In each part, either draw a graph with the given specifications or explain why no such graph exists. (a). A graph with 4 vertices that has a Euler circuit (b). A graph with 4 vertices that has a Hamiltonian circuit but no Hamiltonian circuits. but no Euler circuits.
In each part, either draw a graph with the given specifications or explain why no such graph exists. (a). A graph with 4 vertices that has a Euler circuit (b). A graph with 4 vertices that has a Hamiltonian circuit but no Hamiltonian circuits. but no Euler circuits.
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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Discrete Math, Please do a b c and d
Transcribed Image Text:9. In each part, either draw a graph with the given specifications or explain why no such graph exists.
(a). A graph with 4 vertices that has a Euler circuit
but no Hamiltonian circuits.
(c). Tree K4,1-
(b). A graph with 4 vertices that has a Hamiltonian circuit
but no Euler circuits.
(d). A binary tree to represent expression
(de) · ƒ + (g− n) + (i + j).
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Step 1: Definitions of circuit , Euler, Hamiltonian
VIEWStep 2: Example for Euler circuit
VIEWStep 3: Example for Hamiltonian circuit
VIEWStep 4: Graph for Euler but not Hamiltonian
VIEWStep 5: Graph for Hamiltonian but not Euler
VIEWStep 6: Drawing the graph K(4,1) and binary tree for mathematical expression
VIEWStep 7: Binary tree for mathematical expression
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