Construct a Graph Which Has an Euler Circuit, but Not

question 30

Essay

Construct a graph which has an Euler circuit, but not a Hamiltonian circuit.

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Definitions:

Lord of the Estate

A historical term referring to a noble or landowner with authority over a particular estate, including the land, buildings, and tenant workers.

Village

A small community or settlement, typically larger than a hamlet but smaller than a town, often characterized by a rural lifestyle.

Tour of France

An annual men's multiple stage bicycle race primarily held in France, considered one of the most prestigious and challenging events in the sport of cycling.

Journeymen

Skilled workers who have completed their apprenticeships but are not yet masters, typically traveling to gain experience.