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Horizontal visibility graphs are uniquely determined by their directed degree sequence

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  • O’Pella, Justin

Abstract

Horizontal visibility graphs (HVGs) are graphs generated from time (or otherwise ordered) series data. Components of the graph reveal key underlying properties of the series data that generated the graph and there are several applications that use HVGs to uncover information about series data. Recently, a bijection between the degree sequence and adjacency matrix of canonical form HVGs was established. This paper extends the relation between the degree sequence and adjacency matrix of HVGs and then presents an algorithm to uniquely construct an HVG from its directed degree sequence.

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  • O’Pella, Justin, 2019. "Horizontal visibility graphs are uniquely determined by their directed degree sequence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    • Handle: RePEc:eee:phsmap:v:536:y:2019:i:c:s0378437119305448
    DOI: 10.1016/j.physa.2019.04.159
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