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(a) An undirected simple graph has 1000 vertices of degree 6 and 200 vertices of de- gree 2. This accounts for all vertices. How many edges does it have? Work this out to a final numeric answer.

(a) An undirected simple graph has 1000 vertices of degree 6 and 200 vertices of de- gree 2. This accounts for all vertices. How many edges does it have? Work this out to a final numeric answer.

Advanced Engineering Mathematics
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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2) Parts (a) and (b) on this page are separate. (a) An undirected simple graph has 1000 vertices of degree 6 and 200 vertices of de- gree 2. This accounts for all vertices. How many edges does it have? Work this out to a final numeric answer. (b) How many directed simple graphs (no loops or multiple edges) are there on vertex set {0, 1,...,9}? Express your answer to (b) using an appropriate formula with specific numbers plugged in, such as V100! + 2, rather than evaluating it to a final numerical result.
Transcribed Image Text:2) Parts (a) and (b) on this page are separate. (a) An undirected simple graph has 1000 vertices of degree 6 and 200 vertices of de- gree 2. This accounts for all vertices. How many edges does it have? Work this out to a final numeric answer. (b) How many directed simple graphs (no loops or multiple edges) are there on vertex set {0, 1,...,9}? Express your answer to (b) using an appropriate formula with specific numbers plugged in, such as V100! + 2, rather than evaluating it to a final numerical result.
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