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2) Let G be defined by V = {a,b,c} and E = {e₁,e2, e3} with e₁ = {a,b}, e2 = {a,c}, and e3 = {a,c}.

2) Let G be defined by V = {a,b,c} and E = {e₁,e2, e3} with e₁ = {a,b}, e2 = {a,c}, and e3 = {a,c}.

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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EXERCISES 11.2.11. For each of the following graphs (which may or may not be simple, and may or may not have loops), find the valency of each vertex. Determine whether or not the graph is simple, and if there is any isolated vertex. List the neighbours of a, and all edges with which a is incident. 1) Let G be defined by V = {a, b, c, d, e} and E = {e₁,e2, е3, e4, e5, e6} with e₁ = {a,c}, e₂ = {b, d}, e3 = {c, d}, e4 = {c, e}, e5 = {d, e}, and e6 = {e, e}. {a,b,c} and E = {e₁,e2, e3} with e₁ = = 2) Let G be defined by V and e3= {a,c}. 3) Let G be defined by V = {a, b, c, d} and E = {e₁,e2, €3} with e₁ = and e3= {b,c}. = {a,c}, {a,b}, e₂ = {a,b}, e₂ = = {a,c},
Transcribed Image Text:EXERCISES 11.2.11. For each of the following graphs (which may or may not be simple, and may or may not have loops), find the valency of each vertex. Determine whether or not the graph is simple, and if there is any isolated vertex. List the neighbours of a, and all edges with which a is incident. 1) Let G be defined by V = {a, b, c, d, e} and E = {e₁,e2, е3, e4, e5, e6} with e₁ = {a,c}, e₂ = {b, d}, e3 = {c, d}, e4 = {c, e}, e5 = {d, e}, and e6 = {e, e}. {a,b,c} and E = {e₁,e2, e3} with e₁ = = 2) Let G be defined by V and e3= {a,c}. 3) Let G be defined by V = {a, b, c, d} and E = {e₁,e2, €3} with e₁ = and e3= {b,c}. = {a,c}, {a,b}, e₂ = {a,b}, e₂ = = {a,c},
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