Consider the following graph. (Enter your answers as comma-separated lists.) A graph with 5 vertices and 7 edges is shown. Loop e1 connects vertex v1 and vertex v1. Edge e2 connects vertex v1 and vertex v2. Edge e7 connects vertex v1 and vertex v3. Loop e3 connects vertex v2 and vertex v2. Edge e6 connects vertex v2 and vertex v3. Edge e4 connects vertex v2 and vertex v5. Edge e5 connects vertex v2 and vertex v5. Vertex v4 is isolated. (a) Find all edges that are incident on v1.       (b) Find all vertices that are adjacent to v3.       (c) Find all edges that are adjacent to e1.       (d) Find all loops.       (e) Find all parallel edges.       (f) Find all isolated vertices.       (g) Find the degree of v3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following graph. (Enter your answers as comma-separated lists.)
A graph with 5 vertices and 7 edges is shown.
  • Loop e1 connects vertex v1 and vertex v1.
  • Edge e2 connects vertex v1 and vertex v2.
  • Edge e7 connects vertex v1 and vertex v3.
  • Loop e3 connects vertex v2 and vertex v2.
  • Edge e6 connects vertex v2 and vertex v3.
  • Edge e4 connects vertex v2 and vertex v5.
  • Edge e5 connects vertex v2 and vertex v5.
  • Vertex v4 is isolated.
(a)
Find all edges that are incident on v1.
 
 
 
(b)
Find all vertices that are adjacent to v3.
 
 
 
(c)
Find all edges that are adjacent to e1.
 
 
 
(d)
Find all loops.
 
 
 
(e)
Find all parallel edges.
 
 
 
(f)
Find all isolated vertices.
 
 
 
(g)
Find the degree of v3.
 
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