Recent content by James4

thanks, but how do you know which side is the largest? For example in the triangle y,b,x, any side can be largest, depending on the angles in the original triangle. So I don't see which bounds you would obtain. Btw: Do you have a solution in mind and you want to guide me there or are you also...

Hi I am not sure if I understand what you mean by "get the maximum of each distance function". Do you mean distinguishing the cases when xy, xz or yz are is the largest side?

suppose the connectivity is larger than min deg and look at the vertex v with min deg. How many elements (nodes / edges) need to be removed to disconnect v from the rest of G?

Hi chiro Thanks, for your answer. Yes I have considered this, but I don't think that they immediately apply to the problem.

Hi Given is a triangle on points x,y,z in the plane. This triangle has two points a and b on opposite sides (see Figure). I would like to show that the following inequality has to hold: \max {d(b,x), d(b,y), d(b,z)} + \max {d(a,x), d(a,y), d(a,z)} - d(b,a) > \min {d(x,y), d(x,z)...

Hello Comming from Discrete Mathematics, I have very little knowledge in Solving ODEs: I have the following equation (where E(x) is an ordinary generating function). E'(x) = \frac{(E(x)*E(x) +E(x)-x)}{2x*E(x)} with E(0) = 0 Is there any hope to solve this equation?

So is there actually something to prove here?

Hi Office_Shredder Thanks for your answer. >So if you have two groups G and H, and you look at G*H, can you identify two elements in G*H which do not commute? Thats what I meant when I wrote in the beginning that it almost follows form the definition, because it holds for any two non...

You mean the definition of the free product? As a set, the free product  G consists of all words g_1g_2.. .

g_m of arbitrary finite length m > 0, where each letter g_i belongs to a group G_i and is not the identity element of G_i , and adjacent letters g_i and g_(i+1‚) belong to...

Hello I have to show that the free product of a collection of more than one non-trivial group is non-abelian. But doesn't this just follow from the definition of the free product? Or how would you tackle this question?

Hi I don't know how to attack the following question, any hints would be appreciated: If G is a simply connected topological group and H is a discrete subgroup, then \pi_1(G/H, 1) \cong H .Thank you James