6). Add edges to Eulerize the graph (if necessary). You may only repeat edges that already exist. You may not make new edges. Letter the vertices and write the Euler circuit using the letters. 16. After a storm, the city crew inspects for trees or brush blocking the road. Find an efficient route for the neighborhood below by finding an Euler circuit. If necessary, eulerize the graph in an efficient way. 7). For each graph that has a Hamilton circuit, letter the vertices and write the circuit using the letters. Does each of these graphs have at least one Hamiltonian circuit? If so, find one. A 8). Can a graph have just one vertex with odd degree? Please answer "yes" or "no" and explain your answer in a few sentences.

CMPTR
3rd Edition
ISBN:9781337681872
Author:PINARD
Publisher:PINARD
Chapter21: Enhancing A Presentation
Section: Chapter Questions
Problem 6QY
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6). Add edges to Eulerize the graph (if necessary). You may only repeat edges that
already exist. You may not make new edges. Letter the vertices and write the Euler
circuit using the letters.
16. After a storm, the city crew inspects for trees or brush blocking the road. Find an efficient route for the neighborhood below by finding an Euler circuit.
If necessary, eulerize the graph in an efficient way.
7). For each graph that has a Hamilton circuit, letter the vertices and write the circuit
using the letters.
Does each of these graphs have at least one Hamiltonian circuit? If so, find one.
A
8). Can a graph have just one vertex with odd degree? Please answer "yes" or
"no" and explain your answer in a few sentences.
Transcribed Image Text:6). Add edges to Eulerize the graph (if necessary). You may only repeat edges that already exist. You may not make new edges. Letter the vertices and write the Euler circuit using the letters. 16. After a storm, the city crew inspects for trees or brush blocking the road. Find an efficient route for the neighborhood below by finding an Euler circuit. If necessary, eulerize the graph in an efficient way. 7). For each graph that has a Hamilton circuit, letter the vertices and write the circuit using the letters. Does each of these graphs have at least one Hamiltonian circuit? If so, find one. A 8). Can a graph have just one vertex with odd degree? Please answer "yes" or "no" and explain your answer in a few sentences.
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