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Packing edges in random regular graphs
被引:0
|作者:
Beis, M
[1
]
Duckworth, W
Zito, M
机构:
[1] Macquarie Univ, Dept Comp, Sydney, NSW 2109, Australia
[2] Univ Liverpool, Dept Comp Sci, Liverpool L69 7ZF, Merseyside, England
来源:
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D O I:
暂无
中图分类号:
TP301 [理论、方法];
学科分类号:
081202 ;
摘要:
A k-separated matching in a graph is a set of edges at distance at least k from one another (hence, for instance, a 1-separated matching is just a matching in the classical sense). We consider the problem of approximating the solution to the maximum k-separated matching problem in random r-regular graphs for each fixed integer k and each fixed r greater than or equal to 3. We prove both constructive lower bounds and combinatorial upper bounds on the size of the optimal solutions.
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页码:118 / 130
页数:13
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