The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
이 논문에서 우리는 링 임베딩 문제 잘못된 별 그래프에서. 우리의 임베딩은 경로 전환 방식 및 노드 차용 기술 균일하게 분포된 결함을 가진 4차원 하위별의 고리에 있습니다. 허락하다 Sn ~가되다 n-차원 별 그래프 n! 노드. 우리는 길이가 긴 고리를 보여줄 것입니다 n! - 2f 에 있습니다 Sn 결함이 있는 노드의 수가 많을 때 f 기껏해야 n-삼. 최악의 경우 3실점f 별 그래프는 이분형이므로 결함 없는 링 크기의 노드는 불가피합니다. 또한, 이 결과는 길이의 고리를 구성하는 이전의 가장 좋은 결과보다 우수합니다. n! - 4f 동일한 결함 조건 하에서. 또한 이 결과를 노드와 에지 결함이 동시에 있는 별형 그래프로 확장하면 결함 없는 링 길이를 찾을 수 있습니다. n! - 2 fn in Sn 그것이 포함되어 있을 때 fn 결함이 있는 노드 및 fe 그런 결함이 있는 가장자리 fn + fe
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부
Jung-Hwan CHANG, Chan-Su SHIN, Kyung-Yong CHWA, "Ring Embedding in Faulty Star Graphs" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 9, pp. 1953-1964, September 1999, doi: .
Abstract: In this paper, we consider the ring embedding problem in faulty star graphs. Our embedding is based on the path transition scheme and node borrow technique in the ring of 4-dimensional substars with evenly distributed faults. Let Sn be the n-dimensional star graph having n! nodes. We will show that a ring of length n! - 2f can be found in Sn when the number of faulty nodes f is at most n-3. In the worst case, the loss of 2f nodes in the size of fault-free ring is inevitable because the star graph is bipartite. In addition, this result is superior to the best previous result that constructs the ring of length n! - 4f under the same fault condition. Moreover, by extending this result into the star graph with both node and edge faults simultaneously, we can find the fault-free ring of length n! - 2 fn in Sn when it contains fn faulty nodes and fe faulty edges such that fn + fe
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_9_1953/_p
부
@ARTICLE{e82-a_9_1953,
author={Jung-Hwan CHANG, Chan-Su SHIN, Kyung-Yong CHWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Ring Embedding in Faulty Star Graphs},
year={1999},
volume={E82-A},
number={9},
pages={1953-1964},
abstract={In this paper, we consider the ring embedding problem in faulty star graphs. Our embedding is based on the path transition scheme and node borrow technique in the ring of 4-dimensional substars with evenly distributed faults. Let Sn be the n-dimensional star graph having n! nodes. We will show that a ring of length n! - 2f can be found in Sn when the number of faulty nodes f is at most n-3. In the worst case, the loss of 2f nodes in the size of fault-free ring is inevitable because the star graph is bipartite. In addition, this result is superior to the best previous result that constructs the ring of length n! - 4f under the same fault condition. Moreover, by extending this result into the star graph with both node and edge faults simultaneously, we can find the fault-free ring of length n! - 2 fn in Sn when it contains fn faulty nodes and fe faulty edges such that fn + fe
keywords={},
doi={},
ISSN={},
month={September},}
부
TY - JOUR
TI - Ring Embedding in Faulty Star Graphs
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1953
EP - 1964
AU - Jung-Hwan CHANG
AU - Chan-Su SHIN
AU - Kyung-Yong CHWA
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1999
AB - In this paper, we consider the ring embedding problem in faulty star graphs. Our embedding is based on the path transition scheme and node borrow technique in the ring of 4-dimensional substars with evenly distributed faults. Let Sn be the n-dimensional star graph having n! nodes. We will show that a ring of length n! - 2f can be found in Sn when the number of faulty nodes f is at most n-3. In the worst case, the loss of 2f nodes in the size of fault-free ring is inevitable because the star graph is bipartite. In addition, this result is superior to the best previous result that constructs the ring of length n! - 4f under the same fault condition. Moreover, by extending this result into the star graph with both node and edge faults simultaneously, we can find the fault-free ring of length n! - 2 fn in Sn when it contains fn faulty nodes and fe faulty edges such that fn + fe
ER -