CUT-SET OF ZERO DIVISOR GRAPHS COMMUTATIVE RING
Graph theory is one of the mathematical sciences, more precisely the field of combinatorics. The graph theory is also a method that is often used in some problems in real life. Some problems in real life can be modeled by the graphs. Graph theory can be compared with other fields of mathematics,...
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Online Access: | https://digilib.itb.ac.id/gdl/view/68644 |
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id-itb.:686442022-09-19T07:51:22ZCUT-SET OF ZERO DIVISOR GRAPHS COMMUTATIVE RING Candra Loekito, Handi Indonesia Final Project graph, commutative ring, zero divisors, cut-set. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/68644 Graph theory is one of the mathematical sciences, more precisely the field of combinatorics. The graph theory is also a method that is often used in some problems in real life. Some problems in real life can be modeled by the graphs. Graph theory can be compared with other fields of mathematics, such as algebra which will be used in this final project. The science of algebra that will be used is the commutative ring. The commutative ring will act as the main core in the graph, where the vertex of the graph are the zero divisors of the commutative ring, and the graph called ?(R). In this final project, we will find the cut-set of ?(R) using the theorem, and apply the theorem into a python program to realize the graph form and find the cut-set of the graph. text |
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Institut Teknologi Bandung |
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Indonesia Indonesia |
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Indonesia |
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Graph theory is one of the mathematical sciences, more precisely the field of combinatorics.
The graph theory is also a method that is often used in some problems
in real life. Some problems in real life can be modeled by the graphs. Graph theory
can be compared with other fields of mathematics, such as algebra which will be
used in this final project. The science of algebra that will be used is the commutative
ring. The commutative ring will act as the main core in the graph, where
the vertex of the graph are the zero divisors of the commutative ring, and the graph
called ?(R). In this final project, we will find the cut-set of ?(R) using the theorem,
and apply the theorem into a python program to realize the graph form and find the
cut-set of the graph. |
format |
Final Project |
author |
Candra Loekito, Handi |
spellingShingle |
Candra Loekito, Handi CUT-SET OF ZERO DIVISOR GRAPHS COMMUTATIVE RING |
author_facet |
Candra Loekito, Handi |
author_sort |
Candra Loekito, Handi |
title |
CUT-SET OF ZERO DIVISOR GRAPHS COMMUTATIVE RING |
title_short |
CUT-SET OF ZERO DIVISOR GRAPHS COMMUTATIVE RING |
title_full |
CUT-SET OF ZERO DIVISOR GRAPHS COMMUTATIVE RING |
title_fullStr |
CUT-SET OF ZERO DIVISOR GRAPHS COMMUTATIVE RING |
title_full_unstemmed |
CUT-SET OF ZERO DIVISOR GRAPHS COMMUTATIVE RING |
title_sort |
cut-set of zero divisor graphs commutative ring |
url |
https://digilib.itb.ac.id/gdl/view/68644 |
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1822933710584938496 |