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Given a spatio-temporal network (ST network) where edge properties vary with time, a time-sub-interval minimum spanning tree (TSMST) is a collection of minimum spanning trees of the ST network, where each tree is associated with a time…

数据结构与算法 · 计算机科学 2010-05-24 Viswanath Gunturi , Shashi Shekhar , Arnab Bhattacharya

We present here a topological characterization of the minimal spanning tree that can be obtained by considering the price return correlations of stocks traded in a financial market. We compare the minimal spanning tree obtained from a large…

统计力学 · 物理学 2009-11-07 Giovanni Bonanno , Guido Caldarelli , Fabrizio Lillo , and Rosario N. Mantegna

We analyze a fixed panel of S\&P 500 stocks from 1996 to 2026 using complementary static and kinetic Ising models applied to daily binary open-to-close movements. The static pairwise model provides a long-run maximum-entropy summary of…

应用统计 · 统计学 2026-05-26 Sebin Oh , Marta C. Gonzáleza , Ziqi Wang

We introduce a new technique to associate a spanning tree to the average linkage cluster analysis. We term this tree as the Average Linkage Minimum Spanning Tree. We also introduce a technique to associate a value of reliability to links of…

物理与社会 · 物理学 2007-09-26 M. Tumminello , C. Coronnello , F. Lillo , S. Micciche' , R. N. Mantegna

A large collection of daily time series for 60 world currencies' exchange rates is considered. The correlation matrices are calculated and the corresponding Minimal Spanning Tree (MST) graphs are constructed for each of those currencies…

统计金融 · 定量金融 2009-11-13 A. Z. Gorski , S. Drozdz , J. Kwapien

We investigate the time series of the degree of minimum spanning trees obtained by using a correlation based clustering procedure which is starting from (i) asset return and (ii) volatility time series. The minimum spanning tree is obtained…

统计力学 · 物理学 2009-11-07 Salvatore Miccichè , Giovanni Bonanno , Fabrizio Lillo , Rosario N. Mantegna

A complete understanding of real networks requires us to understand the consequences of the uneven interaction strengths between a system's components. Here we use the minimum spanning tree (MST) to explore the effect of weight assignment…

无序系统与神经网络 · 物理学 2007-05-23 P. J. Macdonald , E. Almaas , A. -L. Barabasi

Since 2007, several contributions have tried to identify early-warning signals of the financial crisis. However, the vast majority of analyses has focused on financial systems and little theoretical work has been done on the economic…

物理与社会 · 物理学 2016-08-04 Fabio Saracco , Riccardo Di Clemente , Andrea Gabrielli , Tiziano Squartini

We present a quantitative characterisation of the fluctuations of the annualized growth rate of the real US GDP per capita growth at many scales, using a wavelet transform analysis of two data sets, quarterly data from 1947 to 2015 and…

综合金融 · 定量金融 2016-07-15 Sandro Lera , Didier Sornette

We investigate a factor that can affect the number of links of a specific stock in a network between stocks created by the minimal spanning tree (MST) method, by using individual stock data listed on the S&P500 and KOSPI. Among the common…

数据分析、统计与概率 · 物理学 2015-06-26 Cheoljun Eom , Gabjin Oh , Seunghwan Kim

The minimum spanning tree is used to study the process of market integration for a large group of national stock market indices. We show how the asset tree evolves over time and describe the dynamics of its normalized length, mean…

物理与社会 · 物理学 2008-02-23 Ricardo Coelho , Claire G. Gilmore , Brian Lucey , Peter Richmond , Stefan Hutzler

There is intense interest in understanding the stochastic and dynamical properties of the global Foreign Exchange (FX) market, whose daily transactions exceed one trillion US dollars. This is a formidable task since the FX market is…

物理与社会 · 物理学 2009-11-11 Neil F. Johnson , Mark McDonald , Omer Suleman , Stacy Williams , Sam Howison

Prolonged power outages debilitate the economy and threaten public health. Existing research is generally limited in its scope to a single event, an outage cause, or a region. Here, we provide one of the most comprehensive analyses of U.S.…

应用统计 · 统计学 2021-07-21 Aman Ankit , Zhanlin Liu , Scott B. Miles , Youngjun Choe

We demonstrate the existence of an empirical linkage between the nominal financial networks and the underlying economic fundamentals across countries. We construct the nominal return correlation networks from daily data to encapsulate…

Firms having similar business activities are correlated. We analyze two different cross-correlation matrices C constructed from (i) 30-min price fluctuations of 1000 US stocks for the 2-year period 1994-95 and (ii) 1-day price fluctuations…

统计力学 · 物理学 2008-12-02 Parameswaran Gopikrishnan , Bernd Rosenow , Vasiliki Plerou , H. Eugene Stanley

In this paper, we study the form over the minimum spanning tree problem (MST) from which we will derive an intuitively generalized model and new methods with the upper bound of runtimes of logarithm. The new pattern we made has taken…

离散数学 · 计算机科学 2017-06-26 Yong Tan

Drawing on recent contributions inferring financial interconnectedness from market data, our paper provides new insights on the evolution of the US financial industry over a long period of time by using several tools coming from network…

物理与社会 · 物理学 2018-07-04 Yérali Gandica , Marco Valerio Geraci , Sophie Béreau , Jean-Yves Gnabo

This study investigates how financial market structure reorganizes during the COVID-19 crash using a conditional p-threshold mutual information (MI) based Minimum Spanning Tree (MST) framework. We analyze nonlinear dependencies among the…

统计金融 · 定量金融 2026-01-05 Kundan Mukhia , Imran Ansari , S R Luwang , Md Nurujjaman

A star-product operation may be used to create large graphs from smaller factor graphs. Network topologies based on star-products demonstrate several advantages including low-diameter, high scalability, modularity and others. Many…

网络与互联网体系结构 · 计算机科学 2025-05-15 Kelly Isham , Laura Monroe , Kartik Lakhotia , Aleyah Dawkins , Daniel Hwang , Ales Kubicek

We investigate logarithmic price returns cross-correlations at different time horizons for a set of 25 liquid cryptocurrencies traded on the FTX digital currency exchange. We study how the structure of the Minimum Spanning Tree (MST) and…

统计金融 · 定量金融 2022-12-29 Antonio Briola , Tomaso Aste