Longest Path on Interval Graphs: Difference between revisions

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[[File:Longest Path Problem - Longest Path on Interval Graphs - Space.png|1000px]]
[[File:Longest Path Problem - Longest Path on Interval Graphs - Space.png|1000px]]


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


[[File:Longest Path Problem - Longest Path on Interval Graphs - Pareto Frontier.png|1000px]]
[[File:Longest Path Problem - Longest Path on Interval Graphs - Pareto Frontier.png|1000px]]

Revision as of 14:46, 15 February 2023

Description

The longest path problem is the problem of finding a path of maximum length in a graph.

A graph $G$ is called interval graph if its vertices can be put in a one-to-one correspondence with a family $F$ of intervals on the real line such that two vertices are adjacent in $G$ if and only if the corresponding intervals intersect; $F$ is called an intersection model for $G$.

Parameters

No parameters found.

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Ioannidou; Kyriaki; Mertzios; George B.; Nikolopoulos; Stavros D. 2011 $O(n^{4})$ $O(n^{3})$ Exact Deterministic Time & Space

Time Complexity Graph

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Space Complexity Graph

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Time-Space Tradeoff

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