Recognition Algorithm for Probe Interval 2-Trees

Title: Recognition Algorithm for Probe Interval 2-Trees
Identifier: fac_pubs/37
Date: 9/5/2016
Abstract: Recognition of probe interval graphs has been studied extensively. Recognition algorithms of probe interval graphs can be broken down into two types of problems: partitioned and non-partitioned. A partitioned recognition algorithm includes the probe and nonprobe partition of the vertices as part of the input, where a non-partitioned algorithm does not include the partition. Partitioned probe interval graphs can be recognized in linear-time in the edges, whereas non-partitioned probe interval graphs can be recognized in polynomial-time. Here we present a non-partitioned recognition algorithm for 2-trees, an extension of trees, that are probe interval graphs. We show that this algorithm runs in O(m) time, where m is the number of edges of a 2-tree. Currently there is no algorithm that performs as well for this problem.
Publisher: SCIENCEDOMAIN international
Language: eng
Type: Text
department or school name within institution: Mathematics
Source: British Journal of Mathematics & Computer Science
volume: 18
issue: 4
page start: 1
page end: 11
Creator: Breeann Flesch; Matthew Nabity
Subject: Probe interval graph; recognition algorithm; 2-tree; linear-time algorithm