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May 26th, 2016, 07:03 AM   #1
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Euler Paths and Euler Circuits

Hello,
What is what is Euler Paths and Euler Circuits?
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May 26th, 2016, 07:16 AM   #2
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Quote:
Originally Posted by MMath View Post
Hello,
What is what is Euler Paths and Euler Circuits?
Do you know about the seven bridges of Konigsberg?
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May 26th, 2016, 07:34 AM   #3
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ok yes then..
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May 26th, 2016, 07:46 AM   #4
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The point of the seven bridges of Konigsberg is to find a Eulerian path. A Eulerian path (resp. circuit) is defined as a path (resp. circuit) that traverses each edge in a graph once and only once.

You do know what graphs, paths and circuits are, right? If not, you should review these topics first...

Last edited by 123qwerty; May 26th, 2016 at 07:51 AM.
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May 26th, 2016, 08:12 AM   #5
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from where?
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May 26th, 2016, 08:23 AM   #6
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Quote:
Originally Posted by MMath View Post
from where?
Do you have a graph theory or discrete mathematics textbook?
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May 26th, 2016, 09:07 PM   #7
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tell i am watching online.
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May 26th, 2016, 09:38 PM   #8
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Quote:
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tell i am watching online.
I'm not sure what you meant by that...

Edit: Oh ok, I'm guessing you wanted me to explain these concepts. Do you know about binary relations?
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May 27th, 2016, 12:15 AM   #9
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ok you tell
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May 27th, 2016, 12:26 AM   #10
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Quote:
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ok you tell
Let's say you have a set A: {a, b, c, d, e, f}. You create another set by taking two elements at a time and arranging them in a fixed order to become ordered pairs (like the ones you're used to seeing in a Cartesian plane): For example, you can have {(a, b), (c, b), (d, e), (f, c)}. These are binary relations. Get it?

Now, get a piece of paper and put the points a, b, c, d, e, f anywhere you want. Draw an arrow from a to b, c to b, etc., according to the binary relations. That's a directed graph.
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Last edited by 123qwerty; May 27th, 2016 at 12:31 AM.
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