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In a highly interdependent economic world, the nature of relationships between financial entities is becoming an increasingly important area of study. Recently, many studies have shown the usefulness of minimal spanning trees (MST) in…

Statistical Finance · Quantitative Finance 2013-08-19 Zeyu Zheng , Kazuko Yamasaki , Joel N. Tenenbaum , H. Eugene Stanley

Recent years have witnessed a surge of biological interest in the minimum spanning tree (MST) problem for its relevance to automatic model construction using the distances between data points. Despite the increasing use of MST algorithms…

Quantitative Methods · Quantitative Biology 2015-11-02 Momoko Hayamizu , Hiroshi Endo , Kenji Fukumizu

Minimum spanning trees (MSTs) provide a convenient representation of datasets in numerous pattern recognition activities. Moreover, they are relatively fast to compute. In this paper, we quantify the extent to which they are meaningful in…

Machine Learning · Statistics 2025-10-16 Marek Gagolewski , Anna Cena , Maciej Bartoszuk , Łukasz Brzozowski

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…

Discrete Mathematics · Computer Science 2017-06-26 Yong Tan

This paper is part of the research on the interlinkages between insurers and their contribution to systemic risk on the insurance market. Its main purpose is to present the results of the analysis of linkage dynamics and systemic risk in…

Statistical Finance · Quantitative Finance 2019-08-23 Anna Denkowska , Stanisław Wanat

Using a portfolio of stocks from the London Stock Exchange FTSE100 index (FTSE), we study both the time dependence of their correlations and the normalized tree length of the associated minimal spanning tree (MST). The first four moments of…

Physics and Society · Physics 2009-09-29 R. Coelho , S. Hutzler , P. Repetowicz , P. Richmond

Based on a recently proposed $q$-dependent detrended cross-correlation coefficient $\rho_q$, we generalize the concept of minimum spanning tree (MST) by introducing a family of $q$-dependent minimum spanning trees ($q$MST) that are…

Statistical Finance · Quantitative Finance 2017-05-19 Jaroslaw Kwapien , Pawel Oswiecimka , Marcin Forczek , Stanislaw Drozdz

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…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. J. Macdonald , E. Almaas , A. -L. Barabasi

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…

Physics and Society · Physics 2008-02-23 Ricardo Coelho , Claire G. Gilmore , Brian Lucey , Peter Richmond , Stefan Hutzler

The construction of minimum spanning trees (MSTs) from correlation matrices is an often used method to study relationships in the financial markets. However most of the work on this topic tends to use the Pearson correlation coefficient,…

Computational Engineering, Finance, and Science · Computer Science 2021-02-03 Tristan Millington , Mahesan Niranjan

Finding a minimum spanning tree (MST) for $n$ points in an arbitrary metric space is a fundamental primitive for hierarchical clustering and many other ML tasks, but this takes $\Omega(n^2)$ time to even approximate. We introduce a…

Data Structures and Algorithms · Computer Science 2025-02-19 Nate Veldt , Thomas Stanley , Benjamin W. Priest , Trevor Steil , Keita Iwabuchi , T. S. Jayram , Geoffrey Sanders

This paper introduces a novel multi-moment connectedness network approach for analyzing the interconnectedness of green financial market. Focusing on the impact of monetary policy shocks, our study reveals that connectedness within the…

General Economics · Economics 2024-10-23 Tingguo Zheng , Hongyin Zhang , Shiqi Ye

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…

Data Structures and Algorithms · Computer Science 2010-05-24 Viswanath Gunturi , Shashi Shekhar , Arnab Bhattacharya

We investigate hierarchical structures of the European countries by using debt as a percentage of Gross Domestic Product (GDP) of the countries as they change over a certain period of time. We obtain the topological properties among the…

Statistical Finance · Quantitative Finance 2015-06-22 Ersin Kantar , Bayram Deviren , Mustafa Keskin

We study the crash dynamics of the Warsaw Stock Exchange (WSE) by using the Minimal Spanning Tree (MST) networks. We find the transition of the complex network during its evolution from a (hierarchical) power law MST network, representing…

Statistical Finance · Quantitative Finance 2023-07-19 A. Sienkiewicz , T. Gubiec , R. Kutner , Z. R. Struzik

The paper investigates the effect of the label green in bond markets from the lens of the trading activity. The idea is that jumps in the dynamics of returns have a specific memory nature that can be well represented through a self-exciting…

Trading and Market Microstructure · Quantitative Finance 2023-08-24 Lorenzo Mercuri , Andrea Perchiazzo , Edit Rroji

We study the relation between the minimal spanning tree (MST) on many random points and the "near-minimal" tree which is optimal subject to the constraint that a proportion $\delta$ of its edges must be different from those of the MST.…

Probability · Mathematics 2007-07-24 David Aldous , Charles Bordenave , Marc Lelarge

We have analyzed the cross-correlations of daily fluctuations for N=6 358 US stock prices during the year 1999. From those $N(N-1)/2$ correlations coefficients, the Minimum Spanning Tree (MST) has been built. We have investigated the…

Statistical Mechanics · Physics 2007-05-23 N. Vandewalle , F. Brisbois , X. Tordoir

We seek to provide an interpretable framework for segmenting users in a population for personalized decision-making. We propose a general methodology, Market Segmentation Trees (MSTs), for learning market segmentations explicitly driven by…

Applications · Statistics 2023-01-16 Ali Aouad , Adam N. Elmachtoub , Kris J. Ferreira , Ryan McNellis

The geometric $\delta$-minimum spanning tree problem ($\delta$-MST) is the problem of finding a minimum spanning tree for a set of points in a normed vector space, such that no vertex in the tree has a degree which exceeds $\delta$, and the…

Computational Geometry · Computer Science 2019-01-28 Patrick J. Andersen , Charl J. Ras
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