anonymous
  • anonymous
Proposition: If a graph is connected by walks, then it is also connected by paths. That is, suppose any two vertices x,y ∈ V can be connected by a sequence of neighboring vertices, a walk W = v(0)v(1)...v(k) where each step is along an edge, v(i)v(i+1) ∈ E for all i, and v(0) = x , v(k) = y. In W, we may come back to the same vertex several times, but the Proposition says we can cut W down to a path P of neighboring vertices with no repeats, P = v(0)v(i1)v(i2)...v(k) which skips from vertex 0 to vertex i1 to vertex i2, etc., before finishing at v(k) = y, but each step is still along an edge.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Problem: Give an algorithm, a clear sequence of steps like a computer program, which takes the vertex sequence W as input and gives the corresponding vertex sequence P as output.
experimentX
  • experimentX
try adding a figure ... a picture's worth million words
anonymous
  • anonymous
I do not have one, that is exactly how the problem is presented to me.

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Kainui
  • Kainui
Draw a picture from the information given.
experimentX
  • experimentX
yep ... that will help to communicate as well as ... you will have better grasp of your problems

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