4.1.14. Definition. A bond is a minimal nonempty edge cut. Here "minimal" means that no proper nonempty subset is also an edge cut. We characterize bonds in connected graphs. 4.1.15. Proposition. If G is a connected graph, then an edge cut F is a bond if and only if G-F has exactly two components. My questions were : construct graphs which have, a bond with one edge a bond with two edges a bond with three edges a bond with four edges and a bond with 5 edges

4.1.14. Definition. A bond is a minimal nonempty edge cut. Here "minimal" means that no proper nonempty subset is also an edge cut. We characterize bonds in connected graphs. 4.1.15. Proposition. If G is a connected graph, then an edge cut F is a bond if and only if G-F has exactly two components. My questions were : construct graphs which have, a bond with one edge a bond with two edges a bond with three edges a bond with four edges and a bond with 5 edges

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.5: The Format Proof Of A Theorem

Problem 12E: Based upon the hypothesis of a theorem, do the drawings of different students have to be identical...

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Question

4.1.14. Definition. A bond is a minimal nonempty edge cut.
Here "minimal" means that no proper nonempty subset is also an edge cut.
We characterize bonds in connected graphs.
4.1.15. Proposition. If G is a connected graph, then an edge cut F is a bond if
and only if G - F has exactly two components.
My questions were :
construct graphs which have,
a bond with one edge
a bond with two edges
a bond with three edges
a bond with four edges
and a bond with 5 edges

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