Summary of how mathematicians have been able to reduce the number of maps to check in the Four Color theorem
I'm doing an essay on the effectiveness of the ability of computers to help prove the Four Color Theorem. I've looked a lot online but I have not found a good resource specifically answering how mathematicians have been able to reduce the number of maps to check. I also don't have any good resources on the actual algorithm Haken-appel has used. If someone can help provide me some resources or just summarize the answers that would be really helpful.
graph-theory
asked Dec 1 '18 at 14:11
Plzhelp
113
add a comment |
I'm doing an essay on the effectiveness of the ability of computers to help prove the Four Color Theorem. I've looked a lot online but I have not found a good resource specifically answering how mathematicians have been able to reduce the number of maps to check. I also don't have any good resources on the actual algorithm Haken-appel has used. If someone can help provide me some resources or just summarize the answers that would be really helpful.
graph-theory
asked Dec 1 '18 at 14:11
Plzhelp
113
If you do not get an answer here, perhaps try also mathoverflow.net
– Tortoise
Dec 1 '18 at 14:17
@Tortoise Sigh, no luck there, nobody would provide help.
– Plzhelp
Dec 2 '18 at 16:44
Yes, I have read the comments there. Strange. Sometimes I understand what is said. Sometimes not. Anyways. I am no expert on the 4-colour-theorem. Perhaps check out "ams.org/journals/era/1996-02-01/S1079-6762-96-00003-0/…". If this does not help you, then - perhaps - you have to conclude that the specific of "how" the reductio nof maps was actually done is not so easy to find out. Good luck.
– Tortoise
Dec 3 '18 at 14:38
@Tortoise Thanks man, at least you tried. I guess I'll just read along and if I get stuck I'll ask here again. Thanks for the luck, hope good fortune comes in your mathematical career :)
– Plzhelp
Dec 3 '18 at 18:04
You are very kind! I wish the same to you.
– Tortoise
Dec 4 '18 at 6:20
add a comment |
I'm doing an essay on the effectiveness of the ability of computers to help prove the Four Color Theorem. I've looked a lot online but I have not found a good resource specifically answering how mathematicians have been able to reduce the number of maps to check. I also don't have any good resources on the actual algorithm Haken-appel has used. If someone can help provide me some resources or just summarize the answers that would be really helpful.
graph-theory
asked Dec 1 '18 at 14:11
Plzhelp
113
I'm doing an essay on the effectiveness of the ability of computers to help prove the Four Color Theorem. I've looked a lot online but I have not found a good resource specifically answering how mathematicians have been able to reduce the number of maps to check. I also don't have any good resources on the actual algorithm Haken-appel has used. If someone can help provide me some resources or just summarize the answers that would be really helpful.
graph-theory
graph-theory
asked Dec 1 '18 at 14:11
Plzhelp
113
asked Dec 1 '18 at 14:11
Plzhelp
113
asked Dec 1 '18 at 14:11
Plzhelp
113
asked Dec 1 '18 at 14:11
Plzhelp
113
asked Dec 1 '18 at 14:11
Plzhelp
113
113
If you do not get an answer here, perhaps try also mathoverflow.net
– Tortoise
Dec 1 '18 at 14:17
@Tortoise Sigh, no luck there, nobody would provide help.
– Plzhelp
Dec 2 '18 at 16:44
Yes, I have read the comments there. Strange. Sometimes I understand what is said. Sometimes not. Anyways. I am no expert on the 4-colour-theorem. Perhaps check out "ams.org/journals/era/1996-02-01/S1079-6762-96-00003-0/…". If this does not help you, then - perhaps - you have to conclude that the specific of "how" the reductio nof maps was actually done is not so easy to find out. Good luck.
– Tortoise
Dec 3 '18 at 14:38
@Tortoise Thanks man, at least you tried. I guess I'll just read along and if I get stuck I'll ask here again. Thanks for the luck, hope good fortune comes in your mathematical career :)
– Plzhelp
Dec 3 '18 at 18:04
You are very kind! I wish the same to you.
