Saturation Numbers for Nearly Complete Graphs

Saturation Numbers for Nearly Complete Graphs
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DOI:
10.1007/s00373-011-1128-9
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发表时间:
2013-05
影响因子:
0.7
通讯作者:
R. Faudree;R. Gould
R. Faudree;R. Gould
中科院分区:
数学4区
文献类型:
--
作者:
R. Faudree;R. Gould

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图以及相关极值图的饱和数上限由(Kászonyi 和 Tuza in J. Graph Theory, 10:203–210, 1986)给出。将说明他们的论文中暗示的对该结果的微小改进。使用这个结果,将证明几乎完整的图 Kt−E(L) 的一系列精确饱和数和相关的极值图,其中 Li 是最多 4 阶的图。
An upper bound on the saturation number for graphs as well as associated extremal graphs was given by (Kászonyi and Tuza in J. Graph Theory, 10:203–210, 1986). A minor improvement of that result, which was implied in their paper, will be stated. Using this result, a series of exact saturation numbers and associated extremal graphs will be proved for the nearly complete graphsKt−E(L), whereLis a graph of order at most 4.