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. Suppose we have a graph with two or more vertices, with no loops (i.e. no edges that have both ends at the same vertex) and no multiple edges (i.e. each pair of vertices can be joined by at most one edge). Prove that the graph must have at least two vertices with the same degree.

. Suppose we have a graph with two or more vertices, with no loops (i.e. no edges that have both ends at the same vertex) and no multiple edges (i.e. each pair of vertices can be joined by at most one edge). Prove that the graph must have at least two vertices with the same degree.

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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Can you do question 7 please? Thanks 

7. Suppose we have a graph with two or more vertices, with no loops (i.e. no edges that have both ends at the same vertex) and no multiple edges (i.e. each pair of vertices can be joined by at most one edge). Prove that the graph must have at least two vertices with the same degree. Btw bud children ato come candy C C Each child ate 7 pieces fewer than all the other
Transcribed Image Text:7. Suppose we have a graph with two or more vertices, with no loops (i.e. no edges that have both ends at the same vertex) and no multiple edges (i.e. each pair of vertices can be joined by at most one edge). Prove that the graph must have at least two vertices with the same degree. Btw bud children ato come candy C C Each child ate 7 pieces fewer than all the other
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