– Tortoise
Dec 4 '18 at 6:20
add a comment |
If you do not get an answer here, perhaps try also mathoverflow.net
– Tortoise
Dec 1 '18 at 14:17
@Tortoise Sigh, no luck there, nobody would provide help.
– Plzhelp
Dec 2 '18 at 16:44
Yes, I have read the comments there. Strange. Sometimes I understand what is said. Sometimes not. Anyways. I am no expert on the 4-colour-theorem. Perhaps check out "ams.org/journals/era/1996-02-01/S1079-6762-96-00003-0/…". If this does not help you, then - perhaps - you have to conclude that the specific of "how" the reductio nof maps was actually done is not so easy to find out. Good luck.
– Tortoise
Dec 3 '18 at 14:38
@Tortoise Thanks man, at least you tried. I guess I'll just read along and if I get stuck I'll ask here again. Thanks for the luck, hope good fortune comes in your mathematical career :)
– Plzhelp
Dec 3 '18 at 18:04
You are very kind! I wish the same to you.
– Tortoise
Dec 4 '18 at 6:20
If you do not get an answer here, perhaps try also mathoverflow.net
– Tortoise
Dec 1 '18 at 14:17
If you do not get an answer here, perhaps try also mathoverflow.net
– Tortoise
Dec 1 '18 at 14:17
@Tortoise Sigh, no luck there, nobody would provide help.
– Plzhelp
Dec 2 '18 at 16:44
@Tortoise Sigh, no luck there, nobody would provide help.
– Plzhelp
Dec 2 '18 at 16:44
Yes, I have read the comments there. Strange. Sometimes I understand what is said. Sometimes not. Anyways. I am no expert on the 4-colour-theorem. Perhaps check out "ams.org/journals/era/1996-02-01/S1079-6762-96-00003-0/…". If this does not help you, then - perhaps - you have to conclude that the specific of "how" the reductio nof maps was actually done is not so easy to find out. Good luck.
– Tortoise
Dec 3 '18 at 14:38
Yes, I have read the comments there. Strange. Sometimes I understand what is said. Sometimes not. Anyways. I am no expert on the 4-colour-theorem. Perhaps check out "ams.org/journals/era/1996-02-01/S1079-6762-96-00003-0/…". If this does not help you, then - perhaps - you have to conclude that the specific of "how" the reductio nof maps was actually done is not so easy to find out. Good luck.
– Tortoise
Dec 3 '18 at 14:38
@Tortoise Thanks man, at least you tried. I guess I'll just read along and if I get stuck I'll ask here again. Thanks for the luck, hope good fortune comes in your mathematical career :)
– Plzhelp
Dec 3 '18 at 18:04
@Tortoise Thanks man, at least you tried. I guess I'll just read along and if I get stuck I'll ask here again. Thanks for the luck, hope good fortune comes in your mathematical career :)
– Plzhelp
Dec 3 '18 at 18:04
You are very kind! I wish the same to you.
– Tortoise
Dec 4 '18 at 6:20
You are very kind! I wish the same to you.
– Tortoise
Dec 4 '18 at 6:20
add a comment |
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If you do not get an answer here, perhaps try also mathoverflow.net
– Tortoise
Dec 1 '18 at 14:17
@Tortoise Sigh, no luck there, nobody would provide help.
– Plzhelp
Dec 2 '18 at 16:44
Yes, I have read the comments there. Strange. Sometimes I understand what is said. Sometimes not. Anyways. I am no expert on the 4-colour-theorem. Perhaps check out "ams.org/journals/era/1996-02-01/S1079-6762-96-00003-0/…". If this does not help you, then - perhaps - you have to conclude that the specific of "how" the reductio nof maps was actually done is not so easy to find out. Good luck.
– Tortoise
Dec 3 '18 at 14:38
@Tortoise Thanks man, at least you tried. I guess I'll just read along and if I get stuck I'll ask here again. Thanks for the luck, hope good fortune comes in your mathematical career :)
– Plzhelp
Dec 3 '18 at 18:04
You are very kind! I wish the same to you.
– Tortoise
Dec 4 '18 at 6:20