Ask your own question, for FREE!
Mathematics 19 Online
OpenStudy (anonymous):

okay my screen froze, continue the conjecture question here please!

OpenStudy (anonymous):

okay so after taking in the info u sent me this is what i got

OpenStudy (anonymous):

okay so after taking in the info u sent me this is what i got

OpenStudy (anonymous):

when u pick a vertecie and count the number of line segnments arround it, if the line segments all go arround it and it doesnt break then its a Euler circit......(is this right)

OpenStudy (anonymous):

when u pick a vertecie and count the number of line segnments arround it, if the line segments all go arround it and it doesnt break then its a Euler circit......(is this right)

OpenStudy (anonymous):

do u see this (did it go through)

OpenStudy (anonymous):

when u pick a vertecie and count the number of line segnments arround it, if the line segments all go arround it and it doesnt break then its a Euler circit......(is this right)

OpenStudy (anonymous):

op apperently

OpenStudy (anonymous):

You will want to refer to the vertex degrees in your conjecture.

OpenStudy (anonymous):

when u pick a vertecie and count the number of line segnments arround it, if the line segments all go arround it and it doesnt break then its a Euler circit......(is this right)

OpenStudy (anonymous):

how? like how

OpenStudy (anonymous):

If a graph is connected and every vertex has even degree, then it has AT LEAST ONE EULER CIRCUIT (usually more). Source: http://www.ctl.ua.edu/math103/euler/howcanwe.htm

OpenStudy (anonymous):

when u pick a vertecie and count the number of line segnments arround it, if the line segments all go arround it and it doesnt break then its a Euler circit......(is this right)

OpenStudy (anonymous):

could u write the conjecture? im just not seeing it when u tell me over the internet...its kinda confusing...

OpenStudy (anonymous):

when u pick a vertecie and count the number of line segnments arround it, if the line segments all go arround it and it doesnt break then its a Euler circit......(is this right)

OpenStudy (anonymous):

could u write the conjecture? im just not seeing it when u tell me over the internet...its kinda confusing...

OpenStudy (anonymous):

when u pick a vertecie and count the number of line segnments arround it, if the line segments all go arround it and it doesnt break then its a Euler circit......(is this right)

OpenStudy (anonymous):

ok how bout this, when a graph is connected at every vertecie and it doesnt break that it is an Euler circit..... how bout that?

OpenStudy (anonymous):

You might find it helpful to think of an example. In a previous diagram, you found the degree for each vertex. A had a degree of 2 B, 3 C, 3 D, 2 E, 2 and F, 2 If all the vertices had an even degree, the graph would have one or more Euler Circuits. Since your graph has two vertices with a degree of 3 (an odd number), it does NOT have a Euler Circuit.

OpenStudy (anonymous):

In the end, someone could write the conjecture for you, but if you don't understand it, then what's the point. It would be better if you wrote it.

OpenStudy (anonymous):

when u pick a vertecie and count the number of line segnments arround it, if the line segments all go arround it and it doesnt break then its a Euler circit......(is this right)

OpenStudy (anonymous):

so is what i wrote correct for the answer?

OpenStudy (anonymous):

Quote: ok how bout this, when a graph is connected at every vertecie and it doesnt break that it is an Euler circit..... how bout that? End Quote This is probably a better start than the last one you wrote.

OpenStudy (anonymous):

Now you need to get something in there about the vertex degrees.

OpenStudy (anonymous):

when u pick a vertecie and count the number of line segnments arround it, if the line segments all go arround it and it doesnt break then its a Euler circit......(is this right)

OpenStudy (anonymous):

wht? do i put in?

OpenStudy (anonymous):

See my last suggestion (i.e. use your other starting point). Your last statement is explaining how to find the degree of one vertex, not whether a graph is a Euler circuit or not.

OpenStudy (anonymous):

when u pick a vertecie and count the number of line segnments arround it, if the line segments all go arround it and it doesnt break then its a Euler circit......(is this right)

OpenStudy (anonymous):

can u just write it?

OpenStudy (anonymous):

If you want someone to write it for you, just use the one from the website: If a graph is connected and every vertex has even degree, then it has AT LEAST ONE EULER CIRCUIT (usually more). Source: http://www.ctl.ua.edu/math103/euler/howcanwe.htm

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!