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AT MOST SINGLE-BEND EMBEDDINGS OF CUBIC GRAPHS

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摘要 This paper provides the complete proof of the fact that any planar cubic graph isat most slngle-bend embeddable except for the tetrabedrou. An O(n) amortized time algorithm for drawing an at most single-bend embedding of a cubic graph'.is also presented, where n is the number of vertices of the graph. Furthermore, it is proved that the minimum of the total number of bends in an at most slngle-bend embedding of a cubic graph of order n is less than or equal to 0.5n+1. This result is the best possible.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1994年第2期127-142,共16页 高校应用数学学报(英文版)(B辑)
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