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申論題資訊

試卷:110年 - 110台灣聯合大學系統_碩士班招生考試_電機類:離散數學#104950
科目:研究所、轉學考(插大)◆離散數學
年份:110年
排序:0

申論題內容

3. A treed that never gave up on its dream to flourish. [10 points] Let T be a spanning tre

n edge cost function c. T is defined to have the cycle property if for any edge61bae08dc8373.jpg

the cycle generated by adding e' to T. Also, T is defined to have the cut property if for any edge 61bae0c97a43b.jpg

for all e' in the cut defined by e. Show that the following three statements are equiva

 1. T has the cycle property.
 2. T has the cut property.
 3. T is a minimun cost spanning tree.