정보처리학회논문지:컴퓨터 및 통신 시스템 (KIPS Transactions on Computer and Communication Systems)

  • 제7권12호
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  • Pages.289-294
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  • 2018
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  • 2287-5891(pISSN)
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  • 2734-049X(eISSN)
한국정보처리학회 (Korea Information Processing Society)
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묵시 다원 AM-힙

Implicit D-Ary AM-Heap

  • 정해재 (안동대학교 정보통신공학과)
  • 투고 : 2018.05.08
  • 심사 : 2018.09.27
  • 발행 : 2018.12.31
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⟨ 이전 논문 다음 논문 ⟩

초록

본 논문에서는 AM-힙의 다원 버전인 AM(d)-힙이라고 하는 묵시 다원 우선순위 큐를 제안하며, 제안된 AM(d)-힙에서는 삽입에 O(1) 전이시간이 걸리고 삭제 연산에 O(logn) 시간이 걸린다. 실험 결과에 따르면, 전체적으로 d가 4 또는 8일 때 가장 우수한 성능을 나타내었다. 기존의 후위힙과 비교하면 AM(d)-힙이 약 1.5~1.8배 빠른 것으로 나타났다.

This paper proposes an implicit d-ary priority queue, called AM(d)-heap that is a generalized version of AM-heap, in which insert operation takes constant amortized time and remove operation takes O(logn) time. According to our experimental results, the best performance was shown when d is 4 or 8. Also, AM(d)-heap is about 1.5~1.8 times faster than the postorder heap.

키워드

JBCRIN_2018_v7n12_289_f0001.png 이미지

Fig. 1. AM(4)-heap

JBCRIN_2018_v7n12_289_f0002.png 이미지

Fig. 2. Initialization of AM(d)-heap

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Fig. 3. Heapify operation of AM(d)-heap

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Fig. 4. Insertion of AM(d)-heap

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Fig. 5. AM(4)-heap after Insertions of 55 and 45 into Fig. 1 in Sequence

JBCRIN_2018_v7n12_289_f0006.png 이미지

Fig. 6. Remove Algorithm of AM(d)-heap

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Fig. 7. AM(4)-heap after Removemin from Fig. 5

JBCRIN_2018_v7n12_289_f0008.png 이미지

Fig. 8. Experimental Results (PO: Post-order Heap)

참고문헌

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