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In each part, either draw a graph with the given specifications or explain why no such graph exists. (a). A graph with 6 vertices that has at least two circuits, one is Euler circuit, but no Hamiltonian circuțts. (b). A connected graph with 4 vertices that has three 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 6 vertices that has at least two circuits, one is Euler circuit, but no Hamiltonian circuțts. (b). A connected graph with 4 vertices that has three Hamiltonian circuits but no Euler circuits.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In each part, either draw a graph with the given specifications or explain why no such graph exists:

In each part, either draw a graph with the given specifications or explain why no such graph exists. (a). A graph with 6 vertices that has at least two circuits, one is Euler circuit, but no Hamiltonian circuțts. (b). A connected graph with 4 vertices that has three Hamiltonian circuits but no Euler circuits.
Transcribed Image Text:In each part, either draw a graph with the given specifications or explain why no such graph exists. (a). A graph with 6 vertices that has at least two circuits, one is Euler circuit, but no Hamiltonian circuțts. (b). A connected graph with 4 vertices that has three Hamiltonian circuits but no Euler circuits.
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