On the transition matrix of TSP

Dissertant

Naum, Jihan Hisham

University

University of Technology

Faculty

-

Department

Applied Sciences Department

University Country

Iraq

Degree

Master

Degree Date

2006

English Abstract

The group theory (especially the symmetric group Sn) appears throughout this research in several concepts : Conjugation, templates, group action and centralizer in which to solve equations that allow us to build neighborhoods and to study move methods.

Equations are given to replace conjugation moves by multiplication moves.

For 1-TSP, M-TSP we show that the transition matrix will be in three kinds 1-orbit, 2-orbit (reducible) and 2-orbit (irreducible).

The solution space of q = PX is

* r where

is centralizer and r is any specific solution, some properties of this multiplication (

*r) are explained.

Main Subjects

Mathematics

Topics

American Psychological Association (APA)

Naum, Jihan Hisham. (2006). On the transition matrix of TSP. (Master's theses Theses and Dissertations Master). University of Technology, Iraq
https://search.emarefa.net/detail/BIM-305798

Modern Language Association (MLA)

Naum, Jihan Hisham. On the transition matrix of TSP. (Master's theses Theses and Dissertations Master). University of Technology. (2006).
https://search.emarefa.net/detail/BIM-305798

American Medical Association (AMA)

Naum, Jihan Hisham. (2006). On the transition matrix of TSP. (Master's theses Theses and Dissertations Master). University of Technology, Iraq
https://search.emarefa.net/detail/BIM-305798

Language

English

Data Type

Arab Theses

Record ID

BIM-305798