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About Tutorial
This document discusses properties of graphs and planar graphs. It contains solutions to problems involving counting Hamiltonian cycles, spanning trees, minimum spanning trees, and applying Euler's formula. Key points are: - The complete graph K5 contains 12 Hamiltonian cycles. Deleting a vertex leaves K4 with 16 spanning trees, of which 12 are part of Hamiltonian cycles. - Euler's formula v - e + f = 2 is verified for a planar graph drawn in the plane without edge crossings. - A connected planar graph with all vertices of degree at least 5 must have at least 12 vertices. A planar graph with fewer than 30 edges has a vertex of degree at most 4. All planar graphs have a vertex of degree at
Detailed Information
| Author: | ['ManFang Neo'] |
|---|---|
| Publication Year: | 2012 |
| Pages: | 4 |
| Language: | English |
| Format: | |
| Price: | FREE |
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