Practice MYP MYP Extended Mathematics Topic Paths and Cycles with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for Paths and Cycles and mirrors Paper 1, 2 style where relevant.
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The Chinese Postman Problem is defined as finding the shortest 'closed' route that traverses every edge at least once. What does the term 'closed' specifically signify in this context?
In the context of the Chinese Postman Problem, if a connected weighted graph has 4 odd-degree vertices , and , how many distinct ways are there to pair these vertices to find the minimum weight to add?
A connected graph represents a series of hallways in a museum. The degrees of the vertices (junctions) are given by the set . Which of the following statements is true about this graph?
A trail on a connected graph passes through a specific vertex four times (entering and leaving each time). If is not the start or the end of the trail, and no edges are repeated, what is the minimum degree that vertex must have?
Based on the 'unpaired sock' analogy for traversability, what does a vertex with an even degree represent in terms of a journey through the network?