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Matroid structure of dynamic graph model of evaporation process in a boiler system

Graph and matroid are strongly bonded to each other. In fact, a graph can be transformed to a matroid structure. In this study, we are going to to discuss on matroid and its examples and to show that the dynamic graph model of an evaporation process in a boiler system can be viewed as a matroid. The...

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Main Author: Khamis, Nur Syahidah
Format: Thesis
Language:English
Published: 2015
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/53925/25/NurSyahidahKhamisMFS2015.pdf
http://eprints.utm.my/id/eprint/53925/
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spelling my.utm.539252020-10-08T04:13:11Z http://eprints.utm.my/id/eprint/53925/ Matroid structure of dynamic graph model of evaporation process in a boiler system Khamis, Nur Syahidah QA Mathematics Graph and matroid are strongly bonded to each other. In fact, a graph can be transformed to a matroid structure. In this study, we are going to to discuss on matroid and its examples and to show that the dynamic graph model of an evaporation process in a boiler system can be viewed as a matroid. The definition of matroid based on the independence axiom is used in this study to achive the objectives that mentioned. The evaporation process model that denoted as Gs (V, E) in this study is developed using the integration of the concept of autocatalytic set (ACS) and graph theory. An Autocatalytic Set (ACS) is a set of reactions whose product catalyzes one another. In term of graph theoretic approach, ACS is a subgraph each of the nodes has one incoming link from a node belonging to the same subgraph. The model had listed about seventeen variables to represent the nodes and thirty six links which are based on the catalytic relationship among the nodes to represent the edges. 2015-03 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/53925/25/NurSyahidahKhamisMFS2015.pdf Khamis, Nur Syahidah (2015) Matroid structure of dynamic graph model of evaporation process in a boiler system. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:85481
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Khamis, Nur Syahidah
Matroid structure of dynamic graph model of evaporation process in a boiler system
description Graph and matroid are strongly bonded to each other. In fact, a graph can be transformed to a matroid structure. In this study, we are going to to discuss on matroid and its examples and to show that the dynamic graph model of an evaporation process in a boiler system can be viewed as a matroid. The definition of matroid based on the independence axiom is used in this study to achive the objectives that mentioned. The evaporation process model that denoted as Gs (V, E) in this study is developed using the integration of the concept of autocatalytic set (ACS) and graph theory. An Autocatalytic Set (ACS) is a set of reactions whose product catalyzes one another. In term of graph theoretic approach, ACS is a subgraph each of the nodes has one incoming link from a node belonging to the same subgraph. The model had listed about seventeen variables to represent the nodes and thirty six links which are based on the catalytic relationship among the nodes to represent the edges.
format Thesis
author Khamis, Nur Syahidah
author_facet Khamis, Nur Syahidah
author_sort Khamis, Nur Syahidah
title Matroid structure of dynamic graph model of evaporation process in a boiler system
title_short Matroid structure of dynamic graph model of evaporation process in a boiler system
title_full Matroid structure of dynamic graph model of evaporation process in a boiler system
title_fullStr Matroid structure of dynamic graph model of evaporation process in a boiler system
title_full_unstemmed Matroid structure of dynamic graph model of evaporation process in a boiler system
title_sort matroid structure of dynamic graph model of evaporation process in a boiler system
publishDate 2015
url http://eprints.utm.my/id/eprint/53925/25/NurSyahidahKhamisMFS2015.pdf
http://eprints.utm.my/id/eprint/53925/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:85481
_version_ 1681489450609147904
score 13.244367

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