Exact GED: Difference between revisions

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[[File:Graph Edit Distance Computation - Exact GED - Space.png|1000px]]
[[File:Graph Edit Distance Computation - Exact GED - Space.png|1000px]]


== Pareto Frontier Improvements Graph ==  
== Space-Time Tradeoff Improvements ==  


[[File:Graph Edit Distance Computation - Exact GED - Pareto Frontier.png|1000px]]
[[File:Graph Edit Distance Computation - Exact GED - Pareto Frontier.png|1000px]]

Revision as of 14:37, 15 February 2023

Description

The GED of two graphs is defined as the minimum cost of an edit path between them, where an edit path is a sequence of edit operations (inserting, deleting, and relabeling vertices or edges) that transforms one graph into another. Exact GED computes the GED exactly.

Related Problems

Related: Inexact GED

Parameters

V: number of vertices in the larger of the two graphs

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
X Chen 2019 $O(VS)$ $O(wV^{2})$ Exact Deterministic Time & Space
Alberto Sanfeliu and King-Sun Fu 1983 $O(V^{3} E^{2})$ Exact Deterministic Time
Wang Y-K; Fan K-C; Horng J-T 1997 $O(V E^{2} loglogE)$ Exact Deterministic Time
Tao D; Tang X; Li X et al 2006 $O(V^{2})$ Exact Deterministic Time

Time Complexity Graph

Graph Edit Distance Computation - Exact GED - Time.png

Space Complexity Graph

Graph Edit Distance Computation - Exact GED - Space.png

Space-Time Tradeoff Improvements

Graph Edit Distance Computation - Exact GED - Pareto Frontier.png