(a) Let (6, 5, 4, 3, 2, 1, ..., 1) be the graph score of a tree....
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(b) Show that if T is a tree containing at least one vertex of degree 2 then the complement of T is not Eulerian.
(c) 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.
Related Book For
Discrete Mathematics and Its Applications
ISBN: 978-0073383095
7th edition
Authors: Kenneth H. Rosen
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