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#1 Re: Help Me ! » Graph Theory: spanning tree, degree of consistency, trees » 2010-12-06 21:49:17

(3)
Hi;
The third example I can think of that. What do you think? Thx smile

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#2 Help Me ! » Graph Theory: spanning tree, degree of consistency, trees » 2010-12-06 21:18:46

aloha
Replies: 2

Hi; smile
I've got a couple of examples, I came across, but I can not solve. Could you help me somehow? Thanks smile

(1) It can be any finite sequence of zeros and ones of a code tree root? Justify its decision.

(2) Can you draw a 2-connected graph on the fewest number of vertices and maximum degree of two vertices
two of them, adding only that there will be no 3-edge connected graph?

(3) Draw a 2-connected graph on the fewest number of vertices, so that it was adding a single edge
3-connected graph.


...Excuse my English

#4 Re: Help Me ! » Graph theory - Math » 2010-12-05 20:38:20

Thank you for your help smile
Then I will resolve the last example ....Anybody solve it please? Thanks a lot smile

B) How many ways there is a traveling salesman in the complete graph minus one edge? (We denote such a graph Kn-xy, where xy is any strongly selected edge of a complete graph.)

#5 Help Me ! » Graph theory - Math » 2010-12-05 09:35:22

aloha
Replies: 2

Hi, I need to solve this math problem. I'm in serious troubles sad, so I want to ask, that some body can't help me. Thx a lot! smile

Graph theory
Business travelers will have the task to visit all the cities in the region (all the vertices of the graph) exactly once and return back.

    * A) How many ways there is a traveling salesman in the complete graph Kn?
    * B) How many ways there is a traveling salesman in the complete graph minus one edge? (We denote such a graph Kn-xy, where xy is any strongly selected edge of a complete graph.)

Notes: There are the order of visited cities, and starting city! For example, the graph K3, there are 6 such different paths.


....Excuse my English smile

#6 Re: Help Me ! » Combinatorics - Math :) » 2010-12-04 21:57:46

Hi bobbym;
May I ask why it works infinity? Could you please bring something more? Thanks smile

#7 Re: Help Me ! » Combinatorics - Math :) » 2010-12-04 00:13:02

bobbym, soroban, DrSteve: thank you very much smile

#8 Re: Help Me ! » Combinatorics - Math :) » 2010-12-03 21:32:41

so once again an example c) : smile
What is the maximum average value of eyes one can get with a single roll, which can be reached considering proper construction of the die?

#9 Re: Help Me ! » Combinatorics - Math :) » 2010-12-03 08:47:27

The biggest average value is due out 4 and 3/4.... 4.75 really!! smile and could you show me how you came to this result? Using a formula or what? Thanks a lot smile


.....excuse my English smile

#10 Re: Help Me ! » Combinatorics - Math :) » 2010-12-03 08:05:56

Hi bobbym smile

I would like to formulate my question better, but my English is very bad! sad I am using Google Translate tongue

My question on this part of the example:
c) What is the biggest average value of dots in one throw, which we can get at the appropriate constructions?


.....excuse my English smile

#11 Re: Help Me ! » Combinatorics - Math :) » 2010-12-03 07:21:23

Thank you for your help smile
Then I will resolve the last example c) smile ....Anybody solve it please? Thanks a lot smile

#12 Re: Help Me ! » Combinatorics - Math :) » 2010-12-03 02:00:02

Great smile
but it has not calculated the one?? smile I really have not found any competent mathematician? Thanks smile

#13 Help Me ! » Combinatorics - Math :) » 2010-12-02 23:55:11

aloha
Replies: 21

Hi, I need to solve this math problem. I'm in serious troubles sad, so I want to ask, that some body can't help me. Thx a lot! smile

We have dishonest six-sided cube. We know that number 6 drop three times more than number 1, number 5 drops two times more that number 2 and number 4 has same drop like number 3.

a) How many cubes like that exist? Describe, how they look like. (probability of each side)
b) What is the average value of dots in one throw. (result isn't number, but expression)
c) What is the biggest average value of dots in one throw, which we can get at the appropriate constructions?


.....excuse my English smile

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