Average weighted receiving time of weighted tetrahedron Koch networks

Average weighted receiving time of weighted tetrahedron Koch networks
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加权四面体科赫网络的平均加权接收时间

DOI:
10.1142/s0218348x15500310
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发表时间:
2015-07
影响因子:
4.7
通讯作者:
Li Lei
Li Lei
中科院分区:
数学2区
文献类型:
--
作者:
Dai Meifeng;Zhang Danping;Ye D;an;Zhang Cheng;Li Lei

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引入了无限权因子的加权四面体Koch网络,它是有限权因子的推广。本文首次定义了加权时间项。平均加权首次通过时间(MWFPT)和平均加权接收时间(AWRT)由加权时间定义。我们研究了体重依赖步行的AWRT。结果表明,非平凡权重因子序列的awt随网络阶次呈次线性增长。为了探讨次线性的原因,讨论了四种情况下的平均接收时间(ART)。
We introduce weighted tetrahedron Koch networks with infinite weight factors, which are generalization of finite ones. The term of weighted time is firstly defined in this literature. The mean weighted first-passing time (MWFPT) and the average weighted receiving time (AWRT) are defined by weighted time accordingly. We study the AWRT with weight-dependent walk. Results show that the AWRT for a nontrivial weight factor sequence grows sublinearly with the network order. To investigate the reason of sublinearity, the average receiving time (ART) for four cases are discussed.
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