2 3 4 8 7 The root of the Tree above is node 1. A neighbor of node X is any node which shares an edge with X (e.g. 3 and 5 are neighbors while 3 and 8 are not). A sibling of node X is any node which shares a parent with X. An ancestor of node X is any node on the unique path from X to the root of the tree. X is a descendent of Y if Y is an ancestor of X. Assume that the sibling, neighbor, ancestor and descendent relation are reflexive while the parent and child relations are not. Express the set of all the nodes which meet each of the following criteria. (a) Parent of 6 (b) Child of 1 (c) Ancestor of 8 (d) Descendent of 3 (e) Sibling of 4 (A Nodos which are neiabbors writh 1 or R and not neighbers with 5

2 3 4 8 7 The root of the Tree above is node 1. A neighbor of node X is any node which shares an edge with X (e.g. 3 and 5 are neighbors while 3 and 8 are not). A sibling of node X is any node which shares a parent with X. An ancestor of node X is any node on the unique path from X to the root of the tree. X is a descendent of Y if Y is an ancestor of X. Assume that the sibling, neighbor, ancestor and descendent relation are reflexive while the parent and child relations are not. Express the set of all the nodes which meet each of the following criteria. (a) Parent of 6 (b) Child of 1 (c) Ancestor of 8 (d) Descendent of 3 (e) Sibling of 4 (A Nodos which are neiabbors writh 1 or R and not neighbers with 5

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Tree Taxonomy
2
3
4
5
8
7
The root of the Tree above is node 1. A neighbor of node X is any node which shares an edge with X
(e.g. 3 and 5 are neighbors while 3 and 8 are not). A sibling of node X is any node which shares a
parent with X. An ancestor of node X is any node on the unique path from X to the root of the tree. X
is a descendent of Y if Y is an ancestor of X. Assume that the sibling, neighbor, ancestor and
descendent relation are reflexive while the parent and child relations are not.
Express the set of all the nodes which meet each of the following criteria.
(a) Parent of 6
(b) Child of 1
(c) Ancestor of 8
(d) Descendent of 3
(e) Sibling of 4
(f) Nodes which are neighbors with 1 or 8, and not neighbors with 5

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4. Does the graph whose adjacency matrix given by Find one if it does. 1 10 1 1 0 1 1 1 10 1 10 110 10 11 1 1 have a spanning tree?
(c) It is known that, a is the root of a tree. a is the parent of b and c. d, e, and f share the same parent, b. h is the child of c. i and j are the siblings of h. Illustrate the above information in a tree.
help me with this Discrete Mathematics
A tree diagram has two stages. Stage 1 has three nodes and stage 2 has six nodes. In stage 1, the branch from the starting position to node A is labeled 0.3. The branch from the starting position to node B is labeled 0.1. The branch from the starting position to node C is an answer blank. In stage 2, the branch from node A to node E is an answer blank. The branch from node A to node F is labeled 0.5. In stage 2, the branch from node B to node G is an answer blank. The branch from node B to node H is labeled 0.8. In stage 2, the branch from node C to node I is an answer blank. The branch from node C to node J is an answer blank. Node I is labeled P(I ∩ C) = 0.24. Node J is labeled P(J ∩ C) = 0.36.