Graduate Studies, UNL
Embargoed Master's Theses
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First Advisor
Jitender Deogun
Date of this Version
Fall 10-22-2021
Document Type
Article
Citation
Al-saadi, O 2021, 'A novel method to find diameter on asteroidal-triple free graphs,' Master's Thesis, University of Nebraska, Lincoln.
Abstract
In the past, it has been shown that the diameter of some asteroidal triple-free (AT-free) graphs can be found in O(m^(3/2))-subquadratic time. We prove lower and upper bounds for diameter and devise a O(n^2) algorithm to find the diameter of all AT-free graphs by exploiting relative eccentricities between dominating pair nodes.
Advisor: Jitender Deogun
Comments
A THESIS Presented to the Faculty of The Graduate College at the University of Nebraska In Partial Fulfillment of Requirements For the Degree of Master of Science, Major: Computer Science, Under the Supervision of Professor Jitender Deogun: Lincoln, Nebraska: October, 2021
Copyright © 2021 Oleksiy Al-saadi