A connected graph is called a tree if it has no circuits. (a) Find the incidence matrix
Question:
(a) Find the incidence matrix for each of the following directed trees:
(i)
(ii)
(iii)
(iv)
(b) Draw all distinct trees with 4 vertices. Assign a direction to the edges, and write down the corresponding incidence matrices.
(c) Prove that a connected graph on n vertices is a tree if and only if it has precisely n - 1 edges.
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a i ii iii iv b c Let m denote the number of edge...View the full answer
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