen-Ran Hu , Yong-Feng Huang

Fast radio bursts (FRBs) are mysterious transient phenomena. The study of repeating FRBs may provide useful information about their nature due to their redetectability. The two most famous repeating sources are FRBs 121102 and 180916, with…

High Energy Astrophysical Phenomena · Physics 2022-03-30 Abdusattar Kurban , Yong-Feng Huang , Jin-Jun Geng , Bing Li , Fan Xu , Xu Wang , Xia Zhou , Ali Esamdin , Na Wang

The origin of fast radio bursts (FRBs) is still a mystery. One model proposed to interpret the only known repeating object, FRB 121102, is that the radio emission is generated from asteroids colliding with a highly magnetized neutron star…

High Energy Astrophysical Phenomena · Physics 2019-02-27 Jeremy L. Smallwood , Rebecca G. Martin , Bing Zhang

The empirical classification of gamma-ray bursts (GRBs) into long and short GRBs based on their durations is already firmly established. This empirical classification is generally linked to the physical classification of GRBs originating…

High Energy Astrophysical Phenomena · Physics 2023-10-17 Jia-Wei Luo , Fei-Fei Wang , Jia-Ming Zhu-Ge , Ye Li , Yuan-Chuan Zou , Bing Zhang

Fast radio bursts (FRBs) are brief, luminous pulses with unknown physical origin. The repetition pattern of FRBs contains essential information about their physical nature and emission mechanisms. Using the two largest samples of FRB…

High Energy Astrophysical Phenomena · Physics 2023-06-14 F. Y. Wang , Q. Wu , Z. G. Dai

This paper argues that repeating and apparently non-repeating Fast Radio Bursts are distinct classes of events produced by distinct classes of sources. I review the evidence for that division, and then discusses the statistics of these…

High Energy Astrophysical Phenomena · Physics 2024-09-12 J. I. Katz

A well-known open problem on the behavior of optimal paths in random graphs in the strong disorder regime, formulated by statistical physicists, and supported by a large amount of numerical evidence over the last decade [31,32,38,70] is as…

Probability · Mathematics 2024-01-15 Shankar Bhamidi , Sanchayan Sen

We present a simple and fast method for incoherent dedispersion and fast radio burst (FRB) detection based on the Hough transform, which is widely used for feature extraction in image analysis. The Hough transform maps a point in the…

Instrumentation and Methods for Astrophysics · Physics 2020-04-15 Shifan Zuo , Xuelei Chen

We present a multiband study of FRB 20180916B, a repeating source with a 16.3 day periodicity. We report the detection of 4, 1 and 7 bursts from observations spanning 3 days using upgraded Giant Metrewave Radio Telescope (300-500 MHz),…

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

Given a connected, undirected graph whose edges are labelled (or coloured), the minimum labelling spanning tree (MLST) problem seeks a spanning tree whose edges have the smallest number of distinct labels (or colours). In recent work, the…

Optimization and Control · Mathematics 2014-03-05 Sergio Consoli , Nenad Mladenovic , Jose Andres Moreno-Perez

Fast radio bursts (FRBs) are recently discovered mysterious single pulses of radio emission, mostly coming from cosmological distances ($\sim 1$ Gpc). Their short duration, $\sim 1$ ms, and large luminosity evidence coherent emission. I…

High Energy Astrophysical Phenomena · Physics 2021-03-02 Yuri Lyubarsky

It is currently not known if repeating fast radio bursts (FRBs) are fundamentally different from those that have not been seen to repeat. One striking difference between repeaters and apparent non-repeaters in the CHIME sample is that the…

High Energy Astrophysical Phenomena · Physics 2020-07-29 L. Connor , M. C. Miller , D. W. Gardenier

Fast radio bursts (FRBs) are millisecond-duration radio waves from the Universe. Even though more than 50 physical models have been proposed, the origin and physical mechanism of FRB emissions are still unknown. The classification of FRBs…

High Energy Astrophysical Phenomena · Physics 2024-10-02 Leah Ya-Ling Lin , Tetsuya Hashimoto , Tomotsugu Goto , Bjorn Jasper Raquel , Simon C. -C. Ho , Bo-Han Chen , Seong Jin Kim , Chih-Teng Ling