Embedding quadtree structures into X-Mesh

مقدم أطروحة جامعية

Jabir, Muna

مشرف أطروحة جامعية

Bellaachia, Abd al-Ghani

الجامعة

جامعة الأخوين

الكلية

كلية الهندسة و العلوم

القسم الأكاديمي

علوم الحاسب

دولة الجامعة

المغرب

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

1997

الملخص الإنجليزي

Given an X-mcsh M and a quadtree T, we study the problem of embedding T in M to minimize the expansion, the congestion and the communication cost.

We will present a new embedding algorithm called K~embedding for quadtrees into X-mesh.

This new strategy improves the expansion cost of an existing algorithm, the 4-Basic-Unit embedding, by 33% while keeping the communication cost the same.

It also gives a constant link congestion value for every level of the quadtree which is a very uselul result if we consider the wormhole routing as a communication protocol.

Motivated by the fact that square meshes are the most used, we present a new algorithm for quadtrees into square X-mesh called S-embedding which turns out to be very efficient in temis of conununication.

It improves the communication cost of the K-embedding by 17 % while increasing the expansion cost by 4%, which is not a significant waste of space if we compare it to the gam in terms of communication.

A merge-sort application using quadtrees onto Maspar machines is implemented in order to compare the pcaformancc of the three algorithms namely, the 4-Basic-Unlt embedding, die K.-embedding, and the S-embedding.

The simulation results showed that the S-embedding has better performance than the two other algorithms.

التخصصات الرئيسية

تكنولوجيا المعلومات وعلم الحاسوب

الموضوعات

عدد الصفحات

39

قائمة المحتويات

Table of contents.

Abstract.

Abstract in Arabic.

Abstract in French.

Chapter One : Introduction.

Chapter Two : Notations and terminology.

Chapter Three : Graph embedding.

Chapter Four : Embedding quadtrees into X-mesh.

Chapter Five : Embedding quadtrees into square X-mesh.

Chapter Six : Application of quadtrees on MAsPar machines.

Chapter Seven : Concluding remarks and further work.

References.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Jabir, Muna. (1997). Embedding quadtree structures into X-Mesh. (Master's theses Theses and Dissertations Master). Al Akhawayn University, Morocco
https://search.emarefa.net/detail/BIM-645940

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Jabir, Muna. Embedding quadtree structures into X-Mesh. (Master's theses Theses and Dissertations Master). Al Akhawayn University. (1997).
https://search.emarefa.net/detail/BIM-645940

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Jabir, Muna. (1997). Embedding quadtree structures into X-Mesh. (Master's theses Theses and Dissertations Master). Al Akhawayn University, Morocco
https://search.emarefa.net/detail/BIM-645940

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-645940