带故障边的路和圈的笛卡尔乘积图的哈密尔顿路Hamiltonian Paths of Cartesian Product Graphs of Paths and Cycles with Faulty Edges
姜璎哲,李晶
摘要(Abstract):
容错哈密尔顿性是互连网络研究的经典问题之一,它是衡量一个网络可靠性的重要标准,被广泛应用到当前大型分布式系统的网络拓扑中。该文研究具有一条故障边的路和圈的笛卡尔乘积图P_m×C_n上的哈密尔顿路存在问题,根据故障边位置的不同,对当m≥3,n≥5且n是奇数时的P_m×C_n中哈密尔顿路进行了刻画。
关键词(KeyWords): 互连网络;笛卡尔乘积图;容错问题;哈密尔顿路
基金项目(Foundation): 国家自然科学基金(52004169);; 山西省留学人员回国科研项目(2020-122)
作者(Author): 姜璎哲,李晶
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