Does graph theory has application in pure mathematics?
$begingroup$
I have read some part of graph theory,the question pop up in my mind, does
it has application in pure mathematics?
I mean like number theory,analysis,algebra,toplogy .... etc
Can it used for prove some problem in pure mathematics ?
Anyone has any idea ?
graph-theory
edited Mar 14 '17 at 8:56
M.Badaoui
572423
asked Mar 13 '17 at 5:24
Lingnoi401Lingnoi401
925520
$endgroup$
|
show 3 more comments
$begingroup$
I have read some part of graph theory,the question pop up in my mind, does
it has application in pure mathematics?
I mean like number theory,analysis,algebra,toplogy .... etc
Can it used for prove some problem in pure mathematics ?
Anyone has any idea ?
graph-theory
edited Mar 14 '17 at 8:56
M.Badaoui
572423
asked Mar 13 '17 at 5:24
Lingnoi401Lingnoi401
925520
$endgroup$
2
$begingroup$
A simple google on the net would lead to possible answer to your question. For instance, you can read this article
$endgroup$
– ΘΣΦGenSan
Mar 13 '17 at 5:28
1
$begingroup$
Yes for instance the four coloring theorem revolutionized how we sometimes approach solutions. It was the first theorem to use proof by cpu
$endgroup$
– Sentinel135
Mar 13 '17 at 5:28
1
$begingroup$
Representation theory of directed graphs can answer questions like saturation, positivity, and log concavity of LR coefficients which applies to algebraic combinatorics or wider representation theory.
$endgroup$
– walkar
Mar 13 '17 at 5:30
1
$begingroup$
Graphs can also be extremely useful in both group theory and constructing covering spaces in topology
$endgroup$
– user416426
Mar 13 '17 at 6:07
3
$begingroup$
Graph theory can be applied to graph theory. Please define "pure mathematics" and why graph theory isn't?
$endgroup$
– marshal craft
Mar 13 '17 at 6:15
|
show 3 more comments
$begingroup$
I have read some part of graph theory,the question pop up in my mind, does
it has application in pure mathematics?
I mean like number theory,analysis,algebra,toplogy .... etc
Can it used for prove some problem in pure mathematics ?
Anyone has any idea ?
graph-theory
edited Mar 14 '17 at 8:56
M.Badaoui
572423
asked Mar 13 '17 at 5:24
Lingnoi401Lingnoi401
925520
$endgroup$
I have read some part of graph theory,the question pop up in my mind, does
it has application in pure mathematics?
I mean like number theory,analysis,algebra,toplogy .... etc
Can it used for prove some problem in pure mathematics ?
Anyone has any idea ?
graph-theory
graph-theory
edited Mar 14 '17 at 8:56
M.Badaoui
572423
asked Mar 13 '17 at 5:24
Lingnoi401Lingnoi401
925520
edited Mar 14 '17 at 8:56
M.Badaoui
572423
asked Mar 13 '17 at 5:24
Lingnoi401Lingnoi401
925520
edited Mar 14 '17 at 8:56
M.Badaoui
572423
edited Mar 14 '17 at 8:56
M.Badaoui
572423
edited Mar 14 '17 at 8:56
M.Badaoui
572423
572423
asked Mar 13 '17 at 5:24
Lingnoi401Lingnoi401
925520
asked Mar 13 '17 at 5:24
Lingnoi401Lingnoi401
925520
asked Mar 13 '17 at 5:24
Lingnoi401Lingnoi401
925520
925520
2
$begingroup$
A simple google on the net would lead to possible answer to your question. For instance, you can read this article
$endgroup$
– ΘΣΦGenSan
Mar 13 '17 at 5:28
1
$begingroup$
Yes for instance the four coloring theorem revolutionized how we sometimes approach solutions. It was the first theorem to use proof by cpu
$endgroup$
– Sentinel135
Mar 13 '17 at 5:28
1
$begingroup$
Representation theory of directed graphs can answer questions like saturation, positivity, and log concavity of LR coefficients which applies to algebraic combinatorics or wider representation theory.
$endgroup$
– walkar
Mar 13 '17 at 5:30
1
$begingroup$
Graphs can also be extremely useful in both group theory and constructing covering spaces in topology
$endgroup$
– user416426
Mar 13 '17 at 6:07
3
$begingroup$
Graph theory can be applied to graph theory. Please define "pure mathematics" and why graph theory isn't?
