Longest Path on Interval Graphs

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

$n$: number of vertices

$m$: number of edges

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