Title

Philippine agricultural exports from 2007-2018: A visibility graph analysis

Date of Publication

2019

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics with specialization in Business Applications

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Abstract/Summary

In 2007, Lacasa et al. introduced a simple and fast computational method that converts a time series into a simple undirected graph, called a visibility graph (VG). This graph inherits several properties of the series which can then be extracted from its topological structure. The following measures were obtained: local transitivity, betweenness centrality, and closeness centrality. Further, the degree distribution was utilized to generate the Shannon Fisher plane that uses Information Theory Quanti ers such as the Normalized Shannon Entropy and Fisher Information Measure that allowed us to verify if the time series is non-stationary or not in the mean. All these graph-theoretic measures allowed us to describe a time series data and were used to determine a critical node that influences the structure of the graph.

Abstract Format

html

Language

English

Format

Electronic

Accession Number

CDTU017658

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

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