$endgroup$
– marshal craft
Mar 13 '17 at 6:15
|
show 3 more comments
2
$begingroup$
A simple google on the net would lead to possible answer to your question. For instance, you can read this article
$endgroup$
– ΘΣΦGenSan
Mar 13 '17 at 5:28
1
$begingroup$
Yes for instance the four coloring theorem revolutionized how we sometimes approach solutions. It was the first theorem to use proof by cpu
$endgroup$
– Sentinel135
Mar 13 '17 at 5:28
1
$begingroup$
Representation theory of directed graphs can answer questions like saturation, positivity, and log concavity of LR coefficients which applies to algebraic combinatorics or wider representation theory.
$endgroup$
– walkar
Mar 13 '17 at 5:30
1
$begingroup$
Graphs can also be extremely useful in both group theory and constructing covering spaces in topology
$endgroup$
– user416426
Mar 13 '17 at 6:07
3
$begingroup$
Graph theory can be applied to graph theory. Please define "pure mathematics" and why graph theory isn't?
$endgroup$
– marshal craft
Mar 13 '17 at 6:15
2
2
$begingroup$
A simple google on the net would lead to possible answer to your question. For instance, you can read this article
$endgroup$
– ΘΣΦGenSan
Mar 13 '17 at 5:28
$begingroup$
A simple google on the net would lead to possible answer to your question. For instance, you can read this article
$endgroup$
– ΘΣΦGenSan
Mar 13 '17 at 5:28
1
1
$begingroup$
Yes for instance the four coloring theorem revolutionized how we sometimes approach solutions. It was the first theorem to use proof by cpu
$endgroup$
– Sentinel135
Mar 13 '17 at 5:28
$begingroup$
Yes for instance the four coloring theorem revolutionized how we sometimes approach solutions. It was the first theorem to use proof by cpu
$endgroup$
– Sentinel135
Mar 13 '17 at 5:28
1
1
$begingroup$
Representation theory of directed graphs can answer questions like saturation, positivity, and log concavity of LR coefficients which applies to algebraic combinatorics or wider representation theory.
$endgroup$
– walkar
Mar 13 '17 at 5:30
$begingroup$
Representation theory of directed graphs can answer questions like saturation, positivity, and log concavity of LR coefficients which applies to algebraic combinatorics or wider representation theory.
$endgroup$
– walkar
Mar 13 '17 at 5:30
1
1
$begingroup$
Graphs can also be extremely useful in both group theory and constructing covering spaces in topology
$endgroup$
– user416426
Mar 13 '17 at 6:07
$begingroup$
Graphs can also be extremely useful in both group theory and constructing covering spaces in topology
$endgroup$
– user416426
Mar 13 '17 at 6:07
3
3
$begingroup$
Graph theory can be applied to graph theory. Please define "pure mathematics" and why graph theory isn't?
$endgroup$
– marshal craft
Mar 13 '17 at 6:15
$begingroup$
Graph theory can be applied to graph theory. Please define "pure mathematics" and why graph theory isn't?
$endgroup$
– marshal craft
Mar 13 '17 at 6:15
|
show 3 more comments
1 Answer
1
active
oldest
votes
$begingroup$
Graph Theory should be Pure Mathematics because we can study its elements in the way we would study any other geometric object in Geometry. Things get out of control when people call Inequalities Applied Mathematics or Analysis of Convex Functions Convex Analysis, but they do that... In my point of view, Inequalities and Convex Analysis are a horrendous mistake. An inequality involving Real Analysis should be studied inside of Real Analysis: if we call that inequalities, then it is a branch of Analysis, not Applied Mathematics. If we study a real convex function, that could be inside of Real Analysis. In the same way, Graph Theory should be inside of Geometry if what we are doing there is dealing with geometric objects in the traditional way: studying the shape, producing reasoning that leads to calculations, and so on.
