Question: Graph theory - discrete math (a) Show that if T is a tree containing at least one vertex of degree 2 then the complement of

Graph theory - discrete math

(a) Show that if T is a tree containing at least one vertex of degree 2 then the complement of T is not Eulerian.

(b) Prove or disprove: Let (T, r, ) and (T, r, ) be planted trees. If (T, r) and (T, r) are isomorphic as rooted trees then (T, r, ) are (T, r, ) isomorphic as planted trees.

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