9. In each part, either draw a graph with the given specifications or explain why no such graph exists. (a). A connected graph with seven vertices that has Euler circuit(s) but not a Hamiltonian circuit. (b). A connected graph with three vertices that has Hamiltonian circuits but not a Euler circuit. (c). A forest with 5 vertices and 4 edges. (d). A binary tree to represent expression

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
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In each part, either draw a graph with the given specifications or explain why no such graph exists.
(a). A connected graph with seven vertices that has
Euler circuit(s) but not a Hamiltonian circuit.
9.
(b). A connected graph with three vertices that has
Hamiltonian circuits but not a Euler circuit.
(c). A forest with 5 vertices and 4 edges.
(d). A binary tree to represent expression
+ d) • (e + (f – g · h)).
Transcribed Image Text:In each part, either draw a graph with the given specifications or explain why no such graph exists. (a). A connected graph with seven vertices that has Euler circuit(s) but not a Hamiltonian circuit. 9. (b). A connected graph with three vertices that has Hamiltonian circuits but not a Euler circuit. (c). A forest with 5 vertices and 4 edges. (d). A binary tree to represent expression + d) • (e + (f – g · h)).
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