Online First:25 December 2012,
Published:2012
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尹志敏, 朱大莺. 组合星图中哈密尔顿圈的嵌入问题[J]. 广东工业大学学报, 2012, 29(4): 69-71.
Yin Zhi-min, Zhu Da-ying. Hamilton Ring-embedding Scheme of Edge Fault(n,2)-Star Graphs[J]. 2012, 29(4): 69-71.
尹志敏, 朱大莺. 组合星图中哈密尔顿圈的嵌入问题[J]. 广东工业大学学报, 2012, 29(4): 69-71. DOI: 10.3969/j.issn.1007-7162.2012.04.014.
Yin Zhi-min, Zhu Da-ying. Hamilton Ring-embedding Scheme of Edge Fault(n,2)-Star Graphs[J]. 2012, 29(4): 69-71. DOI: 10.3969/j.issn.1007-7162.2012.04.014.
借用星图中解决包含错误边的哈密尔顿圈的嵌入问题的思想
将其应用到组合星图中
解决组合星图中包含条件边错的哈密尔顿圈的嵌入问题.应用数学归纳法分两种情况证明当错误边的总数|f|≤n-3时,组合星图S
n
2
(n≥4)中存在哈密尔顿圈.
It utilizes ideas of cycle embedding in star graphs with conditional edge faults to solve the problem in (n
k)-star graphs. The problem can be solved in two cases
and it is proved that fault-free Hamilton rings can be found in S
with |f|≤n-3
and n≥4.
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