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Let I'(V, E) be a graph. For v E V and e E E, prove the following statements: 1-O(T – {v}) = O(r) – 1 2- S(T – {e}) = S(T') – 1 %3D 3- S(T – {v}) = S(T) – deg v |

Let I'(V, E) be a graph. For v E V and e E E, prove the following statements: 1-O(T – {v}) = O(r) – 1 2- S(T – {e}) = S(T') – 1 %3D 3- S(T – {v}) = S(T) – deg v |

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 14E
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Let P(V, E) be a graph. For v E V and e E E, prove the following statements: 1- O(T – {v}) = O(T) – 1 2- S(T – {e}) = S(T') – 1 3- S(T – {v}) = S(r) – deg v
Transcribed Image Text:Let P(V, E) be a graph. For v E V and e E E, prove the following statements: 1- O(T – {v}) = O(T) – 1 2- S(T – {e}) = S(T') – 1 3- S(T – {v}) = S(r) – deg v
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