Let H be the graph below: (a) How many trees, with vertex set [7], have H as a subgraph? (b) How many graphs, with vertex set [n] and n > 7, have H as a subgraph? (c) How many graphs, with vertex set [n] and n > 7, have H as an induced subgraph?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter26: Customary (english) Units Of Measure
Section: Chapter Questions
Problem 6A: Add 432.78 + 43.278 + 4.3278.
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Let H be the graph below:

(a) How many trees, with vertex set [7], have H as a subgraph?

(b) How many graphs, with vertex set [n] and n > 7, have H as a subgraph?

(c) How many graphs, with vertex set [n] and n > 7, have H as an induced subgraph?

(d) How many trees, with vertex set [n] and n > 7, have H as a subgraph? Hint: Moon’s theorem

(e) How many trees, with vertex set [n] and n > 7, have H as an induced subgraph?

3
7
2
4
5
6
Transcribed Image Text:3 7 2 4 5 6
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