We observed that the Euler characteristic for plane connected graphs is 2. Re call, that in this definition, we count any bounded region as a face and the exterior of the plane graph as an additional face. What is the Euler charac teristic for a plane graph with k different connected components? Prove your claim. You can use the fact that a single plane connected graph has an Euler characteristic of 2
We observed that the Euler characteristic for plane connected graphs is 2. Re call, that in this definition, we count any bounded region as a face and the exterior of the plane graph as an additional face. What is the Euler charac teristic for a plane graph with k different connected components? Prove your claim. You can use the fact that a single plane connected graph has an Euler characteristic of 2
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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We observed that the Euler characteristic for plane connected graphs is 2. Re call, that in this definition, we count any bounded region as a face and the exterior of the plane graph as an additional face. What is the Euler charac teristic for a plane graph with k different connected components? Prove your claim. You can use the fact that a single plane connected graph has an Euler characteristic of 2.
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