answered Dec 21 '18 at 2:39
Marcia PinheiroMarcia Pinheiro
1
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add a comment |
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$begingroup$
Graph Theory should be Pure Mathematics because we can study its elements in the way we would study any other geometric object in Geometry. Things get out of control when people call Inequalities Applied Mathematics or Analysis of Convex Functions Convex Analysis, but they do that... In my point of view, Inequalities and Convex Analysis are a horrendous mistake. An inequality involving Real Analysis should be studied inside of Real Analysis: if we call that inequalities, then it is a branch of Analysis, not Applied Mathematics. If we study a real convex function, that could be inside of Real Analysis. In the same way, Graph Theory should be inside of Geometry if what we are doing there is dealing with geometric objects in the traditional way: studying the shape, producing reasoning that leads to calculations, and so on.
answered Dec 21 '18 at 2:39
Marcia PinheiroMarcia Pinheiro
1
$endgroup$
add a comment |
$begingroup$
Graph Theory should be Pure Mathematics because we can study its elements in the way we would study any other geometric object in Geometry. Things get out of control when people call Inequalities Applied Mathematics or Analysis of Convex Functions Convex Analysis, but they do that... In my point of view, Inequalities and Convex Analysis are a horrendous mistake. An inequality involving Real Analysis should be studied inside of Real Analysis: if we call that inequalities, then it is a branch of Analysis, not Applied Mathematics. If we study a real convex function, that could be inside of Real Analysis. In the same way, Graph Theory should be inside of Geometry if what we are doing there is dealing with geometric objects in the traditional way: studying the shape, producing reasoning that leads to calculations, and so on.
answered Dec 21 '18 at 2:39
Marcia PinheiroMarcia Pinheiro
1
$endgroup$
add a comment |
$begingroup$
Graph Theory should be Pure Mathematics because we can study its elements in the way we would study any other geometric object in Geometry. Things get out of control when people call Inequalities Applied Mathematics or Analysis of Convex Functions Convex Analysis, but they do that... In my point of view, Inequalities and Convex Analysis are a horrendous mistake. An inequality involving Real Analysis should be studied inside of Real Analysis: if we call that inequalities, then it is a branch of Analysis, not Applied Mathematics. If we study a real convex function, that could be inside of Real Analysis. In the same way, Graph Theory should be inside of Geometry if what we are doing there is dealing with geometric objects in the traditional way: studying the shape, producing reasoning that leads to calculations, and so on.
answered Dec 21 '18 at 2:39
Marcia PinheiroMarcia Pinheiro
1
$endgroup$
Graph Theory should be Pure Mathematics because we can study its elements in the way we would study any other geometric object in Geometry. Things get out of control when people call Inequalities Applied Mathematics or Analysis of Convex Functions Convex Analysis, but they do that... In my point of view, Inequalities and Convex Analysis are a horrendous mistake. An inequality involving Real Analysis should be studied inside of Real Analysis: if we call that inequalities, then it is a branch of Analysis, not Applied Mathematics. If we study a real convex function, that could be inside of Real Analysis. In the same way, Graph Theory should be inside of Geometry if what we are doing there is dealing with geometric objects in the traditional way: studying the shape, producing reasoning that leads to calculations, and so on.
answered Dec 21 '18 at 2:39
Marcia PinheiroMarcia Pinheiro
1
answered Dec 21 '18 at 2:39
Marcia PinheiroMarcia Pinheiro
1
answered Dec 21 '18 at 2:39
Marcia PinheiroMarcia Pinheiro
1
answered Dec 21 '18 at 2:39
Marcia PinheiroMarcia Pinheiro
1
1
add a comment |
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2
$begingroup$
A simple google on the net would lead to possible answer to your question. For instance, you can read this article
$endgroup$
– ΘΣΦGenSan
Mar 13 '17 at 5:28
1
$begingroup$
Yes for instance the four coloring theorem revolutionized how we sometimes approach solutions. It was the first theorem to use proof by cpu
$endgroup$
– Sentinel135
Mar 13 '17 at 5:28
1
$begingroup$
Representation theory of directed graphs can answer questions like saturation, positivity, and log concavity of LR coefficients which applies to algebraic combinatorics or wider representation theory.
$endgroup$
– walkar
Mar 13 '17 at 5:30
1
$begingroup$
Graphs can also be extremely useful in both group theory and constructing covering spaces in topology
$endgroup$
– user416426
Mar 13 '17 at 6:07
3
$begingroup$
Graph theory can be applied to graph theory. Please define "pure mathematics" and why graph theory isn't?
$endgroup$
– marshal craft
Mar 13 '17 at 6:15