Metrics for Single-Edged Graphs over a Fixed Set of Vertices

Graphs have powerful representations of all kinds of theoretical or experimental mathematical objects. A technique to measure the distance between graphs has become an important issue. In this article, we show how to define distance functions measuring the distance between graphs with directed edges...

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Main Author: Ray-Ming Chen
Format: Article
Language:English
Published: MDPI AG 2018-10-01
Series:Mathematical and Computational Applications
Subjects:
Online Access:https://www.mdpi.com/2297-8747/23/4/66
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author Ray-Ming Chen
author_facet Ray-Ming Chen
author_sort Ray-Ming Chen
collection DOAJ
description Graphs have powerful representations of all kinds of theoretical or experimental mathematical objects. A technique to measure the distance between graphs has become an important issue. In this article, we show how to define distance functions measuring the distance between graphs with directed edges over a fixed set of named and unnamed vertices, respectively. Furthermore, we show how to implement these distance functions via computational matrix operations.
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spelling doaj.art-606a24a468a442d986a073f0fb8049522022-12-21T18:52:30ZengMDPI AGMathematical and Computational Applications2297-87472018-10-012346610.3390/mca23040066mca23040066Metrics for Single-Edged Graphs over a Fixed Set of VerticesRay-Ming Chen0School of Mathematics and Statistics, Baise University, Baise 533000, ChinaGraphs have powerful representations of all kinds of theoretical or experimental mathematical objects. A technique to measure the distance between graphs has become an important issue. In this article, we show how to define distance functions measuring the distance between graphs with directed edges over a fixed set of named and unnamed vertices, respectively. Furthermore, we show how to implement these distance functions via computational matrix operations.https://www.mdpi.com/2297-8747/23/4/66graphsmetricsverticesdirected edges
spellingShingle Ray-Ming Chen
Metrics for Single-Edged Graphs over a Fixed Set of Vertices
Mathematical and Computational Applications
graphs
metrics
vertices
directed edges
title Metrics for Single-Edged Graphs over a Fixed Set of Vertices
title_full Metrics for Single-Edged Graphs over a Fixed Set of Vertices
title_fullStr Metrics for Single-Edged Graphs over a Fixed Set of Vertices
title_full_unstemmed Metrics for Single-Edged Graphs over a Fixed Set of Vertices
title_short Metrics for Single-Edged Graphs over a Fixed Set of Vertices
title_sort metrics for single edged graphs over a fixed set of vertices
topic graphs
metrics
vertices
directed edges
url https://www.mdpi.com/2297-8747/23/4/66
work_keys_str_mv AT raymingchen metricsforsingleedgedgraphsoverafixedsetofvertices